stats NIE hw 6

stats NIE hw 6 - Statistics I Jun Nie RCT: Tues 2 3:15...

Info iconThis preview shows pages 1–3. 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: Statistics I Jun Nie RCT: Tues 2 3:15 Homework 6 Section 6-2: 4, 6, 8, 12, 16, 18, 24, 30, 32, 36, 40 4. The Bell Shape is a symmetrical hill with the peak at Z = 0, and tapers off to both sides, approaching zero. The area of the function from - to + approaches 1. 6. p( x > 50.5) = 3* .5 * .5 = .75 8. 51.6 51.5 = .1 minutes (.1 / 2) = .05 12. p( Z < 2.5) = .9946 18. p( 0.50 < Z < 1.50 ) = p( Z < 1.5) p( Z < 0.50) = .9932 - .6915 = .3107 24. p( -3.90 < Z < 1.50) p( Z < 1.50) = .9932 {because p( Z < 3.90) << 0.001} 30. p(-2 < Z < 2) = 1 - 2p( Z < -2) = 1 2(.0228) = .9544 95.44% 32. p(-3.50 < Z < 3.50) = 1 - 2p( Z < -3.50) = 1 2(.0001) = .9998 99.98% 36. p( |Z| > 1.96) = 2p(Z < -1.96) = 2(.025) = .05 40. We reject 1% of thermometers that read too high and 1% that read too low. We select the middle 98%. We define: Z* = upper bound, -Z* = lower bound. We accept values of Z that fulfill the following inequality: |Z| < Z* , where p(|Z| < Z*) = .98 p(Z < -Z*) = p(Z > Z*) = .01, we solve for Z*. According to the Z-Score table, we get Z* 2.33 . {According to a t-table with an area of .02 in two tails, and a large degree of freedom, we arrive at Z* = 2.326} The two reading cutoff values are 2.33 and -2.33 for the upper and lower bounds, respectively. Section 6-3: 6, 12, 16, 18, 22, 30 6. = 100, = 15, X = 131.5 Z = (x ) / (131.5 100) / 15= 2.10 p(Z > 2.10) = .0179 12. p(Z > Z) = .15 Z 1.04 X = ()( Z*) + = (15)(1.04) + 100 = 115.6 16. given: mens height = 69, = 2.8, womens height = 63.6, = 2.5 a....
View Full Document

This note was uploaded on 08/27/2008 for the course ECON V31.0018 taught by Professor Hall during the Spring '08 term at NYU.

Page1 / 4

stats NIE hw 6 - Statistics I Jun Nie RCT: Tues 2 3:15...

This preview shows document pages 1 - 3. Sign up to view the full document.

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