The mean weight of the adults in a certain region is believed to be (mean= 160lb). An agency thinks that this mean may be higher than the above belief. They are going to take a simple random sample of 100 adults for a hypothesis test at 5% level of significance. a). State the null and the alternate hypothesis for this test. b). If the mean weight of the adults in the above simple random sample is (sample mean = 173. 53lb) and we know that the population standard deviation is (35lb), compute the test statistic and the P_value of the test. Will you reject or not reject the null hypothesis at 5% level of significance?