A chain retailer has target service levels that each location is expected to deliver. The target  established for customer wait times at checkout is 210 seconds or less. The retailer opened a new  location, called Store #140. An analyst was tasked with testing wait times at the new store. Any store  found in violation of the 210-seconds-or-less standard must take action to reduce waiting times. The analyst took a random sample of 34 customers at Store #140 and measured the time they had to  wait to check out. In the sample of customers, the mean waiting time was 245 seconds. Drawing on past  experience with check out times at this retailer, the analyst assumed a population standard deviation of  86 seconds.  Perform and interpret a hypothesis test to determine whether the population mean waiting time at the  Store #140 is longer than 210 seconds at the ?? = 0.05 significance level. Is there evidence here that  Store #140 needs to take action to reduce waiting times?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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1. A chain retailer has target service levels that each location is expected to deliver. The target 
established for customer wait times at checkout is 210 seconds or less. The retailer opened a new 
location, called Store #140. An analyst was tasked with testing wait times at the new store. Any store 
found in violation of the 210-seconds-or-less standard must take action to reduce waiting times.
The analyst took a random sample of 34 customers at Store #140 and measured the time they had to 
wait to check out. In the sample of customers, the mean waiting time was 245 seconds. Drawing on past 
experience with check out times at this retailer, the analyst assumed a population standard deviation of 
86 seconds. 
Perform and interpret a hypothesis test to determine whether the population mean waiting time at the 
Store #140 is longer than 210 seconds at the ?? = 0.05 significance level. Is there evidence here that 
Store #140 needs to take action to reduce waiting times? 

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