Question

A researcher studying stress is interested in the blood pressure measurements of chief executive officers (CEOs) of major corporations. He believes that the mean systolic blood pressure,

μ

, of CEOs of major corporations is more than

136

mm Hg, which is the value reported in a possibly outdated journal article. He plans to perform a statistical test and measures the systolic blood pressures of a random sample of

75

CEOs of major corporations.

Suppose that the population of systolic blood pressures among CEOs of major corporations has a standard deviation of

18

mm Hg and that the researcher performs his hypothesis test using the

0.05

level of significance.

Based on this information, answer the questions below. Carry your intermediate computations to at least four decimal places, and round your responses as indicated.

(If necessary, consult a list of formulas.)

What are the null and alternative hypotheses that the researcher should use for the test?	H0:μis		less than less than or equal to greater than greater than or equal to not equal to Equal to	75 136 142 18
	H1:μis		less than less than or equal to greater than greater than or equal to not equal to equal to	75 136 142 18
Assuming that the actual value of µ is 142 mm Hg, what is the probability that the researcher accepts the null hypothesis? Round your response to at least two decimal places.
What is the probability that the researcher commits a Type I error? Round your response to at least two decimal places.
Suppose that the researcher decides to perform another statistical test using the same population, the same null and alternative hypotheses, and the same sample size, but for this second test the researcher uses a significance level of 0.1 instead of a significance level of 0.05. Assuming that the actual value of µ is 142 mm Hg, how does the power of this second test compare to the power of the original test?

Answer 1