Question

Please show all work.

The Newport Bottling Company had been producing cans of cola with amounts that are normally distributed and that have a standard deviation of 0.051 oz.   A new bottling machine is tested, and a simple random sample of 24 cans results in the amounts (in ounces) shown below:

     11.98   11.98    11.99    11.98   11.90   12.02     11.99    11.93
     12.02   12.02    12.02    11.98    12.01    12.00     11.99    11.95
     11.95    11.96    11.96    12.02    11.99    12.07     12.07    12.05

Use this sample data and a .05 significance level to test the claim that cans of cola from the new machine have amounts with a standard deviation that is less than .051 oz.

Answer 1