To test H0: μ = 45 versus H1: μ ≠ 45, a simple random sample of size n = 40 is obtained.
(a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section? Why?
(b) If = 48.3 and s = 8.5, compute the test statistic.
(c) Draw a t-distribution with the area that represents the P-value shaded.
(d) Determine and interpret the P-value.
(e) If the researcher decides to test this hypothesis at the α = 0.01 level of significance, will the researcher reject the null hypothesis? Why?
(f) Construct a 99% confidence interval to test the hypothesis.