Suppose a company sells bacon in packages that they claim average a weight of 14 ounces. Timothy believes that the actual average weight of the packages is different than what the company claims, and would like to test this using a significance level of 0.05. He takes a random sample of 51 packages and gets a sample mean of 14.42 ounces and a sample standard deviation of 1.08 ounces.
(a) What are the null and alternative hypotheses?
(b) What is the test statistic? (Round your answer to 3 decimal places, if needed.)
(c) Using the statistical table, the p-value is
(d) Based on the p-value, Timothy should reject the null hypothesis.
(e) This data provides sufficient evidence to conclude that the actual average weight of the packages is less than what the company claims.
Check