Principle 1: A value not in the confidence interval can be rejected as a possible value of the population parameter. A value in the confidence interval is an "acceptable" possibility for the value of a population parameter.

1.A Government Audit.A local brewery distributes beer in bottles labeled 24 ounces. A government agency thinks that the brewery is cheating its customers. The agency selects 50 of these bottles, measures their contents, and obtains a sample mean of 23.7 ounces and sample standard deviation of 0.9 ounces.. Test the claim by the government agency that the population mean is less than 24 ounces at the 0.03 level of significance.

a.State the appropriate null and alternative hypotheses.Explain how you decided the alternative.

b.Give the t statistic and its p-value for this test.

c.State your conclusion in context.

d.If the test gives strong evidence against the null hypothesis, would you conclude that all bottles the distributed by local brewery have less than 24 ounces?Explain.

e.Give the 90% confidence interval for the mean number of ounces of all bottles distributed by this brewery. Explain how this supports your hypothesis test conclusion.(Use Principal 1)