Statistics Homework Solutions 2

Statistics Homework Solutions 2 - 2 CHAPTER 1 Section 1.2...

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Unformatted text preview: 2 CHAPTER 1 Section 1.2 1. False 3. No. In the sample 1, 2, 4 the mean is 7/3, which does not appear at all. 5. The sample size can be any odd number. 7. Yes. If all the numbers in the list are the same, the standard deviation will equal 0. 9. The mean and standard deviation both increase by 5%. The total number of points scored in the class of 30 students is 30 72 2160. The total number of points scored in the class of 40 students is 40 79 3160. The total number of points scored in both classes combined is 2160 3160 5320. There are 30 40 70 students in both classes combined. Therefore the mean score for the two classes combined is 5320 70 76. ¡ 11. ¡ ¡ ¢ ¡ ¡ ¢ £ 13. (a) All would be multiplied by 2.54. (b) Not exactly the same, because the measurements would be a little different the second time. 15. (a) The sample size is n 16. The tertiles have cutpoints 1 3 17 5 67 and 2 3 17 11 33. The first tertile is therefore the average of the sample values in positions 5 and 6, which is 44 46 2 45. The second tertile is the average of the sample values in positions 11 and 12, which is 76 79 2 77 5. ¨ ¡ §¥ ¡ ¤ ¦¥ £ ©¥ ¢ ¤ £¤ £ ©¥ ¨ ¡ ¨ ¢ ¡ §¥ ¤ ¦¥ £¤ ¡ ¤ (b) The sample size is n 16. The quintiles have cutpoints i 5 17 for i 1 2 3 4. The quintiles are therefore the averages of the sample values in positions 3 and 4, in positions 6 and 7, in positions 10 and 11, and in positions 13 and 14. The quintiles are therefore 23 41 2 32, 46 49 2 47 5, 74 76 2 75, and 82 89 2 85 5. ¡  £ ©¥ ¢ ¤ ¨ ¡   £ ¥ ¡ ¢ ¥ ¤ ¤ ¦¥ ¡ £¤ £ ¥ ¢ ¡ ¤ ¨ ¡ £ ¥ ¢ ¤ ...
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This note was uploaded on 12/20/2011 for the course STA 3163 taught by Professor Mattgilg during the Fall '11 term at UNF.

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