SCENARIO 13-9
It is believed 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 for predicting starting salary (Y) using number of hours spent studying per day (X) for a sample of 51 students. NOTE: Only partial output is shown.

Note: 2.051 E - 05 = 2.051*1 0-5 and 5.944 E -18 = 5.944 *10 -18 .
-Referring to Scenario 13-8,what are the decision and conclusion on testing whether there is any linear relationship at 1% level of significance between GPA and ACT scores?
A)Do not reject the null hypothesis;hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
B)Reject the null hypothesis;hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
C)Do not reject the null hypothesis;hence there is sufficient evidence to show that ACT scores and GPA are linearly related.
D)Reject the null hypothesis;hence there is sufficient evidence to show that ACT scores and GPA are linearly related.

Question

SCENARIO 13-9
It is believed 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 for predicting starting salary (Y) using number of hours spent studying per day (X) for a sample of 51 students. NOTE: Only partial output is shown.

Note: 2.051 E - 05 = 2.051*1 0-5 and 5.944 E -18 = 5.944 *10 -18 .
-Referring to Scenario 13-8,what are the decision and conclusion on testing whether there is any linear relationship at 1% level of significance between GPA and ACT scores?
A)Do not reject the null hypothesis;hence there is insufficient evidence to show that ACT scores and GPA are linearly related. 
B)Reject the null hypothesis;hence there is insufficient evidence to show that ACT scores and GPA are linearly related. 
C)Do not reject the null hypothesis;hence there is sufficient evidence to show that ACT scores and GPA are linearly related. 
D)Reject the null hypothesis;hence there is sufficient evidence to show that ACT scores and GPA are linearly related.

Quizplus · Accepted Answer

The p-value of the test is 0.1883 which is greater than the 0.01 level of significance. Therefore, we fail to reject the null hypothesis and conclude that there is insufficient evidence to show that there is a linear relationship between GPA and ACT scores.

SCENARIO 13-9 It Is Believed That, the Average Numbers of Hours Spent