Deck 7: Sampling and Sampling Distributions

ملء الشاشة (f)
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سؤال
A subset of a population selected to represent the population is a

A)subset
B)sample
C)small population
D)None of the alternative answers is correct.
استخدم زر المسافة أو
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لقلب البطاقة.
سؤال
The set of all elements of interest in a study is

A)set notation
B)a set of interest
C)a sample
D)a population
سؤال
A probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is

A)stratified random sampling
B)cluster sampling
C)systematic sampling
D)convenience sampling
سؤال
The finite correction factor should be used in the computation of <strong>The finite correction factor should be used in the computation of   when n/N is greater than</strong> A).01 B).025 C).05 D).10 <div style=padding-top: 35px> when n/N is greater than

A).01
B).025
C).05
D).10
سؤال
There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 (without replacement) which are possible equals

A)12
B)15
C)3
D)16
سؤال
The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is

A)15
B)10
C)20
D)125
سؤال
The population being studied is usually considered ______ if it involves an ongoing process that makes listing or counting every element in the population impossible.

A)finite
B)infinite
C)skewed
D)symmetric
سؤال
The standard deviation of <strong>The standard deviation of   is referred to as the</strong> A)standard x B)standard error of the mean C)sample standard mean D)sample mean deviation <div style=padding-top: 35px> is referred to as the

A)standard x
B)standard error of the mean
C)sample standard mean
D)sample mean deviation
سؤال
The standard deviation of <strong>The standard deviation of   is referred to as the</strong> A)standard proportion B)sample proportion C)average proportion D)standard error of the proportion <div style=padding-top: 35px> is referred to as the

A)standard proportion
B)sample proportion
C)average proportion
D)standard error of the proportion
سؤال
A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size

A)N has the same probability of being selected
B)n has a probability of 0.5 of being selected
C)n has a probability of 0.1 of being selected
D)n has the same probability of being selected
سؤال
A population consists of 8 items. The number of different simple random samples of size 3 (without replacement) that can be selected from this population is

A)24
B)56
C)512
D)128
سؤال
A simple random sample of size n from a finite population of size N is to be selected. Each possible sample should have

A)the same probability of being selected
B)a probability of 1/n of being selected
C)a probability of 1/N of being selected
D)a probability of N/n of being selected
سؤال
The expected value of <strong>The expected value of   equals the mean of the population from which the sample is drawn</strong> A)only if the sample size is 30 or greater B)only if the sample size is 50 or greater C)only if the sample size is 100 or greater D)for any sample size <div style=padding-top: 35px> equals the mean of the population from which the sample is drawn

A)only if the sample size is 30 or greater
B)only if the sample size is 50 or greater
C)only if the sample size is 100 or greater
D)for any sample size
سؤال
How many different samples of size 3 (without replacement) can be taken from a finite population of size 10?

A)30
B)1,000
C)720
D)120
سؤال
The value of the ___________ is used to estimate the value of the population parameter.

A)population statistic
B)sample parameter
C)population estimate
D)sample statistic
سؤال
Excel's RAND function

A)determines sample size
B)selects a simple random sample
C)randomizes a population
D)generates random numbers
سؤال
A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first selection, the probability of an element being selected is

A)0.100
B)0.010
C)0.001
D)0.002
سؤال
The purpose of statistical inference is to provide information about the

A)sample based upon information contained in the population
B)population based upon information contained in the sample
C)population based upon information contained in the population
D)mean of the sample based upon the mean of the population
سؤال
The standard deviation of a point estimator is the

A)standard error
B)sample statistic
C)point estimate
D)sampling error
سؤال
The basis for using a normal probability distribution to approximate the sampling distribution of <strong>The basis for using a normal probability distribution to approximate the sampling distribution of   is</strong> A)Chebyshev's theorem B)the empirical rule C)the central limit theorem D)Bayes' theorem <div style=padding-top: 35px> is

A)Chebyshev's theorem
B)the empirical rule
C)the central limit theorem
D)Bayes' theorem
سؤال
A simple random sample of 28 observations was taken from a large population. The sample mean equaled 50. Fifty is a

A)population parameter
B)point estimator
C)sample parameter
D)point estimate
سؤال
The probability distribution of all possible values of the sample mean is called the

A)central probability distribution
B)sampling distribution of the sample mean
C)random variation
D)standard error
سؤال
The sampling distribution of the sample mean

A)is the probability distribution showing all possible values of the sample mean
B)is used as a point estimator of the population mean μ\mu
C)is an unbiased estimator
D)shows the distribution of all possible values of μ\mu
سؤال
A probability distribution for all possible values of a sample statistic is known as a

A)sample statistic
B)parameter
C)simple random sample
D)sampling distribution
سؤال
Which of the following is(are) point estimator(s)?

