24 The probability that a new microwave oven will stop working in less than 2 years is 0.05. The probability that a new microwave oven is damaged during delivery and stops working in less than 2 years is 0.04. The probability that a new microwave oven is damaged during delivery is 0.10. Given that a new microwave oven is damaged during delivery, what is the probability that it stops working in less than 2 years? (A) 0.05 (B) 0.06 (C) 0.10 (D) 0.40 (E) 0.50 Use the following information for questions 25 to 26. Scores for students on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 108. A random sample of 36 students who took the SAT-I test is selected. Let 2 represent the mean score of the sample. 25. Find the mean and standard deviation of 2, i.e., .0. (a) (b) (c) (d) Ha (e) = 509, = 108. 509, = 18 = 84.833, 108 509, 3. 14.139, =3. 26. The probability that the sample mean score 2 is greater than 540 is about (a) 0.9573 (b) 0.5427 (c) 0.6554 (d) 0.0427 (e) 0.17 27. Last Wednesday, a random sample of 24 students were surveyed to find how long it takes to walk from the Fretwell building to the College of Education building. The survey team found a sample mean of 12.3 minutes with a standard deviation of 3.2 minutes. Assuming walking times from Fretwell to the College of Education are nor- mally distributed, Which of the following is the correct 95% confidence interval for the population mean of walking times? (a) 12.3 (1.645) (3) (b) 12.3+ (2.069) (). (c) 12.3 (2.500) (). (d) 12.3 (2.575) (3). (e) 12.3 (1.96) ().