The number of semester hours of college credit taken by candidates has a distribution with a mean of 141 hours and a standard deviation of 18 hours. Consider a random sample of 100 first-time candidates for the CPA exam and let f represent the mean number of hours of college credit taken for the sample. a. Calculate Hy b. Calculate ơi. c. Describe the shape of the sampling distribution of X. d. Calculate the z-score for the value 142 hours e. Calculate P(X > 142). 3. Calculate za/2 for each of the following. Illustrate your answers with graphs. a. α 0.10 b, α= 0.01 c. a-0.05