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blood pressure, H. of CEOs of major corporations is less than 132 mm Hg, which is the value reported in a possibly outdated journal article.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 50 CEOs of major corporations. Suppose that the population of systolic blood pressures among CEOs of major corporations has a standard deviation of 16 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? Mis 7 What is the probability that the researcher commitsa Type 1 error? Round your response to at least two decimal places 0 Check Save For Later Submit Assignmel 2020 MEGO Al served Terms of the Y AC

Answer 1

1)

null hypothesis:Ho μ		is greater than or equal to	132
Alternate Hypothesis:Ha μ		is less than	132

2)

type I error =0.05

3)

std deviation σ=		16.00
std error ='σx=σ/√n=16/√50=		2.263

rejection region: Xbar <=μ+Zα*σx or Xbar<= 132-1.64485363*2.263=

128.2781

P(Power) =P(Xbar<128.2781|μ=127)=P(Z>(128.2781-127)/2.263)=P(Z<0.56)=

0.7123

4)

The probability of committing a Type II error in the second test is less