Do consumers spend more on a trip to Store A or StoreB? Suppose researchers interested in this question collected a systematic sample from 85 Store A customers and 84 Store B customers by asking customers for their purchase amount as they left the stores. The data collected is summarized by the accompanying table. Suppose researchers decide to test the hypothesis that the means are equal. The degrees of freedom formula gives 163.74 df. Test the null hypothesis at =0.05.

StoreA

StoreB

n

85

84

y

44

52

s

21

18

Identify the null and alternative hypotheses. Choose the correct answer below.

A.

H0: AB=0

HA: AB<0

B.

H0: AB=0

HA: AB0

C.

H0: AB=0

HA: AB>0

D.

H0: AB0

HA: AB=0

Compute the test statistic.

t=

nothing

(Round to two decimal places asneeded.)

Find theP-value.

TheP-value is

nothing

.

(Round to three decimal places asneeded.)

State the conclusion. Choose the correct answer below.

A.

Reject the null hypothesis. There is sufficient evidence that the means are not equal.

B.

Failtoreject the null hypothesis. There isnot sufficient evidence that the means are not equal.

C.

Failtoreject the null hypothesis. There is sufficient evidence that the means are not equal.

D.

Reject the null hypothesis. There isnot sufficient evidence that the means are not equal.