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ps1_answer - 2 = 9 inches Variance = 9 384.4 472 9 10 62...

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1 Econ 41 Statistics for Economists Summer 2007 Chunming Yuan Problem Set 1 (Answers) Multiple Choice Summary Table Item Answer Item Answer 1. c 18. b 2. a 19. d 3. a 20. c 4. b 21. c 5. d 22. d 6. b 23. b 7. b 24. c 8. d 25. b 9. c 10. c 11. d 12. b 13. b 14. b 15. b 16. a 17. d Problem and Essay Solutions 1. a. and b. Classes f Relative Frequency Percentage 21 to 30 3 .100 10.0 31 to 40 5 .167 16.7 41 to 50 8 .267 26.7 51 to 60 5 .167 16.7 61 to 70 5 .167 16.7 71 to 80 4 .133 13.3 c. 30.0% d. 26.7% e.
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2 Electric Bills ($) 0.00 0.05 0.10 0.15 0.20 0.25 0.30 21 to 30 31 to 40 41 to 50 51 to 60 61 to 70 71 to 80 Relative Frequency Electric Bills 0.00 0.05 0.10 0.15 0.20 0.25 0.30 21 to 30 31 to 40 41 to 50 51 to 60 61 to 70 71 to 80 2. Range = 121
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Unformatted text preview: 2 = 9 inches Variance = 9 384.4 472 9 10 62 472 2 = / ) ( = 9.733 Standard deviation = 9.733 = 3.12 inches 3. The mode is 82. There are 4 values less than 82, so the percentile rank is 50%. 4. Chebyshev: at least 2 2 1 1 ) ( = .75 or 75% of the values, or at least 21 Empirical: 95% of the values, or 26.6. 26 or 27 would be expected. Actual: Mean = 2184 28 = 78 Standard Deviation = 28 170,352 173,990 28 28 2184 173,990 2 = / ) ( = 11.40 Upper limit = (11.4)(2) +78 = 100.8 Lower limit 78 (11.4)(2) = 55.2 All 28 of the values lie within two standard deviations of the mean....
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This note was uploaded on 10/02/2008 for the course ECON ECON 41 taught by Professor Yuan during the Summer '07 term at UCLA.

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ps1_answer - 2 = 9 inches Variance = 9 384.4 472 9 10 62...

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