For question (a): 1) Write the probability statement 2) Draw and label a sketch of the distribution, indicating what it is that you are looking for, etc. 3) Show all work 4) Round to 4 decimal places, and circle your answer Then, answer question (b). Jim is the Director of quality Assurance for Oberweis. It is his job to make sure the machine that

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For question (a):

1) Write the probability statement

2) Draw and label a sketch of the distribution, indicating what it is that you are looking for, etc.

3) Show all work

4) Round to 4 decimal places, and circle your answer

Then, answer question (b).

Jim is the Director of quality Assurance for Oberweis. It is his job to make sure the machine that fills the pint bottles of milk for distribution in vending machines is working properly. The machine is regulated so that the amount of milk dispensed has a mean of 16 ounces and a standard deviation of 0.11 ounces. Jim selects 40 bottles of milk and carefully measures the contents. By his calculations, the sample mean of the bottles is 15.9 ounces,

(a) What is the probability that a randomly selected sample of 40 milk bottles will contain an average of 15.9 ounces of milk or less?

(b) What should Jim conclude about the machine? is it working properly?

 

 

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