The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has mean 128mm 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.
The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has mean 128mm 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.
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
Transcribed Image Text:Side-by-Side
The National Center for Health Statistics reports that the
systolic blood pressure for males 35 to 44 years of age has
mean 128mm 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.

Transcribed Image Text: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 =
Can the test be relied on to detect a mean that differs
from 128 mm Hg. by 6 mm Hg?
Yes, the test can be relied on to detect this
difference, because the power is low.
Yes, the test can be relied on to detect this
difference, because the power is high.
No, the test cannot be relied on to detect this
difference, because the power is high.
No, the test cannot be relied on to detect this
difference, because the significance is low.
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