hw12sol - Solutions to Homework 12 Problem 10.5 a The point...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

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

Unformatted text preview: Solutions to Homework 12 Problem 10.5 a. The point estimate is ¯ x 1- ¯ x 2 = 135 . 67- 68 . 64 = 67 . 03 . b. The margin of error is MOE = z α/ 2 s σ 2 1 n 1 + σ 2 2 n 2 = 2 . 576 s 35 2 40 + 20 2 30 = 17 . 08 . c. The 99% confidence interval is (¯ x 1- ¯ x 2 ) ± MOE = 67 . 03 ± 17 . 08 = (49 . 95 , 84 . 11) . Problem 10.8 a. The test statistic is z = (¯ x 1- ¯ x 2 )- D r σ 2 1 n 1 + σ 2 2 n 2 = (9 . 95- 69 . 56)- q 2 . 5 2 112 + 2 . 5 2 84 = 1 . 08 . b. The p-value is 2 P ( Z > 1 . 08) = 2(0 . 1401) = 0 . 2802 . c. Since the p-value is greater than α = 0 . 01, we do not reject H and conclude that it is possible that Palmer and Woods have the same mean score. Problem 10.17 a. The hypotheses are H : μ 1- μ 2 ≤ H a : μ 1- μ 2 > b. The test statistic is t = (¯ x 1- ¯ x 2 )- D r s 2 1 n 1 + s 2 2 n 2 = (6 . 82- 6 . 25)- q . 64 2 16 + . 75 2 10 = 1 . 99 . 1 c. To compute the p-value, we first need to compute the degrees of freedom....
View Full Document

This note was uploaded on 01/24/2011 for the course STATISTICS 19897 taught by Professor Jager,abigaill during the Spring '10 term at Kansas State University.

Page1 / 2

hw12sol - Solutions to Homework 12 Problem 10.5 a The point...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online