A local juice manufacturer distributes juice in bottles labeled 32 ounces. A government agency thinks that the company is cheating its customers. The agency selects 25 of these bottles, measures their...

A local juice manufacturer distributes juice in bottles labeled 32 ounces. A government agency thinks that the company is cheating its customers. The agency selects 25 of these bottles, measures their contents, and obtains a sample mean of 31.7 ounces with a standard deviation of 0.70 ounce. Use a 1% significance level to test the agency's claim that the company is cheating its customers.


The appropriate null hypothesis for this situation is:

The appropriate alternative hypothesis for this situation is:

The value of the statistic for this test is =   (round answers to three places after the decimal.)


and the p-value is   (round answers to three places after the decimal.)

There  ____  enough statistical evidence, at the 1% level, that the company is cheating its customers.