A) σ\sigma
B) μ\mu
C)s
D)All of these answers are correct.
سؤال
A single numerical value used as an estimate of a population parameter is known as

A)a parameter
B)a population parameter
C)both a parameter or a population parameter are correct
D)a point estimate
سؤال
Since the sample size is always smaller than the size of the population, the sample mean must

A)always be smaller than the population mean
B)be larger than the population mean
C)be equal to the population mean
D)None of the alternative ANSWERS is correct.
سؤال
A numerical measure from a population, such as a population mean, is called

A)a statistic
B)a parameter
C)a sample
D)the mean deviation
سؤال
The standard deviation of all possible <strong>The standard deviation of all possible   values is called the</strong> A)standard error of proportion B)standard error of the mean C)mean deviation D)central variation <div style=padding-top: 35px> values is called the

A)standard error of proportion
B)standard error of the mean
C)mean deviation
D)central variation
سؤال
A sample statistic, such as <strong>A sample statistic, such as   , that estimates the value of the corresponding population parameter is known as a</strong> A)point estimator B)parameter C)population parameter D)Both a parameter and a population parameter are correct. <div style=padding-top: 35px> , that estimates the value of the corresponding population parameter is known as a

A)point estimator
B)parameter
C)population parameter
D)Both a parameter and a population parameter are correct.
سؤال
A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means

A)whenever the population is infinite
B)whenever the sample size is more than 5% of the population size
C)whenever the sample size is less than 5% of the population size
D)The correction factor is not necessary if the population has a normal distribution
سؤال
A numerical measure from a sample, such as a sample mean, is known as

A)a statistic
B)a parameter
C)the mean deviation
D)the central limit theorem
سؤال
If we consider the simple random sampling process as an experiment, the sample mean is

A)always zero
B)always smaller than the population mean
C)a random variable
D)exactly equal to the population mean
سؤال
The sample statistic s is the point estimator of

A) μ\mu
B) σ\sigma
C) <strong>The sample statistic s is the point estimator of</strong> A) \mu  B) \sigma  C)  D)  <div style=padding-top: 35px>
D) <strong>The sample statistic s is the point estimator of</strong> A) \mu  B) \sigma  C)  D)  <div style=padding-top: 35px>
سؤال
A simple random sample from a process (an infinite population) is a sample selected such that

A)each element selected comes from the same population
B)each element is selected independently
C)each element selected comes from the same population and each element is selected independently
D)the probability of being selected changes
سؤال
The sample mean is the point estimator of

A) μ\mu
B) σ\sigma
C)  <strong>The sample mean is the point estimator of</strong> A) \mu  B) \sigma  C)   D)  <div style=padding-top: 35px>
D) <strong>The sample mean is the point estimator of</strong> A) \mu  B) \sigma  C)   D)  <div style=padding-top: 35px>
سؤال
In point estimation, data from the

A)population is used to estimate the population parameter
B)sample is used to estimate the population parameter
C)sample is used to estimate the sample statistic
D)None of the alternative ANSWERS is correct.
سؤال
A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained. <strong>A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained.   A point estimate of the population mean is</strong> A)5 B)18 C)19 D)20 <div style=padding-top: 35px> A point estimate of the population mean is

A)5
B)18
C)19
D)20
سؤال
In computing the standard error of the mean, the finite population correction factor is not used when

A)n/N >\gt 0.05
B)N/n \le 0.05
C)n/N \le 0.05
D)n \ge 30
سؤال
The expected value of the random variable  <strong>The expected value of the random variable   is</strong> A) \sigma  B)the standard error C)the sample size D) \mu  <div style=padding-top: 35px>  is

A) σ\sigma
B)the standard error
C)the sample size
D) μ\mu
سؤال
Random samples of size 81 are taken from a process (an infinite population) whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standard error of the distribution of sample means are

A)200 and 18
B)81 and 18
C)9 and 2
D)200 and 2
سؤال
As the sample size becomes larger, the sampling distribution of the sample mean approaches a

A)binomial distribution
B)Poisson distribution
C)hypergeometric distribution
D)None of the alternative answers is correct.
سؤال
As the sample size increases, the

A)standard deviation of the population decreases
B)population mean increases
C)standard error of the mean decreases
D)standard error of the mean increases
سؤال
A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80.54 and 88.9 is

A)0.0347
B)0.7200
C)0.9511
D)None of the alternative answers is correct.
سؤال
A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sample mean was determined to be 320. The standard error of the mean is

