Question 1

The symbol for the sample standard deviation is ________.
A) p
B) n²
C) n
D) s²
E) s

Accepted Answer

The symbol for the sample standard deviation is represented by the letter "s". This is different from the population standard deviation, which is represented by the Greek letter sigma (σ). The sample standard deviation is used to measure the spread or variability of a sample, and is an important tool in statistical analysis.

Question 2

Generally,large samples are desirable in social media research.

Accepted Answer

Large samples in social media research provide more representative and reliable data for analysis and generalization of findings.

Question 3

The range into which the true population parameter will fall,assuming a given level of confidence,is called the ________.
A) confidence interval
B) precision level
C) sampling distribution
D) standard deviation
E) standard range

Accepted Answer

The range into which the true population parameter will fall, assuming a given level of confidence, is called the confidence interval. This is a common statistical concept used in inferential statistics, where we use sample data to make inferences about a larger population. The confidence interval gives us an idea of the precision of our estimate and the level of certainty we can have in our results.

Question 4

________ is the process of generalizing the sample results to the population results.
A) Randomizing
B) Hypothesizing
C) Statistical inference
D) Standardizing
E) Parsing

Accepted Answer

Statistical inference involves using the results from a sample to make conclusions about the population. This process involves utilizing statistical techniques such as estimation, hypothesis testing, and confidence intervals to infer information about a larger group based on a representative sample. Randomizing, hypothesizing, standardizing, and parsing are not directly related to the process of statistical inference.

Question 5

The number of standard errors that a point is away from the mean is called the ________.
A) F value
B) P value
C) z value
D) t value
E) chi-square value

Accepted Answer

The z value represents the number of standard errors that a point is away from the mean. The F value is used in ANOVA to test for differences between group means, the P value is a probability of getting a test statistic as extreme as observed or more extreme assuming null hypothesis is true, the t value is used in hypothesis tests for a single mean or the difference between two means, and the chi-square value is used in hypothesis tests involving categorical data.

Question 6

A ________ is a summary description of a characteristic or measure of the sample.
A) statistic
B) confidence interval
C) sampling distribution
D) confidence level
E) summary judgment

Accepted Answer

A statistic is a summary description of a characteristic or measure of the sample. Examples include mean, standard deviation, and proportion. Confidence intervals and levels are used to estimate the range of plausible values for a population parameter based on the sample statistic and the sampling distribution describes the pattern of sample statistics that would be obtained if repeatedly drawing samples from the same population. "Summary judgment" is not a statistical term.

Question 7

The standard deviation of the sampling distribution of the mean or proportion is called ________.
A) unsymmetrical error
B) standard error
C) variance
D) random error
E) median

Accepted Answer

The standard deviation of the sampling distribution of the mean or proportion is called the standard error. It measures how spread out the sample means are from the population mean and is a key component in hypothesis testing and confidence intervals. The other choices are not correct definitions of the standard deviation of the sampling distribution.

Question 8

The error that results when the particular sample selected is an imperfect representation of the population of interest is called ________.
A) random sampling error
B) symmetrical error
C) standard error
D) nonrandom sampling error
E) under/over error

Accepted Answer

The answer of The error that results when the particular...

Question 9

According to the text,as the sample size increases the sampling distribution of the mean becomes a(n)________.
A) unsymmetrical distribution
B) normal distribution
C) inverted distribution
D) random distribution
E) chi-square distribution

Accepted Answer

As per the Central Limit Theorem, as the sample size increases, the sampling distribution of the mean approaches a normal distribution.

Question 10

According to the text,a ________ denotes the true value that would be obtained if a census,rather than a sample,were undertaken.
A) standard deviation
B) statistical inference
C) normal distribution
D) parameter
E) standard normal

Accepted Answer

A parameter is a characteristic or measure of a population, including the true value that would be obtained if a census were conducted. Therefore, option D is the correct answer. Standard deviation (A), statistical inference (B), normal distribution (C), and standard normal (E) are not specifically related to the true value of a population parameter.

Question 11

Which of the following is the maximum permissible difference between the sample statistic and the population parameter?
A) confidence interval
B) random sampling error
C) precision level
D) standard deviation
E) range

Accepted Answer

The precision level is the maximum permissible difference between the sample statistic and the population parameter, indicating the degree of accuracy desired in the results.

Question 12

The distribution of the values of a sample statistic computed for each possible sample that could be drawn from the target population under a specified sampling plan is called the ________.
A) confidence level
B) sampling distribution
C) normal distribution
D) standard deviation
E) standard values distribution

Accepted Answer

The definition given in the question describes the sampling distribution. The other options are not correct based on the given definition. Confidence level refers to the degree of certainty we have in the estimate of the population parameter, not the distribution of sample statistics. Normal distribution is a specific type of probability distribution with defined parameters, but the question doesn't state that the sampling distribution follows a normal distribution. Standard deviation and standard values distribution are not related to the definition given in the question.

