Someone claims that the mean number of sick days that employeesin New Jersey take per year is 5.3. To look into that claim, youtake a representative sample of 78 employees in New Jersey and findthat the mean number of sick days is 5.5 in the sample. Thepopulation standard deviation is 1.6.
Part (a) Â Â
Given that the sample mean is different from the claimedpopulation mean, does that show that the claim in H0 isfalse? Explain your answer.
Part (b)
Carry out a hypothesis test for the claim above (with α = 0.05)using the 6-step procedure.
Part (c) Â Â
Carry out a hypothesis test for the claim above (with α = 0.05)using the p-value method.
