Question 1

Given a population mean of 68 and a standard deviation of 6, the sampling distribution of means will have an expected value of __________.

Accepted Answer

A)  M 
B)  6 
C)  68 
D)  More information is needed to make this determination. 
A)  M 
B)  6 
C)  68 
D)  More information is needed to make this determination.

Question 2

Given a normally shaped distribution with a μ = 62 and a σM = 5, what is p(M > 52)?

Accepted Answer

A)  .9772 
B)  .0228 
C)  .0047 
D)  .9953 
A)  .9772 
B)  .0228 
C)  .0047 
D)  .9953

Question 3

The formula used to convert a z-score to a sample mean includes all of the following elements, except __________.

Accepted Answer

A)  μ 
B)  z 
C)  σ 
D)  σₘ 
A)  μ 
B)  z 
C)  σ 
D)  σₘ

Question 4

Given the same value for the standard deviation from two distributions but different sample sizes,

Accepted Answer

A)  the smaller sample will more accurately predict the population mean. 
B)  the amount of standard error will be the same for both distributions. 
C)  the smaller sample will produce less standard error. 
D)  the larger sample will produce less standard error. 
A)  the smaller sample will more accurately predict the population mean. 
B)  the amount of standard error will be the same for both distributions. 
C)  the smaller sample will produce less standard error. 
D)  the larger sample will produce less standard error.

Question 5

Given a normally shaped population distribution with a μ = 24 and a σ = 5, what is the probability that an obtained sample of size n = 8 will have a mean that is 
a. above 21?
b. above 27?
c. below 27?

Accepted Answer

a. @#LAT-DLM& @#LAT-DLM& p(M > 21) = .95

Question 6

According to the central limit theorem, the mean of the sampling distribution of means will equal _______.

Accepted Answer

A)  M 
B)  μ 
C)  0 
D)  1 
A)  M 
B)  μ 
C)  0 
D)  1

Question 7

A random sample of n = 25 individuals is drawn from a population with a μ = 63 and a σ = 9. The probability is .1000 that the mean of the sample will be above what value?

Accepted Answer

A)  -1.28 
B)  +1.28 
C)  65.3 
D)  60.70 
A)  -1.28 
B)  +1.28 
C)  65.3 
D)  60.70

Question 8

A psychologist has developed an assessment instrument to measure the degree of people's desire for privacy. The test has been standardized with a μ = 60 and a σ = 12. If a sample of size n = 24 is drawn at random, determine
a. p(M  58).
c. p(M < 58).

Accepted Answer

a. @#LAT-DLM& @#LAT-DLM& p(M < 55) = .02

Question 9

A population distribution is normally distributed with a μ = 57 and a σ = 7. What is the probability of obtaining a sample mean less than 55 if n = 18?

Accepted Answer

The answer of A population distribution is normally distributed with...

Question 10

If a distribution is normally shaped with a μ = 40 and a σM = 4, what is p(M < 38)?

Accepted Answer

A)  .6915 
B)  .3085 
C)  .8413 
D)  .1587 
A)  .6915 
B)  .3085 
C)  .8413 
D)  .1587

Question 11

The standard deviation for two different distributions is 12. The sample size for one of the distributions is 36. Which of the following sample sizes for the other distribution will produce the greatest amount of standard error?

Accepted Answer

A)  49 
B)  64 
C)  81 
D)  Not enough information is provided to make the determination. 
A)  49 
B)  64 
C)  81 
D)  Not enough information is provided to make the determination.

Question 12

The correct notation for determining the probability associated with sample means above 25 is _____________.

Accepted Answer

A)  M = 25 + (z)(σₘ) 
B)  p(M > 25) 
C)  M = z + (25)(σₘ) 
D)  p(μ > 25) 
A)  M = 25 + (z)(σₘ) 
B)  p(M > 25) 
C)  M = z + (25)(σₘ) 
D)  p(μ > 25)

Question 13

Given a normally shaped distribution with a μ = 100 and a σ = 16, a sample of 36 individuals is randomly selected. The mean of the sample was 107. The z-score for the sample mean would be _______.

Accepted Answer

A)  +2.62 
B)  -2.62 
C)  +.44 
D)  -.44 
A)  +2.62 
B)  -2.62 
C)  +.44 
D)  -.44

Question 14

The mean of the sampling distribution of means is called the _________________.

