In a popular shopping mall, two discount stores have their stock laid out differently. Both stores claim that the arrangement of goods in their store makes customers buy more on impulse. A survey of 100 customers from each store is taken. Each customer is asked how much money they spent on items they did not originally intend to buy before coming into the store. The results are as follows: Discount store 1: ?̅ = R15.50 and ? = R3.20 Discount store 2: ?̅ = R19.40 and ? = R4.80 a) Find a 90% confidence interval for the difference in the mean amount of cash spent per customer on impulse buying for the two different stores.  b) Is there a significant difference in the two population means, considering the confidence interval found in a)? Explain your answer

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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In a popular shopping mall, two discount stores have their stock laid out differently. Both stores claim that the
arrangement of goods in their store makes customers buy more on impulse. A survey of 100 customers from each
store is taken. Each customer is asked how much money they spent on items they did not originally intend to buy
before coming into the store. The results are as follows:
Discount store 1: ?̅ = R15.50 and ? = R3.20
Discount store 2: ?̅ = R19.40 and ? = R4.80
a) Find a 90% confidence interval for the difference in the mean amount of cash spent per customer on impulse
buying for the two different stores. 
b) Is there a significant difference in the two population means, considering the confidence interval found in a)?
Explain your answer. 

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