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The following MINITAB output presents the results of a power calculation for a test concerning a population mean µ. Power and Sample Size 1-Sample t Test Testing mean = null (versus > null) Calculating power for mean = null + difference Alpha = 0.05 Assumed standard deviation = 1.5 Difference Sample Size Target Power Actual Power 18 0.85 0.857299 Is the power calculated for a one-tailed or two-tailed test? b. Assume that the value of u used for the null hypothesis is µ = 3. For what alternate value of u is the power calculated? If the sample size were 25, would the power be less than 0.85, greater than 0.85, or is it impossible to tell from the output? Explain. d. If the difference were 0.5, would the power be less than 0.90, greater than 0.90, or is it impossible to tell from the output? Explain. If the sample size were 17, would the power be less than 0.85, greater than 0.85, or is it impossible to tell from the output? Explain. a. C. e.

The following MINITAB output presents the results of a power calculation for a test concerning a population mean µ. Power and Sample Size 1-Sample t Test Testing mean = null (versus > null) Calculating power for mean = null + difference Alpha = 0.05 Assumed standard deviation = 1.5 Difference Sample Size Target Power Actual Power 18 0.85 0.857299 Is the power calculated for a one-tailed or two-tailed test? b. Assume that the value of u used for the null hypothesis is µ = 3. For what alternate value of u is the power calculated? If the sample size were 25, would the power be less than 0.85, greater than 0.85, or is it impossible to tell from the output? Explain. d. If the difference were 0.5, would the power be less than 0.90, greater than 0.90, or is it impossible to tell from the output? Explain. If the sample size were 17, would the power be less than 0.85, greater than 0.85, or is it impossible to tell from the output? Explain. a. C. e.

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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The following MINITAB output presents the results of a power calculation for a test concerning a population mean µ. Power and Sample Size 1-Sample t Test Testing mean = null (versus > null) Calculating power for mean = null + difference Alpha = 0.05 Assumed standard deviation = 1.5 Difference Sample Size Target Power Actual Power 18 0.85 0.857299 Is the power calculated for a one-tailed or two-tailed test? b. Assume that the value of u used for the null hypothesis is µ = 3. For what alternate value of u is the power calculated? If the sample size were 25, would the power be less than 0.85, greater than 0.85, or is it impossible to tell from the output? Explain. d. If the difference were 0.5, would the power be less than 0.90, greater than 0.90, or is it impossible to tell from the output? Explain. If the sample size were 17, would the power be less than 0.85, greater than 0.85, or is it impossible to tell from the output? Explain. a. C. e.
Transcribed Image Text:The following MINITAB output presents the results of a power calculation for a test concerning a population mean µ. Power and Sample Size 1-Sample t Test Testing mean = null (versus > null) Calculating power for mean = null + difference Alpha = 0.05 Assumed standard deviation = 1.5 Difference Sample Size Target Power Actual Power 18 0.85 0.857299 Is the power calculated for a one-tailed or two-tailed test? b. Assume that the value of u used for the null hypothesis is µ = 3. For what alternate value of u is the power calculated? If the sample size were 25, would the power be less than 0.85, greater than 0.85, or is it impossible to tell from the output? Explain. d. If the difference were 0.5, would the power be less than 0.90, greater than 0.90, or is it impossible to tell from the output? Explain. If the sample size were 17, would the power be less than 0.85, greater than 0.85, or is it impossible to tell from the output? Explain. a. C. e.
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