Question

A management consultant found that the amount of time per day spent by executives performing tasks that could equally well be done by subordinates followed a normal distribution with mean µ=144 minutes and standard deviation of σ=60 minutes. Test the population mean at 2% significance level if the sample average is 166.5 minutes for a randomly selected 16 executives.

a) Null hypothesis is AnswerHo: µ>144Ho: µ<144Ho: µ≥144Ho: µ≤144

b) Alternative Hypothesis is AnswerHA: µ<144HA: µ>144HA: µ≥144HA: µ≤144

c) Test statistic is Answer

d) Critical Value of the test at α=1% is Answer

e) Does it appear at α=5% that population mean is more than 144 minutes? AnswerMay beYesNo

f) For what values of α H₀ can be rejected? Answer%

g) For what values of Xbar H₀ can be rejected? Answer

h) Find type II error of the test if µ=180 minutes. Answer%

Answer 1