Exam 7: Probability and Samples: The Distribution of Sample Means.

For a particular population,a sample of n = 4 scores has a standard error of 6.For the same population,a sample of n = 16 scores would have a standard error of _____.

(Multiple Choice)

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Question 21

If the sample size is doubled,the standard error will be cut in half.

(True/False)

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Question 22

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?

(Multiple Choice)

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Question 23

A sample is obtained from a population with σ = 20.If the sample mean has a standard error of 5 points,then the sample size is n = 4.

(True/False)

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Question 24

For a normal population with a mean of µ = 80 and a standard deviation of σ = 10,what is the probability of obtaining a sample mean greater than M = 75 for a sample of n = 25 scores?

(Multiple Choice)

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Question 25

If the sample size is equal to the population standard deviation (n = σ),then the standard error for the sample mean is equal to 1.00.

(True/False)

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Question 26

A random sample of n = 9 scores is selected from a normal distribution with μ = 80 and σ = 12.What is the probability that the sample mean will be between 76 and 84?

(Multiple Choice)

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Question 27

A random sample of n = 16 scores is obtained from a population with σ = 12.If the sample mean is 6 points greater than the population mean,what is the z-score for the sample mean?

(Multiple Choice)

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Question 28

A sample of n = 25 scores is selected from a population with μ = 50 and σ = 10.The probability of obtaining a sample mean greater than 55 is p = 0.3085.

(True/False)

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Question 29

The mean for a sample of n = 9 scores has a standard error of 2 points.This sample was selected from a population with a standard deviation of σ = 18.

(True/False)

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Question 30

A sample of n = 16 scores is selected from a normal population with µ = 60 and σ = 20. A)What is the probability that the sample mean will be greater than 50? B)What is the probability that the sample mean will be less than 56? C)What is the probability that the sample mean will be within 5 points of the population mean? That is, what is p(55< X < 65)?

(Short Answer)

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Question 31

If a sample of n = 25 scores is selected from a normal population with µ = 100 and σ = 20,then the sample mean is expected to be around M = 100.Find the exact range of values that will contain the sample mean 80% of the time.

(Short Answer)

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Question 32

As the population standard deviation increases,the standard error will also increase.

(True/False)

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Question 33

The mean for the distribution of sample means is always equal to the mean for the population from which the samples are obtained.

(True/False)

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Question 34

A population has a mean of µ = 80 with ? = 20. A)If a single score is randomly selected from this population, how much distance, on average, should you find between the score and the population mean? B)If a sample of n = 4 scores is randomly selected from this population, how much distance, on average, should you find between the sample mean and the population mean? C)If a sample of n = 100 scores is randomly selected from this population, how much distance, on average, should you find between the sample mean and the population mean?

(Short Answer)

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Question 35

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 36

A random sample of n = 16 scores is obtained from a normal population with µ = 40 and σ = 8.What is the probability that the sample mean will be within 2 points of the population mean?

(Multiple Choice)

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Question 37

Samples of n = 9 scores are selected from a population.If the distribution of sample means has an expected value of 40,then the population has a mean of μ = 40.

(True/False)

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Question 38

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.

(True/False)

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Question 39

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.

(True/False)

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Question 40

Showing 21 - 40 of 84

For a particular population,a sample of n = 4 scores has a standard error of 6.For the same population,a sample of n = 16 scores would have a standard error of _____.

If the sample size is doubled,the standard error will be cut in half.

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?

A sample is obtained from a population with σ = 20.If the sample mean has a standard error of 5 points,then the sample size is n = 4.

For a normal population with a mean of µ = 80 and a standard deviation of σ = 10,what is the probability of obtaining a sample mean greater than M = 75 for a sample of n = 25 scores?

If the sample size is equal to the population standard deviation (n = σ),then the standard error for the sample mean is equal to 1.00.

A random sample of n = 9 scores is selected from a normal distribution with μ = 80 and σ = 12.What is the probability that the sample mean will be between 76 and 84?

A random sample of n = 16 scores is obtained from a population with σ = 12.If the sample mean is 6 points greater than the population mean,what is the z-score for the sample mean?

A sample of n = 25 scores is selected from a population with μ = 50 and σ = 10.The probability of obtaining a sample mean greater than 55 is p = 0.3085.

The mean for a sample of n = 9 scores has a standard error of 2 points.This sample was selected from a population with a standard deviation of σ = 18.

If a sample of n = 25 scores is selected from a normal population with µ = 100 and σ = 20,then the sample mean is expected to be around M = 100.Find the exact range of values that will contain the sample mean 80% of the time.

As the population standard deviation increases,the standard error will also increase.

The mean for the distribution of sample means is always equal to the mean for the population from which the samples are obtained.

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.

A random sample of n = 16 scores is obtained from a normal population with µ = 40 and σ = 8.What is the probability that the sample mean will be within 2 points of the population mean?

Samples of n = 9 scores are selected from a population.If the distribution of sample means has an expected value of 40,then the population has a mean of μ = 40.

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.

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.

Introduction to Statistics.

Frequency Distributions.

Central Tendency.

Variability.

z-Scores: Location of Scores and Standardized Distributions.

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 and Two-Factor Analysis of Variance

Correlation and Regression.

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

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