To test H 0: μ = 105 versus H 1: μ ≠ 105, a simple random sample of size n = 35 is obtained. (a) Does the population have to be normally distributed to test this hypothesis by using the methods...

To testH0: μ = 105 versusH1: μ ≠ 105, a simple random sample of sizen= 35 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) Ifx= 101.9 ands= 5.9, compute the test statistic.

(c) Draw at-distribution with the area that represents theP-value shaded.

(d) Approximate and interpret theP-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?