exam2_A

exam2_A - EON317 Midterm Examination #2 Form A Professor...

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: EON317 Midterm Examination #2 Form A Professor Manochehr Rashidian March 13, 2008 1. (40 POINTS) a. (15 points) Let μ denote the average speed over the strech. Then the null and the alternative hypotheses are H : μ = 70 , H a : μ > 70 . Based on the data set, n = 8, ¯ x = 75 . 3750, s = 6 . 4351 and the test statistic t = 75 . 3750- 70 6 . 4351 / √ 8 = 2 . 3625 . Since t . 100 = 1 . 415 < t = 2 . 3625, we REJECT the null hypothesis, H . Therefore, we conclude that the average speed of traveling over a particular strectch of a highway exceeds the legal limit of 70 MPH at 10% significance level. b. (10 points) Drawing upon the t-distribution table, we can infer that . 025 < p- value < . 050 since 1 . 895 = t . 050 < t < t . 025 = 2 . 365. So the null hypothesis will be rejected at significance level α = . 05 but cannot be rejected at α = . 025. c. (5 points) We need to assume that each sample is from a underlying common (approximately) normal distribution. d. (10 points) A 90% confidence interval is ¯ x ± t α/ 2 s √ n = 75 . 3750 ± 1 . 895 6 . 4351 √ 8 1 = 75 . 3750 ± 1 . 895 × 2 . 2752 = 75 . 3750 ± 4 . 3115 , which is [71 . 06 , 79 . 69]. We are 90% confident that the average speed of traveling over a particular stretch of highway lies between 76.1 MPH and 79.7 MPH. So we have 90% confidence that the average speed exceeds 70 MPH.speed exceeds 70 MPH....
View Full Document

This note was uploaded on 09/11/2008 for the course ECON 317 taught by Professor Safarzadeh during the Spring '07 term at USC.

Page1 / 5

exam2_A - EON317 Midterm Examination #2 Form A Professor...

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