Suppose the mean IQ score of people in a certain country is 103. Suppose the director of a college obtains a simple random sample of 39 students from that country and finds the mean IQ is 106.3 with a standard deviation of 13.9. Complete parts (a) through (d) below.(a) Consider the hypotheses Ho: p = 103 versus H, : p > 103. Explain what the director is testing. Perform the test at the a = 0.01 level of significance.Find the test statistic for this hypothesis test. Round to two decimal places as needed