HW 7 Solutions

HW 7 Solutions - STATW1211.005 Prof. Zhang TR 02:40P-03:55P...

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: STATW1211.005 Prof. Zhang TR 02:40P-03:55P Homework 7 Solutions Textbook: Probability and statistics for engineering and the sciences (7 th edition) by Jay L. Devore Chapter 8: Question 9 a. R 1 is most appropriate, because x either too large or too small contradicts p = .5 and supports p .5. b. A type I error consists of judging one of the two companies favored over the other when in fact there is a 50-50 split in the population. A type II error involves judging the split to be 50-50 when it is not. c. X has a binomial distribution with n = 25 and p = 0.5. P(type I error) = when X ~ Bin(25, .5)) = B(7; 25,.5) + 1 B(17; 25,.5) = .044 d. when p = .4) = B(17; 25,.5) B(7, 25,.4) = 0.845, and also. e. x = 6 is in the rejection region R 1 , so H is rejected in favor of H a . Question 13 a. , where Z is a standard normal r.v. b. P(rejecting H when when . Similarly, when . In general, we have P(type I error) < .01 when this probability is calculated for a value of less than 100. The boundary value...
View Full Document

Page1 / 3

HW 7 Solutions - STATW1211.005 Prof. Zhang TR 02:40P-03:55P...

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