Statistics Homework Solutions 129

Statistics Homework Solutions 129 - 129 SUPPLEMENTARY...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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. ¨ ...
View Full Document

Ask a homework question - tutors are online