STAT 3000 Homework Assignment 9: Sampling Distributions and Confidence Intervals, Assignments of Statistics

Download STAT 3000 Homework Assignment 9: Sampling Distributions and Confidence Intervals and more Assignments Statistics in PDF only on Docsity! STAT 3000 Homework assignment 9 Due Tuesday, November 21, 2000 NAME: __________________________ Work on the homework individually or in groups (but everyone has to turn in his/her own assignment). Show your work as much as possible. Number of points you get for each problem is given in parentheses. You can get a maximum of 30 points for this homework. I Sampling distributions (12 pts) Please work on the following problems from Chapter 7, Section 7.3 of the Hayter book: 7.3.3 (3 pts) , 7.3.4 (3 pts), 7.3.6 (3 pts), 7.3.7 (3 pts) II Understanding Confidence Intervals (4 pts) 1. (2 pts) Here is the Confidence Intervals applet at http://www.ruf.rice.edu/~lane/stat_sim/conf_interval/index.html designed to help you understand confidence intervals. Experiment with the applet and explain in 2 or 3 sentences what it does. Then, explain to someone without any knowledge in statistics what a confidence interval is, using your own words. 2. (2 pts) Based on your ‘experience’ with the applet, answer briefly the following questions. (Note: You have to try the applet first. Without looking at the applet, some of the questions below do not make sense). 1. What percent of the 95% confidence intervals would you expect to contain 50? 2. Which is wider, 95% or 99% confidence intervals? Why? 3. How does sample size affect the number of intervals that contain 50? Explain. 4. How does sample size affect the width of the intervals?