Homework_05_Solutions

Homework_05_Solutions - 1. Fish on Bicycles ^ (a) = x = 64...

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

View Full Document Right Arrow Icon
1. Fish on Bicycles (a) ˆ λ = ¯ x = 64 32 = 2 (b) [¯ x - t 31 ,. 975 × ¯ x 32 , ¯ x + t 31 ,. 975 × ¯ x 32 ] = [1 . 4901 , 2 . 5099] > qt(0.975,df=31) [1] 2.039513 Note that if you used the table with t 30 ,. 975 = 2 . 045, then the C.I. is (1.4888,2.5113) Note also that some of you may have interpolated between t 30 , 0 . 975 and t 35 , 0 . 975 us- ing the tables. Any of these methods is fine. (c) poisson.test(x=64,T=32)$conf.int [1] 1.540244 2.553955 (d) The CI’s are fairly different. The CI in part (c) includes larger values of λ (lower limit of 1 . 54 compared to 1 . 49, upper limit of 2 . 55 compared to 2 . 51). They have similar widths, but the approximate CI is very slightly wider. Here we prefer the exact CI from (c) because we have a small sample n = 32 and the method used for part (b) doesn’t guarantee a good enough approximation with a sample size of only 32. (e) poisson.test(x=532,T=260)$conf.int
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/17/2012 for the course STAT 100 taught by Professor drake during the Fall '10 term at UC Davis.

Page1 / 2

Homework_05_Solutions - 1. Fish on Bicycles ^ (a) = x = 64...

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