To test H 0 : = 105 versus H 1 : 105, a simple

To test H₀: μ = 105 versus H₁: 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 presented in this section? Why?
(b) If x̄ = 101.9 and s = 5.9, compute the test statistic.
(c) Draw a t-distribution with the area that represents the P-value shaded.
(d) Approximate 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?