I) What is the probability that the first die will have a number divisible by 3 as the outcome? (10 points)

• a. 1/5
• b. 1/2
• c. 1/36
• d. 1/3
• e. None of the above

II) What is the probability that the second die will have "an even number" as the outcome? (10 points)

• a. 1/5
• b. 1/2
• c. 1/36
• d. 1/6
• e. None of the above

III) What is the probability that the sum of the two dice is divisible by 5? (10 points)

• a. 1/5
• b. 1/2
• c. 1/36
• d. 1/4
• e. None of the above

1. The regression equation, y = 6.5x + 20, is obtained after performing a regression analysis, where x represents the number of hours studied for an exam and y represents the marks on the exam. Is the following statement true or false regarding the analysis above? (2 points)

If the regression square (R^ 2) is 0.01, the number of hours studied is very useful for predicting the exam marks.

• a. True
• b. False

1. A challenging mid term exam yields the following results: 18, 25, 25, 25, 34, 34, 35, 35, 35, 100. Which type of measure would best represent the center of the results and what is its value? (2 points)

• a. Mode = 25 & 35
• b. Mean = 36.6
• c. Sample size = 10
• d. Median = 34

1. The regression equation relating attitude rating (x) and job performance rating (y) for 30 randomly selected employees of a supermarket is y = 11.7 + 1.02x. Predict the job performance rating for an employee whose attitude rating is 59. Round your answer to two decimal places. (2 points)

• a. 80.1
• b. 71.9
• c. 591
• d. 691.3

1. To estimate the mean triglyceride levels of people in West Palm Beach, a blood test on 30 randomly selected people was conducted and yielded a mean triglyceride level of 220, with a standard deviation of 12. Construct a 95% confidence interval for the true average triglyceride level of people in West Palm Beach. Round your answer to three decimal places. (3 points)

• a. (218.868, 229.132)
• b. (215.519, 224.481)
• c. (214.967, 233.033)
• d. (219.741, 230.259)