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. Using

alphaαequals=​0.10,

which one of the following statements is​ true?

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

A.

Because the​ p-value is greater than

alphaα​,

we cannot conclude that the average time an American spends at lunch is different from the average time that French diners spend at lunch.

B.

Because the​ p-value is less than

alphaα​,

we cannot conclude that the average time an American spends at lunch is different from the average time that French diners spend at lunch.

C.

Because the​ p-value is less than

alphaα​,

we can conclude that the average time an American spends at lunch is different from the average time that French diners spend at lunch.

D.

Because the​ p-value is greater than

alphaα​,

we can conclude that the average time an American spends at lunch is equal to the average time that French diners spend at lunch.

Answer 1

Solution

for equal variance assumption and given data

p value = 0.1804

A.

Because the​ p-value is greater than alp​ha, we cannot conclude that the average time an American spends at lunch is different from the average time that French diners spend at lunch.