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##### Suppose that you are the manager

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**Question**

Suppose that you are the manager of a restaurant for a fast-food franchise. Last month, the;mean waiting time at the drive-through window was 3.70 minutes. After you follow the franchise?s;instruction to reduce the customers? waiting time, you want to see if it is actually improved. To do;so, you select a random sample of 50 orders. The sample mean of waiting time is 3.75 minutes, with;a standard deviation of 0.8 minutes.;(1) Find a test statistics.;(2) At the 10% level of significance, is there evidence that the franchise?s instruction helps you reduce;the customers? waiting time?;Question 3;A manufacturer of baseballs need to produce the balls with accurate diameter to meet its official;size provided by the Major League Baseball. Therefore, it needs a small number in the variance of the;diameters of balls, and a engineer claim that its variance is exactly.010 inches. You select 20 balls;from the factory, and found that the variance is.012 inches.;(1) Find a test statistics.;(2) At the 5% level of significance, is the claim correct?;Question 4;A manufacturer of chocolate candies uses machines to package candies. Although the packages are;labeled as 8 ounces, the company wants the packages to contain 8.17 ounces so that virtually none of;the packages contains less than 8 ounces. A sample of 15 packages are selected to see if the package;contains exactly 8.17 ounces on average. Suppose that such sample has a mean of 8.10 ounces, with;a standard deviation of 0.10 ounces.;(1) Find a test statistics.;(2) At the 1% level of significance, is there evidence that the population mean is exactly 8.17 ounces?

Paper#27373 | Written in 18-Jul-2015

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