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1. Assignment for Chapter 7 (The Distribution of Sample Means) A sample is selected from a population with a mean of μ = 30 and a standard deviation of σ = 15. a. If the sample has n = 9 scores, what is the expected value of M and the standard error of M? b. If the sample has n = 36 scores, what is the expected value of M and the standard error of M? For a population with σ = 24, how large a sample is necessary to have a standard error that is equal to 8 points? 2. a. b. equal to 6 points? C. equal to 4 points? 3. Scores on a standardized math test for fifth-grade students form a normal distribution with a mean of 60 and a standard deviation of σ = 18. What is the probability of obtaining a sample mean greater than M = 63 for each of the following? a. A sample of n = 9 students b. A sample of n = 16 students C. A sample of n 36 students 4. 5. Sales representatives at a cellular phone retailer sell a mean of µ = 200 and a standard deviation of 75 smartphones per year. Assume that sales are normally distributed. What is the probability of obtaining a sample mean greater than M = 216 for a sample of n = 25? Suppose that a researcher developed a drug that she claims increases extraversion. A sample of n = 36 participants has a sample mean of M = 22 on a personality assessment after taking the drug. The personality test has a population mean of μ = 19 and σ = 12 and scores are normally distributed. What is the probability of obtaining a sample mean greater than M = 22 for a sample of n = 36?

1. Assignment for Chapter 7 (The Distribution of Sample Means) A sample is selected from a population with a mean of μ = 30 and a standard deviation of σ = 15. a. If the sample has n = 9 scores, what is the expected value of M and the standard error of M? b. If the sample has n = 36 scores, what is the expected value of M and the standard error of M? For a population with σ = 24, how large a sample is necessary to have a standard error that is equal to 8 points? 2. a. b. equal to 6 points? C. equal to 4 points? 3. Scores on a standardized math test for fifth-grade students form a normal distribution with a mean of 60 and a standard deviation of σ = 18. What is the probability of obtaining a sample mean greater than M = 63 for each of the following? a. A sample of n = 9 students b. A sample of n = 16 students C. A sample of n 36 students 4. 5. Sales representatives at a cellular phone retailer sell a mean of µ = 200 and a standard deviation of 75 smartphones per year. Assume that sales are normally distributed. What is the probability of obtaining a sample mean greater than M = 216 for a sample of n = 25? Suppose that a researcher developed a drug that she claims increases extraversion. A sample of n = 36 participants has a sample mean of M = 22 on a personality assessment after taking the drug. The personality test has a population mean of μ = 19 and σ = 12 and scores are normally distributed. What is the probability of obtaining a sample mean greater than M = 22 for a sample of n = 36?

Ciccarelli: Psychology_5 (5th Edition)
Ciccarelli: Psychology_5 (5th Edition)
5th Edition
ISBN:9780134477961
Author:Saundra K. Ciccarelli, J. Noland White
Publisher:Saundra K. Ciccarelli, J. Noland White
Chapter1: The Science Of Psychology
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1. Assignment for Chapter 7 (The Distribution of Sample Means) A sample is selected from a population with a mean of μ = 30 and a standard deviation of σ = 15. a. If the sample has n = 9 scores, what is the expected value of M and the standard error of M? b. If the sample has n = 36 scores, what is the expected value of M and the standard error of M? For a population with σ = 24, how large a sample is necessary to have a standard error that is equal to 8 points? 2. a. b. equal to 6 points? C. equal to 4 points? 3. Scores on a standardized math test for fifth-grade students form a normal distribution with a mean of 60 and a standard deviation of σ = 18. What is the probability of obtaining a sample mean greater than M = 63 for each of the following? a. A sample of n = 9 students b. A sample of n = 16 students C. A sample of n 36 students 4. 5. Sales representatives at a cellular phone retailer sell a mean of µ = 200 and a standard deviation of 75 smartphones per year. Assume that sales are normally distributed. What is the probability of obtaining a sample mean greater than M = 216 for a sample of n = 25? Suppose that a researcher developed a drug that she claims increases extraversion. A sample of n = 36 participants has a sample mean of M = 22 on a personality assessment after taking the drug. The personality test has a population mean of μ = 19 and σ = 12 and scores are normally distributed. What is the probability of obtaining a sample mean greater than M = 22 for a sample of n = 36?
Transcribed Image Text:1. Assignment for Chapter 7 (The Distribution of Sample Means) A sample is selected from a population with a mean of μ = 30 and a standard deviation of σ = 15. a. If the sample has n = 9 scores, what is the expected value of M and the standard error of M? b. If the sample has n = 36 scores, what is the expected value of M and the standard error of M? For a population with σ = 24, how large a sample is necessary to have a standard error that is equal to 8 points? 2. a. b. equal to 6 points? C. equal to 4 points? 3. Scores on a standardized math test for fifth-grade students form a normal distribution with a mean of 60 and a standard deviation of σ = 18. What is the probability of obtaining a sample mean greater than M = 63 for each of the following? a. A sample of n = 9 students b. A sample of n = 16 students C. A sample of n 36 students 4. 5. Sales representatives at a cellular phone retailer sell a mean of µ = 200 and a standard deviation of 75 smartphones per year. Assume that sales are normally distributed. What is the probability of obtaining a sample mean greater than M = 216 for a sample of n = 25? Suppose that a researcher developed a drug that she claims increases extraversion. A sample of n = 36 participants has a sample mean of M = 22 on a personality assessment after taking the drug. The personality test has a population mean of μ = 19 and σ = 12 and scores are normally distributed. What is the probability of obtaining a sample mean greater than M = 22 for a sample of n = 36?
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