An experimenter is interested in the hypothesis testing problem H0: = 20.0 versus HA:

An experimenter is interested in the hypothesis testing problem
H0: μ = 20.0 versus HA: μ ≠ 20.0
where p is the average resilient modulus of a clay mixture. Suppose that a sample of n = 10 resilient modulus measurements is obtained and that the experimenter wishes to use a value of σ = 1.0 for the resilient modulus standard deviation.
(a) For what values of the z-statistic does the experimenter accept the null hypothesis with a size α = 0.10?
(b) For what values of the .--statistic does the experimenter reject the null hypothesis with a size α = 0.01?
Suppose that the sample mean is x = 19.50.
(c) Is the null hvpothesis accepted or rejected with a = 0.10? With α =0.01?
(d) Calculate the exact p-value.