Module 22 - Hypothesis Test for a Population Mean Lab (13 of 19 discussion 1)PromptThe drinks datafile is available in the Data section below.Let μ be the mean number of alcoholic beverages that students in the liberal arts college drink in a typical week. State the hypotheses.Here is a histogram of the data. Can we safely use the t-test with this data? Explain.Perform the t-test using StatCrunch. (directions)Copy and paste the information from the StatCrunch output window into your initial post.Based on the P-value, state your conclusions in context. Use a 5% level of significance.NOTE: You do not need to double the P-value for this two-tailed test. StatCrunch calculates the P-value for you.Using the context of this scenario, explain the meaning of each of following items from the StatCrunch output for the hypothesis test.Std. Err (standard error)T-stat (T-score)P-valueModule 23 - Hypothesis Test for a Difference in Two Population Means (5 of 7 discussion 1)PromptState the null and alternative hypotheses. Include a clear description of the populations and the variable.Explain why we can safely use the two-sample T-test in this case.Use StatCrunch to carry out the test. (directions)Copy and paste the content of in the StatCrunch output window (text and the table) in your initial post. State a conclusion in the context of this problem.

The Cookie Factory wants to sell chocolate chip and peanut butter cookies in combination packages of 6-­12 cookies. At least three of each type of cookie should be in each package. The cost of making a chocolate chip cookie is 19 cents, and the selling price is 44 cents each. The cost of making a peanut butter cookie is 13 cents, and the selling price is 39 cents. How many of each type of cookie should be in each package to maximize the profit?