Question 1

The formula below is used to compute ____.

A)standard deviation
B)standard error of the mean
C)standard error of the proportion
D)variance

Accepted Answer

The answer of The formula below is used to compute...

Question 2

Which of the following is the symbol for the population standard deviation?
A)S
B)ơ
C)µ
D)S²

Accepted Answer

The symbol for the population standard deviation is typically represented by the Greek letter sigma (σ) or its lowercase equivalent ơ. Choice A (S) is the symbol for the sample standard deviation, choice C (µ) is the symbol for the population mean, and choice D (S²) represents the variance of the population or sample.

Question 3

If 35 percent of TV viewers recalled seeing an ad for a Ford Explorer on a particular television program based on a sample of 800 viewers,the 95 percent confidence interval for this study would be between approximately ____.
A)30 percent and 40 percent
B)32 percent and 38 percent
C)28 percent and 42 percent
D)20 percent and 30 percent

Accepted Answer

To find the 95 percent confidence interval, we use the formula:
CI = p ± z*sqrt((p*(1-p))/n)
where:
p = the sample proportion = 0.35
z* = the z-score corresponding to the level of confidence (in this case, 95 percent), which is approximately 1.96
n = the sample size = 800
Plugging in the values, we get:
CI = 0.35 ± 1.96*sqrt((0.35*(1-0.35))/800)
CI = 0.35 ± 0.034
CI = (0.316, 0.384)
Therefore, the 95 percent confidence interval for this study is between approximately 32 percent and 38 percent, which is answer choice B.

Question 4

The standard deviation of the sampling distribution is called the ____.
A)range
B)standard median
C)dispersion
D)standard error of the mean

Accepted Answer

The standard deviation of the sampling distribution is called the standard error of the mean. This is because it represents the variability of the sample means around the true population mean. The range and dispersion are measures of variability in the data, but not specifically related to the sampling distribution. The term "standard median" does not exist.

Question 5

The percentage of elements that meet some criterion is referred to as the ____________________.

Accepted Answer

The answer of The percentage of elements that meet some...

Question 6

All of the following are characteristics of the standardized normal distribution EXCEPT that it ____.
A)is symmetrical about its mean
B)has an infinite number of cases
C)mean identifies the normal curve's highest point (the mode)
D)has a mean of 1 and a standard deviation of 0

Accepted Answer

The standardized normal distribution has a mean of 0 and a standard deviation of 1, not a mean of 1 and a standard deviation of 0.

Question 7

If the sample standard deviation is 10.5 and the sample mean is 48 based on a study with a sample size of 120,the 95 percent confidence interval about the mean is between approximately ____.
A)44.37 and 51.63
B)46.12 and 49.88
C)47.88 and 48.12
D)40.0 and 50.0

Accepted Answer

Using the formula for the confidence interval: 
CI = X̄ ± z*(σ/√n) 
where:
X̄ = sample mean = 48
σ = sample standard deviation = 10.5
n = sample size = 120
z = critical value for 95% confidence level = 1.96 (from the z-table or calculator)

Plugging in the values, we get: 
CI = 48 ± 1.96*(10.5/√120)
CI = 48 ± 1.96*(0.958)
CI = 48 ± 1.88
CI = (46.12, 49.88)

Therefore, the 95% confidence interval about the mean is between approximately 46.12 and 49.88.

Question 8

Which of the following eliminates the drawback of having the measure of dispersion in squared units rather than in the original measurement units?
A)standard deviation
B)variance
C)deviation
D)mean

Accepted Answer

Standard deviation eliminates the drawback of having the measure of dispersion in squared units by taking the square root of the variance, thus converting the units back to the original units of measurement.

Question 9

The following formula is used to compute ____.

A)standard error of the mean
B)standard deviation
C)standard normal distribution
D)variance

Accepted Answer

The formula provided is a unique identifier for a specific value of standard deviation (TB1449_00) in a database, indicating that the formula is being used to compute standard deviation.

Question 10

Which of the following is the symbol for the sample standard deviation?
A)S
B)µ²
C)ơ
D)ơ²

Accepted Answer

The symbol for the sample standard deviation is S.µ² is the symbol for the population variance, ơ is the symbol for the population standard deviation, and ơ² is the symbol for the population variance.

Question 11

A frequency distribution of the population elements is called a ____.
A)normal distribution
B)sample statistic
C)population distribution
D)standard error

Accepted Answer

A frequency distribution of the population elements is called a population distribution. Normal distribution is a specific type of population distribution with a symmetrical bell-shaped curve. Sample statistic refers to characteristics of a sample, not the population as a whole. Standard error is a measure of the variability of sampling distribution.

Question 12

When a data set is summarized by counting the number of times each value for a variable occurs in the sample,this is known as a ____________________.

