Stat Probability and Samples: The
Distribution of Sample Means exam prep
Sampling error - correct answersnatural discrepancy between a statistic and its corresponding
population parameter
Distribution of sample means - correct answerscollection for all the possible random data sets of a
particular size
Sampling distribution - correct answersgroup of statistics obtained by selecting all possible samples of a
specific size
Sampling distribution - correct answersstatistics obtained by selecting all possible samples of a specific
size from a population
Central limit theorem - correct answersmathematical proposition which serves as a cornerstone for
much of inferential statistics
Expected value of M - correct answersmean of the distribution of sample means which is always equal
to the population mean
Standard error of M - correct answersmeasure of distance expected between sample mean and
population mean
law of large numbers - correct answersrule that larger sample size increases probability that sample and
population means will be close
A random sample of n = 60 scores is selected from a population. Which of the following distributions will
definitely be normal? - correct answersThe distribution of sample means will definitely form a normal
distribution.
A sample of n = 4 scores is selected from a normal population with a mean of µ = 50 and a standard
deviation of σ = 20. What is the probability of obtaining a sample mean greater than M = 48? - correct
answersp = 0.5793
A random sample of n = 16 scores is selected from a normal distribution with μ = 500 and σ = 200. For
this sample, which of the following is true? - correct answersp(402 < M < 598) = 0.95
A sample of n = 4 scores is selected from a normal population with μ = 30 and σ = 8. The probability of
obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z
= 2.00. - correct answersFalse
If the sample size is equal to the population variance (n = σ2), then the standard error is equal to 1. -
correct answerstrue
, What symbol is used to identify the standard error of M? - correct answersσM
For a normal population with µ = 40 and σ = 10, which of the following samples has the highest
probability of being obtained? - correct answersNOT M is less than 36 for a sample of n = 4
Samples of size n = 9 are selected from a population with μ = 80 with σ = 18. What is the expected value
for the distribution of sample means? - correct answers80
A random sample of n = 4 scores is obtained from a population with a mean of µ = 80 and a standard
deviation of σ = 10. If the sample mean is M = 90, what is the z-score for the sample mean? - correct
answersz = 2.00
Samples of n = 16 are selected from a population. If the distribution of sample means has a standard
error of 2 points, then the population has a standard deviation of σ = 8. - correct answerstrue
On average, a sample of n = 16 scores from a population with σ = 10 will provide a better estimate of the
population mean than you would get with a sample of n = 16 scores from a population with σ = 5. -
correct answersfalse
Under what circumstances will the distribution of sample means be normal? - correct answersIf the
population is normal or if the sample size is greater than 30
A sample of n = 9 scores is selected from a normal population with a mean of µ = 80 and a standard
deviation of σ = 12. The probability that the sample mean will be greater than M = 86 is equal to the
probability of obtaining a z-score greater than z = 1.50 - correct answerstrue
As the population standard deviation increases, the standard error will also increase. - correct
answerstrue
The mean for the distribution of sample means is always equal to the mean for the population from
which the samples are obtained. - correct answerstrue
If a sample of n = 4 scores is obtained from a population with μ = 70 and σ = 12, what is the z-score
corresponding to a sample mean of M = 73? - correct answersNOT z = 1.00
A random sample of n = 6 scores is selected from a population. Which of the following distributions will
definitely be normal? - correct answersNone of the distributions (the sample, population, or distribution
of sample means) will definitely be normal.
For a population with µ = 80 and σ = 20, the distribution of sample means based on n = 16 will have an
expected value of ____ and a standard error of ____. - correct answers80; 5
Samples of size n = 9 are selected from a population with μ = 80 with σ = 18. What is the standard error
for the distribution of sample means? - correct answers6
A sample is selected from a population with µ = 30 and σ = 10. If the sample mean of M = 34
corresponds to z = +2.00, then the sample size is n = 25. - correct answerstrue
Distribution of Sample Means exam prep
Sampling error - correct answersnatural discrepancy between a statistic and its corresponding
population parameter
Distribution of sample means - correct answerscollection for all the possible random data sets of a
particular size
Sampling distribution - correct answersgroup of statistics obtained by selecting all possible samples of a
specific size
Sampling distribution - correct answersstatistics obtained by selecting all possible samples of a specific
size from a population
Central limit theorem - correct answersmathematical proposition which serves as a cornerstone for
much of inferential statistics
Expected value of M - correct answersmean of the distribution of sample means which is always equal
to the population mean
Standard error of M - correct answersmeasure of distance expected between sample mean and
population mean
law of large numbers - correct answersrule that larger sample size increases probability that sample and
population means will be close
A random sample of n = 60 scores is selected from a population. Which of the following distributions will
definitely be normal? - correct answersThe distribution of sample means will definitely form a normal
distribution.
A sample of n = 4 scores is selected from a normal population with a mean of µ = 50 and a standard
deviation of σ = 20. What is the probability of obtaining a sample mean greater than M = 48? - correct
answersp = 0.5793
A random sample of n = 16 scores is selected from a normal distribution with μ = 500 and σ = 200. For
this sample, which of the following is true? - correct answersp(402 < M < 598) = 0.95
A sample of n = 4 scores is selected from a normal population with μ = 30 and σ = 8. The probability of
obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z
= 2.00. - correct answersFalse
If the sample size is equal to the population variance (n = σ2), then the standard error is equal to 1. -
correct answerstrue
, What symbol is used to identify the standard error of M? - correct answersσM
For a normal population with µ = 40 and σ = 10, which of the following samples has the highest
probability of being obtained? - correct answersNOT M is less than 36 for a sample of n = 4
Samples of size n = 9 are selected from a population with μ = 80 with σ = 18. What is the expected value
for the distribution of sample means? - correct answers80
A random sample of n = 4 scores is obtained from a population with a mean of µ = 80 and a standard
deviation of σ = 10. If the sample mean is M = 90, what is the z-score for the sample mean? - correct
answersz = 2.00
Samples of n = 16 are selected from a population. If the distribution of sample means has a standard
error of 2 points, then the population has a standard deviation of σ = 8. - correct answerstrue
On average, a sample of n = 16 scores from a population with σ = 10 will provide a better estimate of the
population mean than you would get with a sample of n = 16 scores from a population with σ = 5. -
correct answersfalse
Under what circumstances will the distribution of sample means be normal? - correct answersIf the
population is normal or if the sample size is greater than 30
A sample of n = 9 scores is selected from a normal population with a mean of µ = 80 and a standard
deviation of σ = 12. The probability that the sample mean will be greater than M = 86 is equal to the
probability of obtaining a z-score greater than z = 1.50 - correct answerstrue
As the population standard deviation increases, the standard error will also increase. - correct
answerstrue
The mean for the distribution of sample means is always equal to the mean for the population from
which the samples are obtained. - correct answerstrue
If a sample of n = 4 scores is obtained from a population with μ = 70 and σ = 12, what is the z-score
corresponding to a sample mean of M = 73? - correct answersNOT z = 1.00
A random sample of n = 6 scores is selected from a population. Which of the following distributions will
definitely be normal? - correct answersNone of the distributions (the sample, population, or distribution
of sample means) will definitely be normal.
For a population with µ = 80 and σ = 20, the distribution of sample means based on n = 16 will have an
expected value of ____ and a standard error of ____. - correct answers80; 5
Samples of size n = 9 are selected from a population with μ = 80 with σ = 18. What is the standard error
for the distribution of sample means? - correct answers6
A sample is selected from a population with µ = 30 and σ = 10. If the sample mean of M = 34
corresponds to z = +2.00, then the sample size is n = 25. - correct answerstrue
