Do consumers spend more on a trip to Store A or Store B? Suppose researchers interested in this question collected a systematic sample from 83 Store A customers and 81 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 159.36 df. Test the null hypothesis at α=0.05. Store A Store B n 83 81 y 44 54 s 21 18 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μA−μB≠0 HA: μA−μB=0 B. H0: μA−μB=0 HA: μA−μB≠0 C. H0: μA−μB=0 HA: μA−μB>0 D. H0: μA−μB=0 HA: μA−μB<0 Compute the test statistic. t=nothing (Round to two decimal places as needed.) Find the P-value. The P-value is nothing. (Round to three decimal places as needed.) State the conclusion. Choose the correct answer below. A. Reject the null hypothesis. There is sufficient evidence that the means are not equal. B. Reject the null hypothesis. There is not sufficient evidence that the means are not equal. C. Fail to reject the null hypothesis. There is not sufficient evidence that the means are not equal. D. Fail to reject the null hypothesis. There is sufficient evidence that the means are not equa

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Do consumers spend more on a trip to Store A or Store B? Suppose researchers interested in this question collected a systematic sample from

Store A customers and

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

159.36

df. Test the null hypothesis at

α=0.05.

	Store A	Store B
n	83	81
y	44	54
s	21	18

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

H0:

μA−μB≠0

HA:

μA−μB=0

H0:

μA−μB=0

HA:

μA−μB≠0

H0:

μA−μB=0

HA:

μA−μB>0

H0:

μA−μB=0

HA:

μA−μB<0

Compute the test statistic.

t=nothing

(Round to two decimal places as needed.)

Find the P-value.

The P-value is

nothing.

(Round to three decimal places as needed.)

State the conclusion. Choose the correct answer below.

Reject

the null hypothesis. There

sufficient evidence that the means are not equal.

Reject

the null hypothesis. There

is not

sufficient evidence that the means are not equal.

Fail to reject

the null hypothesis. There

is not

sufficient evidence that the means are not equal.

Fail to reject

the null hypothesis. There

sufficient evidence that the means are not equal.

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