40d.nst Stats Final it is beleved that the average numbers of hours spent studyi

Question

40d.nst Stats Final it is beleved that the average numbers of hours spent studying per day (HOURS) during undergraduate education should have a positive linear relationship with the starting salary (SALARY measured in thousands of dollars per month) after graduation. Given below is the Excel output from regressing starting salary on number of hours spent studying per day for a sample of 51 students NOTE: some of the numbers in the output are purposely erased Adp.ded R square Standard ErrO 13704 Resichial 1 89400.40184 7134 2051E-05 Referring to Table 12-9, to test the claim that average SALARY depends positively on HOURS against the null hypothesis that average SALARY does not depend linearly on HOURS·thep-value of the test statistic is (5.944E-18/2 (2051E-O512 0 5944E-18 2.051E-05

Explanation / Answer

The given table for coefficient p-value gives the p-value for for a two tailed test for the slope but as we are trying here to test the claim whether the average SALARY depends positively on HOURS, therefore the p-value here would be computed as half of the p-value. Therefore the p-value for this one tailed test would be half to the p-value of the two tailed test given in the table. Therefore the required p-value here is:

= (5.944E -18)/2

Therefore A is the correct answer here.

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