Question

^{You draw an i.i.d sample Y1, . . . , Yn from a distribution with mean µ. A test of H0 : µ = 5 vs H1 : µ 6= 5 using the usual t-statistic yields a p-value of 0.03.}

(a) Would you reject H0 or not? Explain.

(b) Does the 95% confidence interval (CI) contain µ = 5? Explain. (Hint: Maybe it helps to think about the process of constructing the CI.)

(c) Can you determine if µ = 6 is contained in the 95% CI? Explain.

Answer 1