To find out sample mean and sample standard deviation for the given set of data. Formulation of null and alternate hypothesis to test the claim regarding the instructor's recommendation that students devote 3 hours per week for the duration of the 13week semester, for a total of 39 hours.
On the brink of the course of Statistical Methods I, the instructor recommended that students devote 3 hours per week for the duration of the 13week semester, for a total of 39 hours. It is known that the times spent on studying statistics follow a normal distribution. Throughout the course's duration, students were claiming that they were following the instructor's recommendation. At the course's completion, a random sample of 10 students enrolled in the course was drawn where each student was asked how many hours he or she spent doing homework in statistics. The data are listed below:
45

38

37

40

44

38

46

37

42

43

Using the original data approximation the population standard deviation with 90% probability.