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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 X=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 X 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 and with friends, and inquires about the following two variables X=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 X X2 35 72 10 15

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 X X2 35 72 10 15 80 100 4 55 90 35 55 6. 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 X X2 35 72 10 15 80 100 4 55 90 35 55 6. 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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