[3](8) A manufacturer of chocolate candies uses machines to package candies as they move along a filing line. Although the packages are labeled as 8 ounces, the company wants the packages to contain 8.17 ounces to that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.159 ounces, with a sample standard deviation of 0.051 ounce. Must the packaging process stop? The facility manager wishes to test if the mean amount of the population is different from 8.17 ounces using a 0.05 level of significance. a) What does the population mean (u) represent in this situation? b) What is the null hypothesis (Ho) in this situation? c) What is the alternative hypothesis (Hi) in this situation? d) Is this test a left-, right-, or two-tailed test? e) Determine the critical value(s) based on your responses in (b) and (c). f) Calculate the value of the test statistic. g) Make the statistical decision and state the managerial conclusion using the p-value approach. h) What does the p-value mean in this situation