A local brewery distributes beer in bottles labeled 12 ounce…

A local brewery distributes beer in bottles labeled 12 ounces. A government agency thinks that the brewery is cheating its customers.  The agency selects 20 of these bottles, measures their contents, and obtains a mean of 11.7 ounces with a standard deviation of 0.7 ounce.  Use a 0.01 significance level to test the agency’s claim that the brewery is cheating its customers.  Assume that the quantity (oz) of all such bottles is normally distributed.  Use either the critical value method or the P-value method.

A local school district claims that the number of school day…

A local school district claims that the number of school days missed by its teachers due to illness is below the national average of 5. A random sample of 40 teachers provided the data below.  At the 5% level of significance, test the district’s claim using P-value.       0  3  6  3  3  5  4  1  3  5        7  3  1  2  3  3  2  4  1  6       2  5  2  8  3  1  2  5  4  1       1  1  2  1  5  7  5  4  9  3