Accepted Answer

A)  expected value 
B)  standard error of the mean 
C)  grand mean 
D)  overall mean 
A)  expected value 
B)  standard error of the mean 
C)  grand mean 
D)  overall mean

Question 15

Which of the following statements is true regarding the sampling distribution of means?

Accepted Answer

A)  If the population from which a sample was drawn is not normal, then the sampling distribution cannot be normal. 
B)  If the sample drawn from the population is small enough, then the sampling distribution can be normal, even if the population itself is not. 
C)  If the sample drawn from the population is large enough, then the sampling distribution can be normal, even if the population itself is not. 
D)  None of the above statements is true. 
A)  If the population from which a sample was drawn is not normal, then the sampling distribution cannot be normal. 
B)  If the sample drawn from the population is small enough, then the sampling distribution can be normal, even if the population itself is not. 
C)  If the sample drawn from the population is large enough, then the sampling distribution can be normal, even if the population itself is not. 
D)  None of the above statements is true.

Question 16

A population of scores is normally distributed with a μ = 95 and a σM = 5. The probability that a randomly drawn sample of n = 12 will have a mean of 88 or above is _________.

Accepted Answer

A)  .0808 
B)  .9192 
C)  .7190 
D)  .2810 
A)  .0808 
B)  .9192 
C)  .7190 
D)  .2810

Question 17

A normally shaped population distribution has μ = 55 and a σ = 5. If samples of size n = 20 are drawn at random, what range of sample means would be expected to occur 98% of the time?

Accepted Answer

@#LAT-DLM& z-score associated with upper

Question 18

In order to determine the standard error of the mean, we need to know

Accepted Answer

A)  μ and σ. 
B)  σ and n. 
C)  M and σ. 
D)  μ and n. 
A)  μ and σ. 
B)  σ and n. 
C)  M and σ. 
D)  μ and n.

Question 19

A normally shaped distribution has a μ = 36 and a σM = 2. The probability that a randomly drawn sample of n = 25 will have a mean of 38 or above is _________.

Accepted Answer

A)  .0228 
B)  .9772 
C)  .1587 
D)  .8413 
A)  .0228 
B)  .9772 
C)  .1587 
D)  .8413

Question 20

Given μ = 75 and a σ = 10, the expected value for a sampling distribution of means, based on sample sizes of 36, will be _______.

Accepted Answer

A)  75 
B)  2.08 
C)  10 
D)  12.5 
A)  75 
B)  2.08 
C)  10 
D)  12.5

Given a population mean of 68 and a standard deviation of 6, the sampling distribution of means will have an expected value of __________.

Given a normally shaped distribution with a μ = 62 and a σ_M = 5, what is p(M > 52)?

The formula used to convert a z-score to a sample mean includes all of the following elements, except __________.

Given the same value for the standard deviation from two distributions but different sample sizes,

Given a normally shaped population distribution with a μ = 24 and a σ = 5, what is the probability that an obtained sample of size n = 8 will have a mean that is a. above 21? b. above 27? c. below 27?

According to the central limit theorem, the mean of the sampling distribution of means will equal _______.

A random sample of n = 25 individuals is drawn from a population with a μ = 63 and a σ = 9. The probability is .1000 that the mean of the sample will be above what value?

A psychologist has developed an assessment instrument to measure the degree of people's desire for privacy. The test has been standardized with a μ = 60 and a σ = 12. If a sample of size n = 24 is drawn at random, determine a. p(M < 55). b. P(M > 58). c. p(M < 58).

A population distribution is normally distributed with a μ = 57 and a σ = 7. What is the probability of obtaining a sample mean less than 55 if n = 18?

If a distribution is normally shaped with a μ = 40 and a σ_M = 4, what is p(M < 38)?

The standard deviation for two different distributions is 12. The sample size for one of the distributions is 36. Which of the following sample sizes for the other distribution will produce the greatest amount of standard error?

The correct notation for determining the probability associated with sample means above 25 is _____________.

Given a normally shaped distribution with a μ = 100 and a σ = 16, a sample of 36 individuals is randomly selected. The mean of the sample was 107. The z-score for the sample mean would be _______.

The mean of the sampling distribution of means is called the _________________.

Which of the following statements is true regarding the sampling distribution of means?

A population of scores is normally distributed with a μ = 95 and a σ_M = 5. The probability that a randomly drawn sample of n = 12 will have a mean of 88 or above is _________.

A normally shaped population distribution has μ = 55 and a σ = 5. If samples of size n = 20 are drawn at random, what range of sample means would be expected to occur 98% of the time?

