To calculate 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 13-week semester, for a total of 39 hours.
At the beginning of 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 times spent on studying statistics follow a normal distribution. All through 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
|
Estimate and interpret the p-value of the calculated test statistic above.
While dealing with 16 students, suppose that the alternative hypothesis has been one-sided and that it was set as Ha: A.A < 39. Create a graph to visualize the problem.
Using the original data, test at the 5 percent significance level that population standard deviation of studying times is greater than 4 hours.