Calculate the parameters of your individual assessment: Iv) Let A! = the sum of digits of your AUM student ID number and A2 = .41 10. For example, if your student ID is 34351, then AI = (3+4+3+5+l}=l 6 and A2 = 16IIO=1.6. Find your AI and A2. Question 1 40 Mints}: The prices of a number of randomly selected greengrocery items were compared in two outlets, DeDe's and Cam's. The paired data below show the price in cent, for each item, in each. outlet. Item Dede Can 1 29' 35 2 43 51 3 40 33 4 l7 l3 5 27 26 6 13 AI 7 45 51 3 53 47 9 55 61 10 13 19' ll 31 23 Do these data establish at the 5% level that the Carl's outlet is more expensive? at State appropriate null and alternative hypotheses. (5 points] b} What is the test statistic for the test? (5 points) cl What is the critical value using the 5% significance level? [5 points) :1} What is the p-value of the test? (5 points) a) Draw your conclusion. (5 points) 1) Explain how you could answer the question by calculating an appropriate confidence interval I bound. Show your calculations and write an interpretation. (7 points) g} Perform the test by Minitab. Copy your output and write an interpretation. (a points) Participants attended the seventh examination of the O'spring in the Framingham Heart Study. A random sample of A I male patients yields a mean diastolic blood pressure of 74.3 and a standard deviation of 9.3. 13 female patients yield mean diastolic blood pressure of 72.3 and a standard deviation of 9.6. The previous results show that the pressures can be assumed to be normal with the same population standard deviation regardless of the gender. We wish to assess whether mean diastolic blood pressure of female patients is signicantly different than male patients' mean. It) Find a 90% confidence interval on the difference in means of males and females. State your comment. {15 points) b) Based on your result (part (11)), do you think that the means of two groups are signicantly different? Why? Discuss. (15 points) Question 3 130 points!: Reeords of 14 used passenger cars and 13 used pickup trucks were randomly selected to investigate whether there was any difference in the mean time in years that they were kept by the origins} owner before being sold. For passenger cars the mean was 5.3 years with standard deviation A2 years. For pickup trucks the mean was 7.1 years with standard deviation 3.0 years. Assume that populations are normally distributed with not equal variances. a) Formulate the nut] and alternative hypotheses. (6 points) It) Write the steps needed in Minitab to run the test. (6 points) c) Run the test in Minitab and copy the output (all tables) here. Use 1% significance level. {6 points) It) What is the P-value for this test (Use Minitab output]. Write your conclusion about the test using p-vaiue. (6 points) c) How the question (c) can be answered by constructing the appropriate Confidence hiterval (Use Minitab output}? Explain how this interval eonf'ums your nding using Pvaiue. (6 points)