Assignment 10 Solutions

# Assignment 10 Solutions - CE93 Engineering Data Analysis...

This preview shows pages 1–4. Sign up to view the full content.

CE93 - Engineering Data Analysis Prof. Joan Walker, Spring 2011 Solutions to Assignment 10 1. Average speed of vehicles on a highway a. Observations, n = 50. . Determine two-sided 99% confidence interval for the mean speed, . Because n is large, the distribution of For 99% confidence interval, Confidence interval for b. What value of n gives a 99% confidence interval such that we know within ±1. That is, what n gives a confidence interval (65 1 , 65 + 1) = (64, 66). However, n must be integer, so we take the first integer value larger than the number found above. Therefore, n = 240. The additional vehicles observed is n 50 = 240 50 = 190. c. For n=n 1 =n 2 =100, the respective sample means are normally distributed: . The difference in sample means are distributed normal as well:

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

View Full Document
CE93 - Engineering Data Analysis Prof. Joan Walker, Spring 2011 Where 2. 30 observations (n = 30), mean = 22 min ( , sample variance = 4.2 min 2 ( We want a two-sided 99% confidence interval for the mean, For a sample with large n, the sample mean is normally distributed. When the population variance is unknown, the following statistic is follows a t-distribution with n-1 degrees of freedom: Confidence interval for :
CE93 - Engineering Data Analysis Prof. Joan Walker, Spring 2011 3. Bulb lifetime population is normally distributed. a. An estimate for the population variance is the sample variance, b. Two-sided, 99% confidence interval for : For 99% confidence interval, .

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern