A local juice manufacturer distributes juice in bottles labeled 12 ounces. A government agency thinks that the company is cheating its customers. The agency selects 20 of these bottles, measures their contents, and obtains a sample 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 company is cheating its customers.

a) State the null and alternative hypotheses.

b) Verify conditions have been met by stating them and using the context of the question stem to verify.

c) Calculate the test statistic and P-value.Round values to the nearest ten-thousandth.

d) Make a conclusion in context based on your P value.