At the beginning of the course of Statistical Methods I, the instructor recommended that students devote 3 hours per week for the duration of the 13-week semester, for a total of 39 hours. It is known that the time spent on studying statistics follow a normal distribution. Throughout the course duration, students were claiming that they were following the instructor's recommendation. At the course 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, test at the 5% significance level that the population standard deviation of studying times is greater than 4 hours.