A)1.875
B)40
C)5
D)15
سؤال
Doubling the size of the sample will

A)reduce the standard error of the mean to one-half its current value
B)reduce the standard error of the mean to approximately 70% of its current value
C)have no effect on the standard error of the mean
D)double the standard error of the mean
سؤال
From a population of 500 elements, a sample of 225 elements is selected. It is known that the variance of the population is 900. The standard error of the mean is approximately

A)1.1022
B)2
C)30
D)1.4847
سؤال
A sample of 92 observations is taken from a process (an infinite population). The sampling distribution of <strong>A sample of 92 observations is taken from a process (an infinite population). The sampling distribution of   is approximately normal because</strong> A)   is always approximately normally distributed B)the sample size is small in comparison to the population size C)of the central limit theorem D)None of the alternative answers is correct. <div style=padding-top: 35px> is approximately normal because

A) <strong>A sample of 92 observations is taken from a process (an infinite population). The sampling distribution of   is approximately normal because</strong> A)   is always approximately normally distributed B)the sample size is small in comparison to the population size C)of the central limit theorem D)None of the alternative answers is correct. <div style=padding-top: 35px> is always approximately normally distributed
B)the sample size is small in comparison to the population size
C)of the central limit theorem
D)None of the alternative answers is correct.
سؤال
The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the

A)central limit theorem
B)fact that there are tables of areas for the normal distribution
C)assumption that the population has a normal distribution
D)All of these answers are correct.
سؤال
Random samples of size 36 are taken from a process (an infinite population) whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the distribution of sample mean are

A)36 and 15
B)20 and 15
C)20 and 0.417
D)20 and 2.5
سؤال
A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 82 is

A)0.5228
B)0.9772
C)0.4772
D)0.0228
سؤال
A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is

A)0
B).0495
C).4505
D)None of the alternative answers is correct.
سؤال
A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the mean from that sample will be between 183 and 186 is

A)0.1359
B)0.8185
C)0.3413
D)0.4772
سؤال
Whenever the population has a normal probability distribution, the sampling distribution of <strong>Whenever the population has a normal probability distribution, the sampling distribution of   is a normal probability distribution for</strong> A)only large sample sizes B)only small sample sizes C)any sample size D)only samples of size thirty or greater <div style=padding-top: 35px> is a normal probability distribution for

A)only large sample sizes
B)only small sample sizes
C)any sample size
D)only samples of size thirty or greater
سؤال
As the sample size increases, the variability among the sample means

A)increases
B)decreases
C)remains the same
D)depends upon the specific population being sampled
سؤال
From a population of 200 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is determined that the sample mean is 56. The standard error of the mean is

A)3
B)2
C)greater than 2
D)less than 2
سؤال
A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as the

A)approximation theorem
B)normal probability theorem
C)central limit theorem
D)central normality theorem
سؤال
A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of <strong>A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of   is</strong> A)approximately normal because   is always approximately normally distributed B)approximately normal because the sample size is large in comparison to the population size C)approximately normal because of the central limit theorem D)normal if the population is normally distributed <div style=padding-top: 35px> is

A)approximately normal because <strong>A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of   is</strong> A)approximately normal because   is always approximately normally distributed B)approximately normal because the sample size is large in comparison to the population size C)approximately normal because of the central limit theorem D)normal if the population is normally distributed <div style=padding-top: 35px> is always approximately normally distributed
B)approximately normal because the sample size is large in comparison to the population size
C)approximately normal because of the central limit theorem
D)normal if the population is normally distributed
سؤال
For a population with an unknown distribution, the form of the sampling distribution of the sample mean is

A)approximately normal for all sample sizes
B)exactly normal for large sample sizes
C)exactly normal for all sample sizes
D)approximately normal for large sample sizes
سؤال
Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196. The distribution of the population is unknown. The mean and the standard error of the distribution of sample means are

A)180 and 24.39
B)180 and 28
C)180 and 1.74
D)180 and 2
سؤال
Convenience sampling is an example of

A)probabilistic sampling
B)stratified sampling
C)a nonprobability sampling technique
D)cluster sampling
سؤال
Random samples of size 525 are taken from a process (an infinite population) whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is

A)0.0004
B)0.2100
C)0.3000
D)0.0200
سؤال
When the population has a normal distribution, the sampling distribution of <strong>When the population has a normal distribution, the sampling distribution of   is normally distributed</strong> A)for any sample size B)for any sample size of 30 or more C)for any sample size of 50 or more D)for any sample from a finite population <div style=padding-top: 35px> is normally distributed

A)for any sample size
B)for any sample size of 30 or more
C)for any sample size of 50 or more
D)for any sample from a finite population
سؤال
Which of the following is an example of a nonprobability sampling technique?

