just part b please

Es One personality test available on the World Wide Web has a subsection designed to assess the "honesty" of the test-taker. You are interested in the mean score u among the general population on this subsection. The website reports that u is 140, but you have good reason to believe that u is greater than 140. To do a statistical test, you choose a random sample of 150 people and have them take the personality test. Suppose that the population of scores on the subsection of the personality test has a standard deviation of 20 and that you perform your hypothesis test using the 0.10 level of significance. Based on this information, answer the questions below. Carry your intermediate computations to four or more decimal places, and round your responses as indicated. (If necessary, consult a list of formulas.) (a) What are the null hypothesis Ho and the alternative hypothesis H, that you should O P use for the test? H: H = 140 X S p H: H > 140 (b) Assuming that the actual value of u is 143, what is the probability that you reject 0=0 030 020 the null hypothesis? Round your response to two or more decimal places. 0+0 00 (c) What is the probability that you reject the null hypothesis when, in fact, it is true? X Round your response to two or more decimal places. 0.10 (d) Suppose that you decide to perform another statistical test using the same