The diastolic blood pressure, X, of smokers follows a normal distribution with mean µ ...

The diastolic blood pressure, X, of smokers follows a normal distribution with mean µ and standard deviation  = 15, i.e. X ∼ N(µ, = 15). The diastolic blood pressure of 3randomly selected smokers was: 125 140 125

(a) Find a 95% CI for the population mean diastolic blood pressure µ.

(b) Test H0 ∶ µ = 140 vs. Ha ∶ µ ≠ 140 at the α = 0.05 significance level. Find the test statistic and critical value, plot the rejection region, and state your decision and final  conclusion.

(c) Find the p−value for the test in 7.3(b).

(d) Based upon your answer in 7.3(c), does the population mean diastolic blood pressure µ significantly differ from 140? Why?

(e) Based upon your answer in 7.3(a), does the population mean diastolic blood pressure µ significantly differ from 100? Why?