A)simple random sampling
B)stratified random sampling
C)cluster sampling
D)judgment sampling
سؤال
Exhibit 7-1
The following data was collected from a simple random sample from a process (an infinite population).
<strong>Exhibit 7-1 The following data was collected from a simple random sample from a process (an infinite population).   Refer to Exhibit 7-1. The point estimate of the population standard deviation is</strong> A)2.500 B)1.581 C)2.000 D)1.414 <div style=padding-top: 35px>
Refer to Exhibit 7-1. The point estimate of the population standard deviation is

A)2.500
B)1.581
C)2.000
D)1.414
سؤال
Exhibit 7-1
The following data was collected from a simple random sample from a process (an infinite population).
<strong>Exhibit 7-1 The following data was collected from a simple random sample from a process (an infinite population).   Refer to Exhibit 7-1. The point estimate of the population mean</strong> A)is 5 B)is 14 C)is 4 D)cannot be determined because the population is infinite <div style=padding-top: 35px>
Refer to Exhibit 7-1. The point estimate of the population mean

A)is 5
B)is 14
C)is 4
D)cannot be determined because the population is infinite
سؤال
Cluster sampling is

A)a nonprobability sampling method
B)the same as convenience sampling
C)a probability sampling method
D)None of the alternative answers is correct.
سؤال
A sample of 66 observations will be taken from a process (an infinite population). The population proportion equals 0.12. The probability that the sample proportion will be less than 0.1768 is

A)0.0568
B)0.0778
C)0.4222
D)0.9222
سؤال
A random sample of 150 people was taken from a very large population. Ninety of the people in the sample were females. The standard error of the proportion of females is

A)0.0016
B)0.2400
C)0.1600
D)0.0400
سؤال
A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of  <strong>A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of   is</strong> A)not normal since n  \lt  30 B)approximately normal because   is always normally distributed C)approximately normal if np  \ge  5 and n(1-p)  \ge  5 D)approximately normal if np  \gt  30 and n(1-p)  \gt  30 <div style=padding-top: 35px>  is

A)not normal since n <\lt 30
B)approximately normal because  <strong>A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of   is</strong> A)not normal since n  \lt  30 B)approximately normal because   is always normally distributed C)approximately normal if np  \ge  5 and n(1-p)  \ge  5 D)approximately normal if np  \gt  30 and n(1-p)  \gt  30 <div style=padding-top: 35px>  is always normally distributed
C)approximately normal if np \ge 5 and n(1-p) \ge 5
D)approximately normal if np >\gt 30 and n(1-p) >\gt 30
سؤال
A sample of 400 observations will be taken from a process (an infinite population). The population proportion equals 0.8. The probability that the sample proportion will be greater than 0.83 is

A)0.4332
B)0.9332
C)0.0668
D)0.5668
سؤال
Stratified random sampling is a method of selecting a sample in which

A)the sample is first divided into groups, and then random samples are taken from each group
B)various strata are selected from the sample
C)the population is first divided into groups, and then random samples are drawn from each group
D)None of the alternative answers is correct.
سؤال
Which of the following sampling methods does not lead to probability samples?

A)stratified sampling
B)cluster sampling
C)systematic sampling
D)convenience sampling
سؤال
The probability distribution of all possible values of the sample proportion <strong>The probability distribution of all possible values of the sample proportion   is the</strong> A)probability density function of   B)sampling distribution of   C)same as  , since it considers all possible values of the sample proportion D)sampling distribution of   <div style=padding-top: 35px> is the

A)probability density function of <strong>The probability distribution of all possible values of the sample proportion   is the</strong> A)probability density function of   B)sampling distribution of   C)same as  , since it considers all possible values of the sample proportion D)sampling distribution of   <div style=padding-top: 35px>
B)sampling distribution of <strong>The probability distribution of all possible values of the sample proportion   is the</strong> A)probability density function of   B)sampling distribution of   C)same as  , since it considers all possible values of the sample proportion D)sampling distribution of   <div style=padding-top: 35px>
C)same as <strong>The probability distribution of all possible values of the sample proportion   is the</strong> A)probability density function of   B)sampling distribution of   C)same as  , since it considers all possible values of the sample proportion D)sampling distribution of   <div style=padding-top: 35px> , since it considers all possible values of the sample proportion
D)sampling distribution of 11ec9df6_850d_ea00_91b3_614dcf4dce21_TB2074_11
سؤال
The population we want to make inferences about is the

A)sampled population
B)frame
C)target population
D)finite population
سؤال
It is impossible to construct a frame for a

A)finite population
B)infinite population
C)target population
D)sampled population
سؤال
A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

