For nos. 13-15, refer to this situation: A manufacturer receives a shipment of 500 spare parts from a supplier who claims that the lengths of the spare parts are normally distributed with a mean of 2.5 cm and a standard deviation of 0.4 cm. The manufacturer takes a 10% random sample from the shipment. 13. How many sample spare parts are taken by the manufacturer? a. 500 b. 250 c. 150 d. 50 14. What is the mean length of these sample spare parts? a. 0.04 cm b. 1.25 cm c. 2.5 cm d. 3 cm 15. What is the probability that the manufacturer gets a mean length lesser than 2.6 cm? a. 3.75% b. 4.75% c. 5.75% d. 47.50%DIRECTIONS: Read each item carefully, analyse each statement and choose the correct answer among the given choices. Write the letter on a separate sheet. 1. Which of the following equations is always TRUE? a. H - Hi b. H z Ha C. H of 3. What happens to the standard error of the sampling distribution if the sample size is decreased? a. It remains the same. c. It will increase. b. It will also decrease. d. It will either increase or decrease. 4. How many possible samples of size 3 can be drawn from N = 10? a. 130 b. 120 c. 110 d. 100 5. Find the mean of the following population: 5, 7, 9, 11, 13. a. 45 b. 13 c. 9 d. 5 6. Compute for the finite population correction factor of N = 150 and n = 10. a. 0.97 b. 0.96 c. 0.95 d. 0.94 For nos. 7- 8, refer to this situation: Assume that the heights of 2,000 male students of a university are normally distributed with a mean of 68 inches and a standard deviation of 3 inches. Consider 500 samples of male students. 7. What is the mean height of these 500 male students? a. 3 in b. 34 in c. 45 in d. 68 in 8. Find the standard deviation of the sample mean using of = o/vn . a. 0.13 in b. 0. 14 in c. 0.15 in d. 0.16 in 9. What should be the sample size to make the shape of the sampling distribution normal? a. It should be increasing. c. It should either be increasing or decreasing. b. It should be decreasing. d. It should depend on the situation. 10. Which is TRUE about the Central Limit Theorem in order to get good estimate of the population mean? a. increase n c. increase or decrease n b. decrease n d. equate n to N For nos. 11-12, refer to this situation: A prototype automotive tire has a mean design life of 38,500 miles with a standard deviation of 2,500 miles. Five such tires are manufactured and tested. 11. What is the mean design life of the 5 tires? a. 38,500 mi b. 7,700 mi c. 2,500 mi d. 500 mi 12. Find the standard deviation of the 5 tires. (0, = 0/ Vn ) a. 1,125 mi b. 1,120 mi c. 1,118 mi d. 1,115 mi