Question 1 (Essay Worth 10 points) [Q3 (0102, 0103 LC) When 25 employees were first hired in 2011 for a pharmaceutical company, Company A, the starting annual salary was $38,000. Acompeting pharmaceutical company, Company B, had the same starting salary for 25 employees hired the same year. In 2016, data was collected on the annual salaries of these same employees at each company. This data is displayed in the boxplots shown: I CompanyA I Company B 80,000 70,000 0 60,000 50,000 40,000 . 30,000 Annual Salary (US Dollars) 20,000 10,000 Part A: Compare the annual salary distributions. (4 points). Part B: What are the pros and cons of working at each company? Explain using what you found in Part A. (6 points). Question 2 (Essay Worth 10 points) (02.01 MC) The cost and customer rating of 15 cars is shown on the scatterplot. The cars are rated on a scale ofO to 100. 120 100 . so 60 Rating 40 O 20 0 2,000 2,500 3,000 3,500 4,000 4.500 5,000 Car Price, US Dollars Part A: Describe the association shown in the scatterplot. (4 points). Part B: Give an example of a data point that affects the appropriateness of using a linear regression model to fit all the data. Explain. (4 points) Part C: Give an example of a car that is cost effective and rated highly by customers. (2 points) Question 3 (Essay Worth 10 points) (03.02, 03.04 HC) Parrots can develop cognitive issues as they get older. This may compromise their memory, ability to learn, awareness, sight, and hearing. A researcher wishes to conduct a study to find which of two medicines, Medicine Aor Medicine B, is more effective in improving cognitive health. Atotal of 150 parrots that are at least 12 years old will be randomly selected from sanctuaries around the United States. The researcher will get consentfrom all owners, treat the parrots for 1 year, and evaluate changes in cognitive health. Part A: How would the study benefit from adding a control group? (2 points) Part B: What is the best way to randomly place the parrots into the Medicine A, Medicine B, and control groups? (4 points) Part C: The researcher wants to use a blocking variable to place the parrots into groups instead of doing it randomly. He decides to block either by breed or sanctuary. Explain which would be the best blocking method. (4 points) Question 4 (Essay Worth 10 points) lg (04.01 LC) Scarlett is practicing math fluency. She has 100 math operation flashcards with 42 addition problem cards, 56 subtraction cards, and 2 multiplication cards. Scarlett will time herself to see how fast she can solve the problems on seven cards. She chooses her seven cards and they are all addition cards. ls choosing all addition cards likely? Explain by running a simulation. Part A: State the problem or question and assumptions. (2 points) Part B: Describe the process for one repetition, including possible outcomes, assigned representations, and measured variables. (3 points) Part C: Use digits from a table of random digits or use your calculator to perform one repetition. Submit the list of random digits and indicate those that represent addition cards. (3 points) Part D: Suppose there was one repetition when all seven cards were addition cards after 200 repetitions ofthe simulation. State your conclusions from these results. (2 points) Question 5 (Essay Worth 40 points) if:1 (04.04, 04.05 MC) To increase sales, an online clothing store began giving a 50% off coupon to random customers. Customers didn't know whether they would receive the coupon until after the final sale. The website claimed that one in five customers received the coupon. Six customers each made purchases from the website. Let X = the number of customers that received the 50% off coupon. Part A: Is X a binomial random variable? Explain. (3 points) Part B: What is the mean and standard deviation of X? Provide an interpretation for each value in context. (4 points) Part C: Two of the six customers receive the coupon with their purchase. Is the store's claim accurate? Compute P(X 2 2) and use the result to justify your answer. (3 points)