Consider H0: ,u = 28 versus H1: u :t 28. A random sample of 25 observations taken from this population produced a sample mean of 24.71. The population is normally distributed with a = 7. (a) Compute a}. Round the answer to four decimal places. = n (b) Compute 2 value. Round the answer to two decimal places. (c) Find area to the left of zvalue on the standard normal distribution. Round the answer to four decimal places. The area = I (d) Find p-value. Round the answer to fou r decimal places. p-value = a -r- .I I III p In a hypothesis test with hypotheses Ho : M 45, a random sample of 68 elements selected from the population produced a mean of 47.0. Assume that o = 6.6, and that the test is to be made at the 2.5% significance level. What is the critical value of z? O -1.65 O 1.96 O 1.65 O -1.96 What is the value of the test statistic, z, rounded to three decimal places? What is the p-value for this hypothesis test, rounded to four decimal places? Should you reject or fail to reject the null hypothesis in this test?In a hypothesis test with hypotheses H01\" = 24 and H1 2;; 76 24, a random sample of 39 elements selected from the population produced a mean of 23.7. Assume that 0' = 4.9, and that the test is to be made at the 5% signicance level. What are the critical values of 2? O -1.96 and 1.96 O -2.07 and 2.07 O -2.17 and 2.17 O -1.645 and 1.645 What is the value of the test statistic, z, rounded to three decimal places? What is the p-value for this hypothesis test, rounded to four decimal places? In a hypothesis test with hypotheses Ho : M 2 80 and H1 : M