A statistics teacher asked two different students, Lexie and Jennifer, to go to Wegmans and sample 30 shoppers each.  The population of interest for both people can be defined as, “People who shop at the Johnson City, NY Wegmans store”.  Here is what each person did to collect their sample:                    Lexie: She stood outside at the entrance to the store on 3 different days and times and surveyed every 15th person to walk by her.  She surveyed 10 people each time to get her 30.   Jennifer:  She went to Wegmans after her nursing shift first thing Wednesday morning to buy deodorant since she ran out.  When she was in the pharmacy area she surveyed all the people around her and then, to get up to 30 surveys, she went to the health food section and surveyed everyone she was there.     Identify at least 2 specific reasons why Lexie’s approach is more likely to give a representative sample.  Consider sources of bias, or types of shoppers who might be excluded by Jennifer’s approach.  If you have time, add a third specific reason to receive a bonus point

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A statistics teacher asked two different students, Lexie and Jennifer, to go to Wegmans and sample 30 shoppers each.  The population of interest for both people can be defined as, “People who shop at the Johnson City, NY Wegmans store”.  Here is what each person did to collect their sample:           

 

 

 

 

Lexie: She stood outside at the entrance to the store on 3 different days and times and surveyed every 15th person to walk by her.  She surveyed 10 people each time to get her 30.

 

Jennifer:  She went to Wegmans after her nursing shift first thing Wednesday morning to buy deodorant since she ran out.  When she was in the pharmacy area she surveyed all the people around her and then, to get up to 30 surveys, she went to the health food section and surveyed everyone she was there.

 

 

Identify at least 2 specific reasons why Lexie’s approach is more likely to give a representative sample.  Consider sources of bias, or types of shoppers who might be excluded by Jennifer’s approach.  If you have time, add a third specific reason to receive a bonus point.

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