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

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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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