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 shown below. Assume Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores. Which one of the following statements is​ true?

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​ 95% confidence interval includes​ zero, 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​ 95% confidence interval does include​ zero, 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​ 95% confidence interval includes​ zero, we cannot conclude that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course.

D.

Because the​ 95% confidence interval does not include​ zero, 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 :-  

Confidence interval :-

DF = 13

Lower Limit =
Lower Limit = -4.7217
Upper Limit =
Upper Limit = 14.7217
95% Confidence interval is ( -4.7217 , 14.7217 )

Option  A  is correct.

Because the​ 95% confidence interval includes​ zero, 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.