Question

The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course. A random sample of eight students who took both courses was selected and their final exam grades for each course are attached below below. Assume Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores. Using a=​0.05, determine the conclusion for this hypothesis test.

Please give me the very clear explanation, thank you :)

Student	1	2	3	4	5	6	7	8
Marketing	82	86	74	93	90	76	87	100
Finance	76	91	70	79	96	70	85	81

A.

Because the test statistic is less than the critical​ value, we can conclude that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course.

B.

Because the test statistic is more than the critical​ value, we cannot conclude that a difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course.

C.

Because the test statistic is less than the critical​ value, we cannot conclude that a difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course.

D.

Because the test statistic is more than the critical​ value, we can conclude that a difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course.

Answer 1

	Marketing ( X )		Finance ( Y )
	82	16	76	25
	86	0	91	100
	74	144	70	121
	93	49	79	4
	90	16	96	225
	76	100	70	121
	87	1	85	16
	100	196	81	0
Total	688	522	648	612

Mean

Standard deviation

Sample variance = 74.5714

Mean

Standard deviation

Sample variance = 87.4286

To Test :-

H0 :-  

H1 :-  

Test Statistic :-


t = 1.1111

Test Criteria :-
Reject null hypothesis if


DF = 13

Result :- Fail to Reject Null Hypothesis

Conclusion :- Accept Null Hypothesis

H0 :-  

There is sufficient evidence to support the claim that ]the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course.

A.

Because the test statistic is less than the critical​ value, we can conclude that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course.