Question 60057: Please provide me with explanation so I could solve the rest of the problems on my own. Thank you very much.
The Marshall Bottling Co. distributes orange soda in bottles labeled 32 ounces. The Bureau of Weights and Measures randomly selects 50 of these bottles, measures their contents and obtains a sample mean of 31.80 oz with a standard deviation of 0.75 ounces (assume populaton values for mean and standard deviation). Using a 0.01 significance levell, test the Bureau's claim that the company is cheating costumers. Would you use z or t score? What is the critical value? Will you "reject" or "fail to reject"?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The Marshall Bottling Co. distributes orange soda in bottles labeled 32 ounces. The Bureau of Weights and Measures randomly selects 50 of these bottles, measures their contents and obtains a sample mean of 31.80 oz with a standard deviation of 0.75 ounces (assume population values for mean and standard deviation). Using a 0.01 significance levell, test the Bureau's claim that the company is cheating costumers. Would you use z or t score? What is the critical value? Will you "reject" or "fail to reject"?
----------------
Use z scores because sample size is greater than 30.
---------------
C.V. = z = (31.80-32)/(0.75/sqrt(50)) = -1.885618...
---------
Test Statistic is -2.5758...
------------
Fail to Reject the null hypothesis which is mu=32
-----------
Cheers,
Stan H.
|
|
|
