An experimenter is interested in the hypothesis testing problem H0 : = 20.0 versus HA : = 20.0 where 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 = 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 = 0.10? (b) For what values of the z-statistic does the experimenter reject the null hypothesis with a size = 0.01? Suppose that the sample mean is x = 19.50. (a) Is the null hypothesis accepted or rejected