In order to determine the standard error of the mean, we need to know

A normally shaped distribution has a μ = 36 and a σ_M = 2. The probability that a randomly drawn sample of n = 25 will have a mean of 38 or above is _________.

Given μ = 75 and a σ = 10, the expected value for a sampling distribution of means, based on sample sizes of 36, will be _______.

Organizing Data Using Tables and Graphs

Measures of Central Tendency

Measures of Variability

Z-Scores and Other Standard Scores

Probability and the Normal Distribution

Hypothesis Testing

One-Sample T-Test

Two-Sample T-Test: Independent Samples Design

Two-Sample T-Test: Related Samples Design

Confidence Interval Versus Point Estimation

One-Way Analysis of Variance

Factorial Analysis of Variance

Correlation and Regression

Chi-Square

Introduction to Statistics

Nonparametric Statistics for Ordinal Data

Filters

Exam 7: Sampling Distribution of Means

Given a population mean of 68 and a standard deviation of 6, the sampling distribution of means will have an expected value of __________.

Given a normally shaped distribution with a μ = 62 and a σM = 5, what is p(M > 52)?

The formula used to convert a z-score to a sample mean includes all of the following elements, except __________.

Given the same value for the standard deviation from two distributions but different sample sizes,

Given a normally shaped population distribution with a μ = 24 and a σ = 5, what is the probability that an obtained sample of size n = 8 will have a mean that is a. above 21? b. above 27? c. below 27?

According to the central limit theorem, the mean of the sampling distribution of means will equal _______.

A random sample of n = 25 individuals is drawn from a population with a μ = 63 and a σ = 9. The probability is .1000 that the mean of the sample will be above what value?

A psychologist has developed an assessment instrument to measure the degree of people's desire for privacy. The test has been standardized with a μ = 60 and a σ = 12. If a sample of size n = 24 is drawn at random, determine a. p(M < 55). b. P(M > 58). c. p(M < 58).

A population distribution is normally distributed with a μ = 57 and a σ = 7. What is the probability of obtaining a sample mean less than 55 if n = 18?

If a distribution is normally shaped with a μ = 40 and a σM = 4, what is p(M < 38)?

The standard deviation for two different distributions is 12. The sample size for one of the distributions is 36. Which of the following sample sizes for the other distribution will produce the greatest amount of standard error?

The correct notation for determining the probability associated with sample means above 25 is _____________.

Given a normally shaped distribution with a μ = 100 and a σ = 16, a sample of 36 individuals is randomly selected. The mean of the sample was 107. The z-score for the sample mean would be _______.

The mean of the sampling distribution of means is called the _________________.

Which of the following statements is true regarding the sampling distribution of means?

A population of scores is normally distributed with a μ = 95 and a σM = 5. The probability that a randomly drawn sample of n = 12 will have a mean of 88 or above is _________.

A normally shaped population distribution has μ = 55 and a σ = 5. If samples of size n = 20 are drawn at random, what range of sample means would be expected to occur 98% of the time?

In order to determine the standard error of the mean, we need to know

A normally shaped distribution has a μ = 36 and a σM = 2. The probability that a randomly drawn sample of n = 25 will have a mean of 38 or above is _________.

Given μ = 75 and a σ = 10, the expected value for a sampling distribution of means, based on sample sizes of 36, will be _______.

Organizing Data Using Tables and Graphs

Measures of Central Tendency

Measures of Variability

Z-Scores and Other Standard Scores

Probability and the Normal Distribution

Hypothesis Testing

One-Sample T-Test

Two-Sample T-Test: Independent Samples Design

Two-Sample T-Test: Related Samples Design

Confidence Interval Versus Point Estimation

One-Way Analysis of Variance

Factorial Analysis of Variance

Correlation and Regression

Chi-Square

Introduction to Statistics

Nonparametric Statistics for Ordinal Data

Filters

Given a normally shaped distribution with a μ = 62 and a σ_M = 5, what is p(M > 52)?

If a distribution is normally shaped with a μ = 40 and a σ_M = 4, what is p(M < 38)?

A population of scores is normally distributed with a μ = 95 and a σ_M = 5. The probability that a randomly drawn sample of n = 12 will have a mean of 88 or above is _________.

A normally shaped distribution has a μ = 36 and a σ_M = 2. The probability that a randomly drawn sample of n = 25 will have a mean of 38 or above is _________.