Assignment 10 Solutions

Assignment 10 Solutions - CE93 Engineering Data Analysis...

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

View Full Document Right Arrow Icon
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:
Image of page 1

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

View Full Document Right Arrow Icon
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 :
Image of page 2
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, .
Image of page 3

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

View Full Document Right Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern