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A sociologist is interested in determining if those shopping at the mall tend to spend more money if they are with friends versus if they are shopping alone. She interviews 8 shoppers who regularly shop at the mall, both alone a with friends, and inquires about the following two variables: X1=amount spent when they last shopped alone and X2 amount spent when they last shopped with their friends. Below is the data she collected: Shopper X1 X2 35 72 10 15

A sociologist is interested in determining if those shopping at the mall tend to spend more money if they are with friends versus if they are shopping alone. She interviews 8 shoppers who regularly shop at the mall, both alone a with friends, and inquires about the following two variables: X1=amount spent when they last shopped alone and X2 amount spent when they last shopped with their friends. Below is the data she collected: Shopper X1 X2 35 72 10 15

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A sociologist is interested in determining if those shopping at the mall tend to spend more money if they are with friends versus if they are shopping alone. She interviews 8 shoppers who regularly shop at the mall, both alone and with friends, and inquires about the following two variables: X1-amount spent when they last shopped alone and X2 amount spent when they last shopped with their friends. Below is the data she collected: Shopper X1 X2 1 35 72 10 15 3 80 100 55 90 35 55 23 58 25 25 138 210 (a) What type of test do we need to conduct and what assumptions are necessary? (b) Assuming our assumptions in (a) are valid, by hand, conduct an appropriate test of significance at 2% level of significance to determine if shoppers spend more money when they are with friends than when they are alone using a rejection region approach.
Transcribed Image Text:A sociologist is interested in determining if those shopping at the mall tend to spend more money if they are with friends versus if they are shopping alone. She interviews 8 shoppers who regularly shop at the mall, both alone and with friends, and inquires about the following two variables: X1-amount spent when they last shopped alone and X2 amount spent when they last shopped with their friends. Below is the data she collected: Shopper X1 X2 1 35 72 10 15 3 80 100 55 90 35 55 23 58 25 25 138 210 (a) What type of test do we need to conduct and what assumptions are necessary? (b) Assuming our assumptions in (a) are valid, by hand, conduct an appropriate test of significance at 2% level of significance to determine if shoppers spend more money when they are with friends than when they are alone using a rejection region approach.
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