A)500 and 0.047
B)500 and 0.050
C)0.5 and 0.047
D)0.5 and 0.050
سؤال
As a general rule, the sampling distribution of the sample proportions can be approximated by a normal probability distribution whenever

A)np \ge 5
B)n(1 - p) \ge 5
C)n \ge 30
D)Both np \ge 5 and n(1 - p) \ge 5 are true.
سؤال
Random samples of size 100 are taken from a process (an infinite population) whose population proportion is 0.2. The mean and standard deviation of the distribution of sample proportions are

A)0.2 and .04
B)0.2 and 0.2
C)20 and .04
D)None of the alternative answers is correct.
سؤال
A sample of 51 observations will be taken from a process (an infinite population). The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

A)0.0345
B)0.0819
C)0.6900
D)0.8633
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Deck 7: Sampling and Sampling Distributions
1
A subset of a population selected to represent the population is a

A)subset
B)sample
C)small population
D)None of the alternative answers is correct.
sample
2
The set of all elements of interest in a study is

A)set notation
B)a set of interest
C)a sample
D)a population
a population
3
A probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is

A)stratified random sampling
B)cluster sampling
C)systematic sampling
D)convenience sampling
systematic sampling
4
The finite correction factor should be used in the computation of <strong>The finite correction factor should be used in the computation of   when n/N is greater than</strong> A).01 B).025 C).05 D).10 when n/N is greater than

A).01
B).025
C).05
D).10
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5
There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 (without replacement) which are possible equals

A)12
B)15
C)3
D)16
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6
The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is

A)15
B)10
C)20
D)125
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7
The population being studied is usually considered ______ if it involves an ongoing process that makes listing or counting every element in the population impossible.

A)finite
B)infinite
C)skewed
D)symmetric
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8
The standard deviation of <strong>The standard deviation of   is referred to as the</strong> A)standard x B)standard error of the mean C)sample standard mean D)sample mean deviation is referred to as the

A)standard x
B)standard error of the mean
C)sample standard mean
D)sample mean deviation
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9
The standard deviation of <strong>The standard deviation of   is referred to as the</strong> A)standard proportion B)sample proportion C)average proportion D)standard error of the proportion is referred to as the

A)standard proportion
B)sample proportion
C)average proportion
D)standard error of the proportion
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10
A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size

A)N has the same probability of being selected
B)n has a probability of 0.5 of being selected
C)n has a probability of 0.1 of being selected
D)n has the same probability of being selected
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11
A population consists of 8 items. The number of different simple random samples of size 3 (without replacement) that can be selected from this population is

A)24
B)56
C)512
D)128
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12
A simple random sample of size n from a finite population of size N is to be selected. Each possible sample should have

A)the same probability of being selected
B)a probability of 1/n of being selected
C)a probability of 1/N of being selected
D)a probability of N/n of being selected
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13
The expected value of <strong>The expected value of   equals the mean of the population from which the sample is drawn</strong> A)only if the sample size is 30 or greater B)only if the sample size is 50 or greater C)only if the sample size is 100 or greater D)for any sample size equals the mean of the population from which the sample is drawn

A)only if the sample size is 30 or greater
B)only if the sample size is 50 or greater
C)only if the sample size is 100 or greater
D)for any sample size
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14
How many different samples of size 3 (without replacement) can be taken from a finite population of size 10?

A)30
B)1,000
C)720
D)120
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15
The value of the ___________ is used to estimate the value of the population parameter.

A)population statistic
B)sample parameter
C)population estimate
D)sample statistic
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16
Excel's RAND function

A)determines sample size
B)selects a simple random sample
C)randomizes a population
D)generates random numbers
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17
A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first selection, the probability of an element being selected is

A)0.100
B)0.010
C)0.001
D)0.002
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18
The purpose of statistical inference is to provide information about the

A)sample based upon information contained in the population
B)population based upon information contained in the sample
C)population based upon information contained in the population
D)mean of the sample based upon the mean of the population
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19
The standard deviation of a point estimator is the

A)standard error
B)sample statistic
C)point estimate
D)sampling error
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20
The basis for using a normal probability distribution to approximate the sampling distribution of <strong>The basis for using a normal probability distribution to approximate the sampling distribution of   is</strong> A)Chebyshev's theorem B)the empirical rule C)the central limit theorem D)Bayes' theorem is

A)Chebyshev's theorem
B)the empirical rule
C)the central limit theorem
D)Bayes' theorem
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21
A simple random sample of 28 observations was taken from a large population. The sample mean equaled 50. Fifty is a

A)population parameter
B)point estimator
C)sample parameter
D)point estimate
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22
The probability distribution of all possible values of the sample mean is called the

A)central probability distribution
B)sampling distribution of the sample mean
C)random variation
D)standard error
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23
The sampling distribution of the sample mean

A)is the probability distribution showing all possible values of the sample mean
B)is used as a point estimator of the population mean μ\mu
C)is an unbiased estimator
D)shows the distribution of all possible values of μ\mu
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24
A probability distribution for all possible values of a sample statistic is known as a

A)sample statistic
B)parameter
C)simple random sample
D)sampling distribution
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25
Which of the following is(are) point estimator(s)?