Question 13

The ________ is used as an estimate of the population parameter.
A) random sampling error
B) sample statistic
C) confidence level
D) precision level
E) standard deviate

Accepted Answer

A sample statistic is a numerical measure that describes a characteristic of a sample. It is used as an estimate of the corresponding population parameter. For example, the sample mean is often used as an estimate of the population mean.

Question 14

A summary description of a fixed characteristic or measure of the target population is called a ________.
A) parameter
B) standard deviation
C) statistical inference
D) normal distribution
E) variance

Accepted Answer

A parameter is a fixed characteristic or measure of the target population, such as the population mean or proportion, whereas options B, C, D, and E are not fixed characteristics or measures of the population.

Question 15

When estimating a population parameter by using a sample statistic,the ________ is the desired size of the estimating interval.
A) confidence interval
B) precision level
C) random sampling error
D) standard deviation
E) mode

Accepted Answer

The precision level refers to the desired size of the estimating interval when estimating a population parameter using a sample statistic. It indicates how close the estimate is expected to be to the actual population parameter.

Question 16

Which of the following measures of central tendency for a normal distribution is not identical?
A) mean
B) median
C) mode
D) All are identical for a normal distribution.
E) none are identical

Accepted Answer

For a normal distribution, the mean, median, and mode are all identical.

Question 17

The measures of central tendency for a normal distribution are all ________.
A) inverted
B) random
C) identical
D) uncertain
E) binary

Accepted Answer

In a normal distribution, the measures of central tendency (mean, median, and mode) will all be identical.

Question 18

According to the text,the ________ is the probability that a confidence interval will include the population parameter.
A) precision level
B) standard deviation
C) variance
D) confidence level
E) under/over

Accepted Answer

The confidence level is the probability that a confidence interval will include the population parameter. It is typically expressed as a percentage, for example, a 95% confidence level means that there is a 95% chance that the interval will contain the true population parameter.

Question 19

A ________ is a basis for classical statistical inference that is bell-shaped and symmetrical in appearance.
A) normal distribution
B) standard deviation
C) variance
D) confidence interval
E) classic symmetry

Accepted Answer

The normal distribution is a bell-shaped and symmetrical distribution that serves as the basis for classical statistical inference. It is commonly used in hypothesis testing and confidence interval calculations. The other options (B, C, D, and E) are not distributions but rather measures or concepts related to statistical inference.

Question 20

In cases where the population standard deviation is unknown,it is estimated by the sample standard deviation.In this case,the standard error of the mean becomes:
A) mean / proportion
B) standard variate / standard deviate
C) the z-value
D) p (1 - p)
E) sample standard deviation / square root of sample size

Accepted Answer

When the population standard deviation is unknown, the sample standard deviation is used to estimate it, hence, the standard error of the mean becomes the sample standard deviation divided by the square root of the sample size. This is represented by choice E.

Quiz 13: Sampling: Final and Initial Sample Size Determination

The symbol for the sample standard deviation is ________.

Generally,large samples are desirable in social media research.

The range into which the true population parameter will fall,assuming a given level of confidence,is called the ________.

________ is the process of generalizing the sample results to the population results.

The number of standard errors that a point is away from the mean is called the ________.

A ________ is a summary description of a characteristic or measure of the sample.

The standard deviation of the sampling distribution of the mean or proportion is called ________.

The error that results when the particular sample selected is an imperfect representation of the population of interest is called ________.

According to the text,as the sample size increases the sampling distribution of the mean becomes a(n) ________.

According to the text,a ________ denotes the true value that would be obtained if a census,rather than a sample,were undertaken.

Which of the following is the maximum permissible difference between the sample statistic and the population parameter?

The distribution of the values of a sample statistic computed for each possible sample that could be drawn from the target population under a specified sampling plan is called the ________.

The ________ is used as an estimate of the population parameter.

A summary description of a fixed characteristic or measure of the target population is called a ________.

When estimating a population parameter by using a sample statistic,the ________ is the desired size of the estimating interval.

Which of the following measures of central tendency for a normal distribution is not identical?

The measures of central tendency for a normal distribution are all ________.

According to the text,the ________ is the probability that a confidence interval will include the population parameter.

A ________ is a basis for classical statistical inference that is bell-shaped and symmetrical in appearance.

In cases where the population standard deviation is unknown,it is estimated by the sample standard deviation.In this case,the standard error of the mean becomes: