Question

A journalist reported that the average amount of time that a French person spends eating lunch at a restaurant is 22 minutes. Perform a hypothesis test to determine if a difference exists between the average time an American spends eating lunch when compared to a person from France. The following data represents the​ time, in​ minutes, that random French and American diners spent at lunch. Assume that the population variances are equal. Assume Population 1 is defined as French diners and Population 2 is defined as American diners. What is the test statistic for this hypothesis​ test?

American	21	17	17	20	25	16	20	16
French	24	18	20	28	18	29	17

A.

tx =2.34

B.

tx=−2.20

C.

tx=1.63

D.

tx=1.42

Answer 1

	American ( X )		French ( Y )
	21	4	24	4
	17	4	18	16
	17	4	20	4
	20	1	28	36
	25	36	18	16
	16	9	29	49
	20	1	17	25
	16	9
Total	152	68	154	150

Mean

Standard deviation

Sample variance = 9.7143

Mean

Standard deviation

Sample variance = 25

Test Statistic :-


t = 1.4155

Option D.  tx=1.42 is correct.