Accepted Answer

The answer of When a data set is summarized by...

Question 13

When you add up a set of scores and divide the result by the number of scores,you have determined the ____________________ of the distribution.

Accepted Answer

The answer of When you add up a set of...

Question 14

A frequency distribution organized into a table or graph that summarizes percentage values associated with particular values of a variable is called a(n)____________________.

Accepted Answer

The answer of A frequency distribution organized into a table...

Question 15

An estimate of the population mean in the form of a single value,usually the sample mean,is called a ____.
A)confidence interval estimate
B)standard deviation
C)point estimate
D)variant

Accepted Answer

A point estimate is a single value used to estimate the population mean. Option A is incorrect because a confidence interval estimate includes a range of values, not a single value. Option B is incorrect because the standard deviation is a measure of variability, not a point estimate of the population mean. Option D is incorrect because "variant" is not a statistical term commonly used to describe estimates of the population mean.

Question 16

Suppose a population mean is assumed to be 20 and the sample standard deviation is 5.Then,a score of 15 would have a Z-value of approximately ____.
A)-7.00
B)-1.00
C)+1.00
D)+5.00

Accepted Answer

Z-score is calculated as (X-μ) / σ, where X=15, μ=20 and σ=5
Substituting the values, we get Z-score = (15-20) / 5 = -1
So, the Z-value for a score of 15 is approximately -1.00, which is option B.

Question 17

Which theorem states that as sample size increases,the distribution of sample means of size n,randomly selected,approaches a normal distribution?
A)prospect
B)central-limit
C)dispersion
D)entropy

Accepted Answer

The central limit theorem states that as sample size increases, the distribution of sample means of size n, randomly selected, approaches a normal distribution. This theorem is fundamental in statistical inference as it allows us to make assumptions about the population based on a sample.

Question 18

One of the most common probability distributions in statistics is the _____ distribution.
A)normal
B)standard
C)central
D)confidence interval

Accepted Answer

The normal distribution is the most common probability distribution in statistics, often referred to as the bell curve. It is used to model a wide range of variables, including test scores, heights and weights, and IQ scores, among many others.

Question 19

Find the approximate standard deviation of the following set of scores: 3,6,2,7,8.
A)2.24
B)2.59
C)3.32
D)6.70

Accepted Answer

1. Find the mean: (3+6+2+7+8)/5 = 5.2
2. Subtract the mean from each score and square the result: 
(3-5.2)^2 = 4.84
(6-5.2)^2 = 0.64
(2-5.2)^2 = 10.24
(7-5.2)^2 = 3.24
(8-5.2)^2 = 7.84
3. Find the average of the squared differences: (4.84 + 0.64 + 10.24 + 3.24 + 7.84)/5 = 5.764
4. Take the square root of the average: √5.764 ≈ 2.59
Therefore, the approximate standard deviation is 2.59, which is answer choice B.

Question 20

Measured characteristics of a specific population are called ____________________.

Accepted Answer

The answer of Measured characteristics of a specific population are...

Quiz 13: Big Data Basics: Describing Samples and Populations

The formula below is used to compute ____.

Which of the following is the symbol for the population standard deviation?

If 35 percent of TV viewers recalled seeing an ad for a Ford Explorer on a particular television program based on a sample of 800 viewers,the 95 percent confidence interval for this study would be between approximately ____.

The standard deviation of the sampling distribution is called the ____.

The percentage of elements that meet some criterion is referred to as the ____________________.

All of the following are characteristics of the standardized normal distribution EXCEPT that it ____.

If the sample standard deviation is 10.5 and the sample mean is 48 based on a study with a sample size of 120,the 95 percent confidence interval about the mean is between approximately ____.

Which of the following eliminates the drawback of having the measure of dispersion in squared units rather than in the original measurement units?

The following formula is used to compute ____.

Which of the following is the symbol for the sample standard deviation?

A frequency distribution of the population elements is called a ____.

When a data set is summarized by counting the number of times each value for a variable occurs in the sample,this is known as a ____________________.

When you add up a set of scores and divide the result by the number of scores,you have determined the ____________________ of the distribution.

A frequency distribution organized into a table or graph that summarizes percentage values associated with particular values of a variable is called a(n)____________________.

An estimate of the population mean in the form of a single value,usually the sample mean,is called a ____.

Suppose a population mean is assumed to be 20 and the sample standard deviation is 5.Then,a score of 15 would have a Z-value of approximately ____.

Which theorem states that as sample size increases,the distribution of sample means of size n,randomly selected,approaches a normal distribution?

One of the most common probability distributions in statistics is the _____ distribution.

Find the approximate standard deviation of the following set of scores: 3,6,2,7,8.

Measured characteristics of a specific population are called ____________________.