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4. Consider the problem of testing Họ: H = 15 against Ha: u> 15 where u is the mean weekly number of hours spent on social media for teenagers in southwester Michigan. A signifiance level of a = 0.05 is planned to be used, and further suppose that we "know that the population standard deviation of this variable is o = 4 hours. (a) What is the smallest sample size neeeded to ensure a power of at least 0.8508 when the true population mean is u = 16? (b) Suppose that a random sample ofn= 50 teenagers is obtained. What is the power of the test to

4. Consider the problem of testing Họ: H = 15 against Ha: u> 15 where u is the mean weekly number of hours spent on social media for teenagers in southwester Michigan. A signifiance level of a = 0.05 is planned to be used, and further suppose that we "know that the population standard deviation of this variable is o = 4 hours. (a) What is the smallest sample size neeeded to ensure a power of at least 0.8508 when the true population mean is u = 16? (b) Suppose that a random sample ofn= 50 teenagers is obtained. What is the power of the test to

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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4. Consider the problem of testing Họ: H = 15 against Ha: u> 15 where u is the mean weekly number of hours spent on social media for teenagers in southwestern Michigan. A signifiance level of a = 0.05 is planned to be used, and further suppose that we "know" that the population standard deviation of this variable is o = 4 hours. (a) What is the smallest sample size neeeded to ensure a power of at least 0.8508 when the true population mean is u = 16? (b) Suppose that a random sample of n = 50 teenagers is obtained. What is the power of the test to reject Ho when the true population mean is u = 16?
Transcribed Image Text:4. Consider the problem of testing Họ: H = 15 against Ha: u> 15 where u is the mean weekly number of hours spent on social media for teenagers in southwestern Michigan. A signifiance level of a = 0.05 is planned to be used, and further suppose that we "know" that the population standard deviation of this variable is o = 4 hours. (a) What is the smallest sample size neeeded to ensure a power of at least 0.8508 when the true population mean is u = 16? (b) Suppose that a random sample of n = 50 teenagers is obtained. What is the power of the test to reject Ho when the true population mean is u = 16?
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