Question

Mooncents Coffee Shop has just opened, and on the first 6 days of business, the number...

Mooncents Coffee Shop has just opened, and on the first 6 days of business, the number of customers who have come into the store during a particular time period are as reported in the following table.

  

Day # Customers
  1 25            
  2 22            
  3 23            
  4 28            
  5 29            
  6 26            

  

a.

Calculate the average number of customers visiting and the sample standard deviation of customer visits for Mooncents Coffee. (Round intermediate calculations to 4 decimal places and "Sample mean" and "Sample standard deviation" to 2 decimal places.)

  

  
  Sample mean   
  Sample standard deviation   

  

b.

The manager asks, "How many customers do you think will come in tomorrow during the same time period?" You want to be 99% confident in the estimate, so what is the confidence interval for the number of customers who will come in, assuming that the visits are normally distributed. (Round your final answers to 2 decimal places.)

  

  Confidence interval Low: to High:    

  

c.

What happens to the margin of error if a higher confidence level is used for the confidence interval estimate?

  • The margin of error decreases as the confidence level increases.

  • The margin of error increases as the confidence level increases.

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