Need help calculating the margin of error for the question below. I show n=100, sigma  = 1, and 95% prob equls a z score of 1.96 for z_alpha/2. Just having issues calcuating the Margin of Error value. The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3 minutes. It is known that the standard deviation of the population of checkout times is 1 minute. With a 0.95 probability, the sample mean will provide a margin of error of 0.196. If we wanted to cut this margin of error in half, how many customers would we need to include in our sample?

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Need help calculating the margin of error for the question below.

I show n=100, sigma  = 1, and 95% prob equls a z score of 1.96 for z_alpha/2. Just having issues calcuating the Margin of Error value.

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3 minutes. It is known that the standard deviation of the population of checkout times is 1 minute. With a 0.95 probability, the sample mean will provide a margin of error of 0.196. If we wanted to cut this margin of error in half, how many customers would we need to include in our sample?

 

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