A) σ\sigma
B) μ\mu
C)s
D)All of these answers are correct.
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26
A single numerical value used as an estimate of a population parameter is known as

A)a parameter
B)a population parameter
C)both a parameter or a population parameter are correct
D)a point estimate
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27
Since the sample size is always smaller than the size of the population, the sample mean must

A)always be smaller than the population mean
B)be larger than the population mean
C)be equal to the population mean
D)None of the alternative ANSWERS is correct.
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28
A numerical measure from a population, such as a population mean, is called

A)a statistic
B)a parameter
C)a sample
D)the mean deviation
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29
The standard deviation of all possible <strong>The standard deviation of all possible   values is called the</strong> A)standard error of proportion B)standard error of the mean C)mean deviation D)central variation values is called the

A)standard error of proportion
B)standard error of the mean
C)mean deviation
D)central variation
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30
A sample statistic, such as <strong>A sample statistic, such as   , that estimates the value of the corresponding population parameter is known as a</strong> A)point estimator B)parameter C)population parameter D)Both a parameter and a population parameter are correct. , that estimates the value of the corresponding population parameter is known as a

A)point estimator
B)parameter
C)population parameter
D)Both a parameter and a population parameter are correct.
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31
A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means

A)whenever the population is infinite
B)whenever the sample size is more than 5% of the population size
C)whenever the sample size is less than 5% of the population size
D)The correction factor is not necessary if the population has a normal distribution
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32
A numerical measure from a sample, such as a sample mean, is known as

A)a statistic
B)a parameter
C)the mean deviation
D)the central limit theorem
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33
If we consider the simple random sampling process as an experiment, the sample mean is

A)always zero
B)always smaller than the population mean
C)a random variable
D)exactly equal to the population mean
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34
The sample statistic s is the point estimator of

A) μ\mu
B) σ\sigma
C) <strong>The sample statistic s is the point estimator of</strong> A) \mu  B) \sigma  C)  D)
D) <strong>The sample statistic s is the point estimator of</strong> A) \mu  B) \sigma  C)  D)
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35
A simple random sample from a process (an infinite population) is a sample selected such that

A)each element selected comes from the same population
B)each element is selected independently
C)each element selected comes from the same population and each element is selected independently
D)the probability of being selected changes
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36
The sample mean is the point estimator of

A) μ\mu
B) σ\sigma
C)  <strong>The sample mean is the point estimator of</strong> A) \mu  B) \sigma  C)   D)
D) <strong>The sample mean is the point estimator of</strong> A) \mu  B) \sigma  C)   D)
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37
In point estimation, data from the

A)population is used to estimate the population parameter
B)sample is used to estimate the population parameter
C)sample is used to estimate the sample statistic
D)None of the alternative ANSWERS is correct.
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38
A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained. <strong>A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained.   A point estimate of the population mean is</strong> A)5 B)18 C)19 D)20 A point estimate of the population mean is

A)5
B)18
C)19
D)20
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39
In computing the standard error of the mean, the finite population correction factor is not used when

A)n/N >\gt 0.05
B)N/n \le 0.05
C)n/N \le 0.05
D)n \ge 30
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40
The expected value of the random variable  <strong>The expected value of the random variable   is</strong> A) \sigma  B)the standard error C)the sample size D) \mu   is

A) σ\sigma
B)the standard error
C)the sample size
D) μ\mu
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41
Random samples of size 81 are taken from a process (an infinite population) whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standard error of the distribution of sample means are

A)200 and 18
B)81 and 18
C)9 and 2
D)200 and 2
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42
As the sample size becomes larger, the sampling distribution of the sample mean approaches a

A)binomial distribution
B)Poisson distribution
C)hypergeometric distribution
D)None of the alternative answers is correct.
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43
As the sample size increases, the

A)standard deviation of the population decreases
B)population mean increases
C)standard error of the mean decreases
D)standard error of the mean increases
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44
A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80.54 and 88.9 is

A)0.0347
B)0.7200
C)0.9511
D)None of the alternative answers is correct.
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45
A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sample mean was determined to be 320. The standard error of the mean is

A)1.875
B)40
C)5
D)15
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46
Doubling the size of the sample will

