Statistics Homework Solutions 129

Statistics Homework Solutions 129 - 129 SUPPLEMENTARY...

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Unformatted text preview: 129 SUPPLEMENTARY EXERCISES FOR CHAPTER 5 0 89, mean length is 0 46. ¨ 0 42. 0 305. ¨ ¨ 0 96, mean length is ¨ 17, but less than 0.95 for both n ¡ (d) The traditional method has coverage probability close to 0.95 for n n 40. 0 29. ¡ ¨ 0 92, mean length is ¨ ¨ 0 95, mean length is ¨ ¨ 0 95, mean length is Coverage probability for the Agresti-Coull interval is Coverage probability for the Agresti-Coull interval is (b) Coverage probability for traditional interval is 0 51. ¨ ¨ 0 98, mean length is Coverage probability for the Agresti-Coull interval is (c) Coverage probability for traditional interval is 0 585. ¨ 9. (a) Coverage probability for traditional interval is 10 and ¡ (e) The Agresti-Coull interval has greater coverage probability for sample sizes 10 and 40, and nearly equal for 17. (f) The Agresti-Coull method does. Supplementary Exercises for Chapter 5 ¨ 75, or (0.084, 0.516). 1 96. ¨ 87 ¢ ¤ ¥ £ 0 16484 4 , or (0.0886, 0.241). ¥ ¡ ¢ ¨ £ ¨ ¨ ¡ ¨ ¨ ¨ ¡ ¡ ¡ ¨ ¡ ¡¥ ¤ ¨ ¨ ¡ ¨ 1 96 0 16484 1 ¨ ¨ 0 16484, z 025 1 02 £ ¡ 125 1 645. ¡ ¡ ¢ ¡ ¡ ¨ ¡ ¨ ¡ ¤ ¥ £ ¨ ¢ ¤ ¡ ¡ ¡ The conﬁdence interval is 0 16484 4 75, z 05 ¨ ¨ 87 2 ¨ 13 ¤ ¡ 87, p ˜ ¢ ¡ 13, n 1 645 0 72 ¨ ¡ ¤ 7. (a) X 58 1 0, nY ¥ ¤ The conﬁdence interval is 6 1 5 8, sY ¢ ¢ 125, Y ¨ ¢ 0 7, nX ¤ ¤ ¥ £ ¤ ¥ £ 6 1, sX ¢ ¨ X ¨ ¡ 5. 0 914228 1 0 914228 , 4988 2 ¥ ¢ ¨ or (0.0374, 0.0667). 0 966281 1 0 966281 1985 2 ¡ ¨ ¢ 2 58 2 58. ¡ ¡¥ ¡¥ ¨ ¡ The conﬁdence interval is 0 966281 0 914228 0 966281, 0 914228, z 005 ¤ 1985 2 4988 2 ¡ ¨ ¨ 1919 1 4561 1 6 , or (1.942, 19.725). ¨ 2 571 8 471521 1985, pX ˜ 4988, pY ˜ 2 571. ¤£ ¡ 1919, nX 4561, nY ¡ X Y  The conﬁdence interval is 10 833 3. 1 025 ¥ 6, t6 ¡  8 471521, n ¨  10 833, sD  D 2 10. ¡ The differences are 21 18 5 13  1. ¨ ...
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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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