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.
On the verge 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:
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45
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38
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37
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40
|
44
|
38
|
46
|
37
|
42
|
43
|
Analyse the sample mean and sample standard deviation.
Estimate and interpret the p-value of the calculated test statistic
If the same sample results had been obtained from a random sample of 16 students, could the students' claim be accepted at a lower level of significance?
While dealing with 16 students, suppose that the alternative hypothesis has been one-sided and that it was set as Ha: m < 39. create a graph to visualize the problem and state, without doing the calculations, whether p-value of the test (the level of significance needed to reject the null hypothesis) would be higher than, lower than, or the same.