APPENDIX D 783 2. a. An unbiased estimator is a statistic that targets the value of the population parameter in the sense that the sampling distribution of the statistic has a mean that is equal to the corresponding parameter. b. Mean; variance; proportion c. True 3. a. -2.33 b. 2.33 c. 1.96 4. a. Normal b. 33.64 cm c. 0.83 cm 5. a. 1 b. 3037.1 g c. 3037.1 g d. 498,859.7 g2 6. a. 131 b. 0.0000179 (Table: 0.0001) c. No. It is very possible that the 4 subjects have a mean of 131 while some of them have scores below 131. 7. a. 1.49% (Table: 1.50%) b. 69.4 in. 8. a. 1.13% b. 63.8 in. 9. 53.9 in. and 65.5 in. Yes, 67 in. is significantly high. 10. No. A histogram is far from bell-shaped. A normal quantile plot reveals a pattern of points that is far from a straight-line pattern. Chapter 6: Cumulative Review Exercises 1. a. 44.2 minutes b. 35.0 minutes c. 21.4 minutes d. 458.3 minutes2 e. z = 2.37 f. Yes. The z score of 2.37 is greater than 2, so the longest wait time of 95 minutes is significantly high. g. Ratio level of measurement h. The exact unrounded wait times would have been continuous, but the listed wait times are all multiples of 5, so these rounded wait times are discrete data. 2. a. 30.0 minutes, 35.0 minutes, 50.0 minutes b. c. No. The distribution appears to be skewed instead of being normal. d. No. The points don’t fit a straight-line pattern very well, and there appears to be some other pattern that is not a straight line. 3. a. 0.0228 b. 0.6003 (Table: 0.6009) c. 266.7 mm d. 0.1163 (Table: 0.1170) e. The result from part (c) is more helpful because it provides a foot length that is potentially the maximum to be used for shoe sizes. The result from part (d) is based on the distribution of means from groups of 16 women, which is irrelevant for planning shoe sizes. 4. a. B is the event of selecting someone who does not have blue eyes. b. 0.65 c. 0.0429 d. Using normal approximation: 0.1727 (Table: 0.1736); Tech using binomial: 0.1724. e. No 5. a. 196.54°F is far too high to be reasonable as the mean body temperature of a group of adult males. b. The value of 980°F is an outlier and an error because it is not a possible body temperature of an adult male. 17. Normal. The points have coordinates 197.9, -1.282, 198.0, -0.522, 198.2, 02, 198.4, 0.522, 198.7, 1.282. 19. Not normal. The points have coordinates 1963, -1.532, 11027, -0.892, 11029, -0.492 11034, -0.162, 11070, 0.162, 11079, 0.492, 11079, 0.892, 11439, 1.532. 21. a. Yes b. Yes c. No Chapter 6: Quick Quiz 1. 2. z = 1.28 3. 0.0606 4. 0.8186 (Table: 0.8185) 5. a. m = 0 and s = 1 b. mx represents the mean of all sample means, and s x represents the standard deviation of all sample means. 6. Normal distribution 7. 0.0863 (Table: 0.0869) 8. 0.9021 (Table: 0.9015) 9. 0.9137 (Table: 0.9131) 10. The normal quantile plot suggests that the scores are from a normally distributed population. Chapter 6: Review Exercises 1. a. 0.9147 b. 0.9904 c. 0.6500 (Table: 0.6501) d. -0.67 e. 0.2451
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