he National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has mean 28mm Hg and standard deviation 15 mm Hg. The medical director of a large company looks at the medical records of 72 Executives in this age group and finds that the mean systolic blood pressure in this sample is x = 126.07 mm Hg. At a 5% significance level, the data fail to show significant evidence that the mean blood pressure of a population of executives differs from the national mean μ = 128 mm Hg. The medical director now wonders if the test used would detect an important difference if one were present.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has mean
28mm Hg and standard deviation 15 mm Hg. The medical director of a large company looks at the medical records of 72
executives in this age group and finds that the mean systolic blood pressure in this sample is x = 126.07 mm Hg.
At a 5% significance level, the data fail to show significant evidence that the mean blood pressure of a population of
executives differs from the national mean = 128 mm Hg. The medical director now wonders if the test used would detect
an important difference if one were present.
Use the applet to calculate the power of the test against the alternative μ = 122 mm Hg. Provide your answer to three
decimal places.
Power =
Transcribed Image Text:The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has mean 28mm Hg and standard deviation 15 mm Hg. The medical director of a large company looks at the medical records of 72 executives in this age group and finds that the mean systolic blood pressure in this sample is x = 126.07 mm Hg. At a 5% significance level, the data fail to show significant evidence that the mean blood pressure of a population of executives differs from the national mean = 128 mm Hg. The medical director now wonders if the test used would detect an important difference if one were present. Use the applet to calculate the power of the test against the alternative μ = 122 mm Hg. Provide your answer to three decimal places. Power =
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