A)reduce the standard error of the mean to one-half its current value
B)reduce the standard error of the mean to approximately 70% of its current value
C)have no effect on the standard error of the mean
D)double the standard error of the mean
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47
From a population of 500 elements, a sample of 225 elements is selected. It is known that the variance of the population is 900. The standard error of the mean is approximately

A)1.1022
B)2
C)30
D)1.4847
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48
A sample of 92 observations is taken from a process (an infinite population). The sampling distribution of <strong>A sample of 92 observations is taken from a process (an infinite population). The sampling distribution of   is approximately normal because</strong> A)   is always approximately normally distributed B)the sample size is small in comparison to the population size C)of the central limit theorem D)None of the alternative answers is correct. is approximately normal because

A) <strong>A sample of 92 observations is taken from a process (an infinite population). The sampling distribution of   is approximately normal because</strong> A)   is always approximately normally distributed B)the sample size is small in comparison to the population size C)of the central limit theorem D)None of the alternative answers is correct. is always approximately normally distributed
B)the sample size is small in comparison to the population size
C)of the central limit theorem
D)None of the alternative answers is correct.
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49
The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the

A)central limit theorem
B)fact that there are tables of areas for the normal distribution
C)assumption that the population has a normal distribution
D)All of these answers are correct.
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50
Random samples of size 36 are taken from a process (an infinite population) whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the distribution of sample mean are

A)36 and 15
B)20 and 15
C)20 and 0.417
D)20 and 2.5
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51
A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 82 is

A)0.5228
B)0.9772
C)0.4772
D)0.0228
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52
A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is

A)0
B).0495
C).4505
D)None of the alternative answers is correct.
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53
A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the mean from that sample will be between 183 and 186 is

A)0.1359
B)0.8185
C)0.3413
D)0.4772
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54
Whenever the population has a normal probability distribution, the sampling distribution of <strong>Whenever the population has a normal probability distribution, the sampling distribution of   is a normal probability distribution for</strong> A)only large sample sizes B)only small sample sizes C)any sample size D)only samples of size thirty or greater is a normal probability distribution for

A)only large sample sizes
B)only small sample sizes
C)any sample size
D)only samples of size thirty or greater
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55
As the sample size increases, the variability among the sample means

A)increases
B)decreases
C)remains the same
D)depends upon the specific population being sampled
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56
From a population of 200 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is determined that the sample mean is 56. The standard error of the mean is

A)3
B)2
C)greater than 2
D)less than 2
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57
A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as the

A)approximation theorem
B)normal probability theorem
C)central limit theorem
D)central normality theorem
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58
A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of <strong>A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of   is</strong> A)approximately normal because   is always approximately normally distributed B)approximately normal because the sample size is large in comparison to the population size C)approximately normal because of the central limit theorem D)normal if the population is normally distributed is

A)approximately normal because <strong>A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of   is</strong> A)approximately normal because   is always approximately normally distributed B)approximately normal because the sample size is large in comparison to the population size C)approximately normal because of the central limit theorem D)normal if the population is normally distributed is always approximately normally distributed
B)approximately normal because the sample size is large in comparison to the population size
C)approximately normal because of the central limit theorem
D)normal if the population is normally distributed
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59
For a population with an unknown distribution, the form of the sampling distribution of the sample mean is

A)approximately normal for all sample sizes
B)exactly normal for large sample sizes
C)exactly normal for all sample sizes
D)approximately normal for large sample sizes
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60
Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196. The distribution of the population is unknown. The mean and the standard error of the distribution of sample means are

A)180 and 24.39
B)180 and 28
C)180 and 1.74
D)180 and 2
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61
Convenience sampling is an example of

A)probabilistic sampling
B)stratified sampling
C)a nonprobability sampling technique
D)cluster sampling
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62
Random samples of size 525 are taken from a process (an infinite population) whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is

A)0.0004
B)0.2100
C)0.3000
D)0.0200
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63
When the population has a normal distribution, the sampling distribution of <strong>When the population has a normal distribution, the sampling distribution of   is normally distributed</strong> A)for any sample size B)for any sample size of 30 or more C)for any sample size of 50 or more D)for any sample from a finite population is normally distributed

A)for any sample size
B)for any sample size of 30 or more
C)for any sample size of 50 or more
D)for any sample from a finite population
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64
Which of the following is an example of a nonprobability sampling technique?

