The manager of a department store is thinking about establishing a new billing system for the store's credit customers. She determines that the new system will be cost-effective only if the mean monthly account is more than $175. A random sample of 400 monthly accounts is drawn, for which the sample mean is $178. The manager knows that the accounts

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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The manager of a department store is thinking about establishing a new billing system for the store's credit customers. She determines that the new system will be cost-effective only if the mean monthly account is more than $175. A random sample of 400 monthly accounts is drawn, for which the sample mean is $178. The manager knows that the accounts are approximately normally distributed with a standard deviation of $65. Conduct a hypothesis testing using both significance level 

 

1) 10%

5) 5% 

   

We have enough evidence to reject the null for 1) but not 2) 

   

We have enough evidence to reject the null for 2) but not 1) 

   

We have enough evidence to reject the null for both 1) and 2) 

   

We do not have enough evidence to reject the null for both 1) and 2) 

 

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