Exam 7: The Distribution of Sample Means

A random sample of n = 4 scores is obtained from a normal population with µ = 20 and σ = 4.What is the probability that the sample mean will be greater than M = 22?

(Multiple Choice)

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Question 21

A sample of n = 4 scores has a standard error of 10 points.For the same population, what is the standard error for a sample of n = 16 scores?

(Multiple Choice)

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Question 22

A sample of n = 9 scores is selected from a population with μ = 50 and σ = 12.The probability of obtaining a sample mean greater than 46 is p = 0.8413.

(True/False)

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Question 23

A random sample of n = 9 scores is obtained from a normal population with µ = 40 and σ = 6.What is the probability that the sample mean will be greater than M = 43?

(Multiple Choice)

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Question 24

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?

(Multiple Choice)

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Question 25

A population has µ = 60 and σ = 30.For a sample of n = 25 scores from this population, a sample mean of M = 55 would be considered an extreme value.

(True/False)

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Question 26

If random samples, each with n = 9 scores, are selected from a normal population with µ = 80 and σ = 36, then what is the expected value for the distribution of sample means?

(Multiple Choice)

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Question 27

If a sample of n = 4 scores is obtained from a population with μ = 70 and σ = 12, then what is the z-score corresponding to a sample mean of M = 76?

(Multiple Choice)

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Question 28

What happens to the expected value of M as sample size increases?

(Multiple Choice)

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Question 29

A sample of n = 4 scores is selected from a population with μ = 70 and σ = 10.The probability of obtaining a sample mean greater than 65 is p = 0.8413.

(True/False)

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Question 30

If the standard deviation for a population increases, the standard error for sample means from the population will also increase.

(True/False)

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Question 31

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?

(Multiple Choice)

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Question 32

A sample of n = 4 scores is obtained from a population with μ = 70 and σ = 8.If the sample mean corresponds to a z-score of 2.00, then what is the value of the sample mean?

(Multiple Choice)

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Question 33

If samples of size n = 16 are selected from a population with μ = 40 and σ = 8, the distribution of sample means will have an expected value of 40.

(True/False)

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Question 34

A sample is obtained from a population with μ = 100 and σ = 20.Which of the following samples would produce the most extreme z-score?

(Multiple Choice)

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Question 35

Two samples probably will have different means even if they are both the same size and they are both selected from the same population.

(True/False)

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Question 36

A sample of n = 25 scores is selected from a population with a mean of µ = 80 and a standard deviation of σ = 20.The standard error for the sample mean is 20.

(True/False)

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Question 37

A random sample of n = 4 scores is selected from a population.Which of the following distributions definitely will be normal?

(Multiple Choice)

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Question 38

A researcher obtained M = 27 for a sample of n = 36 scores selected from a population with µ = 30 and σ = 18.This sample mean corresponds to a z?score of z = -1.00.

(True/False)

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Question 39

For a normal population with µ = 40 and σ = 10 which of the following samples has the highest probability of being obtained?

(Multiple Choice)

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Question 40

Showing 21 - 40 of 69

A random sample of n = 4 scores is obtained from a normal population with µ = 20 and σ = 4.What is the probability that the sample mean will be greater than M = 22?

A sample of n = 4 scores has a standard error of 10 points.For the same population, what is the standard error for a sample of n = 16 scores?

A sample of n = 9 scores is selected from a population with μ = 50 and σ = 12.The probability of obtaining a sample mean greater than 46 is p = 0.8413.

A random sample of n = 9 scores is obtained from a normal population with µ = 40 and σ = 6.What is the probability that the sample mean will be greater than M = 43?

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?

A population has µ = 60 and σ = 30.For a sample of n = 25 scores from this population, a sample mean of M = 55 would be considered an extreme value.

If random samples, each with n = 9 scores, are selected from a normal population with µ = 80 and σ = 36, then what is the expected value for the distribution of sample means?

If a sample of n = 4 scores is obtained from a population with μ = 70 and σ = 12, then what is the z-score corresponding to a sample mean of M = 76?

What happens to the expected value of M as sample size increases?

A sample of n = 4 scores is selected from a population with μ = 70 and σ = 10.The probability of obtaining a sample mean greater than 65 is p = 0.8413.

If the standard deviation for a population increases, the standard error for sample means from the population will also increase.

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?

A sample of n = 4 scores is obtained from a population with μ = 70 and σ = 8.If the sample mean corresponds to a z-score of 2.00, then what is the value of the sample mean?

If samples of size n = 16 are selected from a population with μ = 40 and σ = 8, the distribution of sample means will have an expected value of 40.

A sample is obtained from a population with μ = 100 and σ = 20.Which of the following samples would produce the most extreme z-score?

Two samples probably will have different means even if they are both the same size and they are both selected from the same population.

A sample of n = 25 scores is selected from a population with a mean of µ = 80 and a standard deviation of σ = 20.The standard error for the sample mean is 20.

A random sample of n = 4 scores is selected from a population.Which of the following distributions definitely will be normal?

A researcher obtained M = 27 for a sample of n = 36 scores selected from a population with µ = 30 and σ = 18.This sample mean corresponds to a z?score of z = -1.00.

For a normal population with µ = 40 and σ = 10 which of the following samples has the highest probability of being obtained?

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores

Probability

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Anova

Two-Factor Analysis of Variance

Correlation

Introduction to Regression

Chi-Square Tests

The Binomial Test

Choosing the Right Statistics

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