A)simple random sampling
B)stratified random sampling
C)cluster sampling
D)judgment sampling
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65
Exhibit 7-1
The following data was collected from a simple random sample from a process (an infinite population).
<strong>Exhibit 7-1 The following data was collected from a simple random sample from a process (an infinite population).   Refer to Exhibit 7-1. The point estimate of the population standard deviation is</strong> A)2.500 B)1.581 C)2.000 D)1.414
Refer to Exhibit 7-1. The point estimate of the population standard deviation is

A)2.500
B)1.581
C)2.000
D)1.414
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66
Exhibit 7-1
The following data was collected from a simple random sample from a process (an infinite population).
<strong>Exhibit 7-1 The following data was collected from a simple random sample from a process (an infinite population).   Refer to Exhibit 7-1. The point estimate of the population mean</strong> A)is 5 B)is 14 C)is 4 D)cannot be determined because the population is infinite
Refer to Exhibit 7-1. The point estimate of the population mean

A)is 5
B)is 14
C)is 4
D)cannot be determined because the population is infinite
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67
Cluster sampling is

A)a nonprobability sampling method
B)the same as convenience sampling
C)a probability sampling method
D)None of the alternative answers is correct.
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68
A sample of 66 observations will be taken from a process (an infinite population). The population proportion equals 0.12. The probability that the sample proportion will be less than 0.1768 is

A)0.0568
B)0.0778
C)0.4222
D)0.9222
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69
A random sample of 150 people was taken from a very large population. Ninety of the people in the sample were females. The standard error of the proportion of females is

A)0.0016
B)0.2400
C)0.1600
D)0.0400
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70
A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of  <strong>A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of   is</strong> A)not normal since n  \lt  30 B)approximately normal because   is always normally distributed C)approximately normal if np  \ge  5 and n(1-p)  \ge  5 D)approximately normal if np  \gt  30 and n(1-p)  \gt  30  is

A)not normal since n <\lt 30
B)approximately normal because  <strong>A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of   is</strong> A)not normal since n  \lt  30 B)approximately normal because   is always normally distributed C)approximately normal if np  \ge  5 and n(1-p)  \ge  5 D)approximately normal if np  \gt  30 and n(1-p)  \gt  30  is always normally distributed
C)approximately normal if np \ge 5 and n(1-p) \ge 5
D)approximately normal if np >\gt 30 and n(1-p) >\gt 30
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71
A sample of 400 observations will be taken from a process (an infinite population). The population proportion equals 0.8. The probability that the sample proportion will be greater than 0.83 is

A)0.4332
B)0.9332
C)0.0668
D)0.5668
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72
Stratified random sampling is a method of selecting a sample in which

A)the sample is first divided into groups, and then random samples are taken from each group
B)various strata are selected from the sample
C)the population is first divided into groups, and then random samples are drawn from each group
D)None of the alternative answers is correct.
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73
Which of the following sampling methods does not lead to probability samples?

A)stratified sampling
B)cluster sampling
C)systematic sampling
D)convenience sampling
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74
The probability distribution of all possible values of the sample proportion <strong>The probability distribution of all possible values of the sample proportion   is the</strong> A)probability density function of   B)sampling distribution of   C)same as  , since it considers all possible values of the sample proportion D)sampling distribution of   is the

A)probability density function of <strong>The probability distribution of all possible values of the sample proportion   is the</strong> A)probability density function of   B)sampling distribution of   C)same as  , since it considers all possible values of the sample proportion D)sampling distribution of
B)sampling distribution of <strong>The probability distribution of all possible values of the sample proportion   is the</strong> A)probability density function of   B)sampling distribution of   C)same as  , since it considers all possible values of the sample proportion D)sampling distribution of
C)same as <strong>The probability distribution of all possible values of the sample proportion   is the</strong> A)probability density function of   B)sampling distribution of   C)same as  , since it considers all possible values of the sample proportion D)sampling distribution of   , since it considers all possible values of the sample proportion
D)sampling distribution of 11ec9df6_850d_ea00_91b3_614dcf4dce21_TB2074_11
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75
The population we want to make inferences about is the

A)sampled population
B)frame
C)target population
D)finite population
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76
It is impossible to construct a frame for a

A)finite population
B)infinite population
C)target population
D)sampled population
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77
A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

A)500 and 0.047
B)500 and 0.050
C)0.5 and 0.047
D)0.5 and 0.050
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78
As a general rule, the sampling distribution of the sample proportions can be approximated by a normal probability distribution whenever

A)np \ge 5
B)n(1 - p) \ge 5
C)n \ge 30
D)Both np \ge 5 and n(1 - p) \ge 5 are true.
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79
Random samples of size 100 are taken from a process (an infinite population) whose population proportion is 0.2. The mean and standard deviation of the distribution of sample proportions are

A)0.2 and .04
B)0.2 and 0.2
C)20 and .04
D)None of the alternative answers is correct.
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80
A sample of 51 observations will be taken from a process (an infinite population). The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

A)0.0345
B)0.0819
C)0.6900
D)0.8633
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