EP STATISTICS:ART+SCI...-MYLABSTATISTIC
EP STATISTICS:ART+SCI...-MYLABSTATISTIC
4th Edition
ISBN: 9780135989029
Author: Agresti
Publisher: PEARSON CO
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Chapter 7.2, Problem 19PB

Simulate rolling dice Access the Sampling Distribution of the Sample Mean (discrete variable) web app on the book’s website. Enter the probabilities P(X = x) of 0.1667 for the numbers 1 through 6 to specify the probability distribution of a fair die. (This is a discrete version of the uniform distribution shown in the first column of Figure 7.11.) The resulting population distribution has µ = 3.5 and σ = 1.71.

  1. a. In the box for the sample size n, enter 2 to simulate rolling two dice. Then, press the Draw Sample(s) button several times and observe how the histogram for the simulated sampling distribution for the mean number shown on two rolls is building up. Finally, simulate rolling two dice and finding their average 10,000 times by selecting the corresponding option. Describe (shape, center, spread) the resulting simulated sampling distribution of the sample mean, using the histogram of the 10,000 generated sample means. (Note: Statistics for the simulated sampling distribution are reported in the tile of its plot.)
  2. b. Are the reported mean and standard deviation of the simulated sampling distribution close to the theoretical mean and standard deviation for this sampling distribution? Compute the theoretical values and compare.
  3. c. Repeat part a, but now simulate rolling n = 30 dice an finding their average face value. What are the major changes you observe in the simulated sampling distribution?
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Chapter 7 Solutions

EP STATISTICS:ART+SCI...-MYLABSTATISTIC

Ch. 7.1 - Syracuse full-time students Youd like to estimate...Ch. 7.1 - Gender distributions At a university, 60% of the...Ch. 7.1 - Prob. 13PBCh. 7.1 - Prob. 14PBCh. 7.2 - Simulate taking midterms Assume that the...Ch. 7.2 - Education of the self-employed According to a...Ch. 7.2 - Rolling one die Let X denote the outcome of...Ch. 7.2 - Playing roulette A roulette wheel in Las Vegas has...Ch. 7.2 - Simulate rolling dice Access the Sampling...Ch. 7.2 - Prob. 20PBCh. 7.2 - Shared family phone plan A recent personalized...Ch. 7.2 - Dropped from plan previous exercise mentions that...Ch. 7.2 - Restaurant profit? Jans All You Can Eat Restaurant...Ch. 7.2 - Survey accuracy A study investigating the...Ch. 7.2 - Blood pressure Vincenzo Baranello was diagnosed...Ch. 7.2 - Household size According to the 2010 U.S. census...Ch. 7.2 - Average monthly sales A large corporation employs...Ch. 7.2 - Prob. 28PBCh. 7.2 - CLT for skewed population Access the Sampling...Ch. 7.2 - Prob. 30PBCh. 7 - Practicing the Basics Exam performance An exam...Ch. 7 - Blue eyes According to a Boston Globe story, only...Ch. 7 - Prob. 33CPCh. 7 - Prob. 34CPCh. 7 - Prob. 35CPCh. 7 - Returning shipment Refer to the previous exercise,...Ch. 7 - Prob. 37CPCh. 7 - Home runs Based on data from the 2010 Major League...Ch. 7 - Physicians assistants The 2006 AAPA survey of the...Ch. 7 - Bank machine withdrawals An executive in an...Ch. 7 - PDI The scores on the Psychomotor Development...Ch. 7 - Number of sex partners According to recent General...Ch. 7 - Prob. 43CPCh. 7 - Too little or too much cola? Refer to the previous...Ch. 7 - Prob. 45CPCh. 7 - Prob. 46CPCh. 7 - Prob. 47CPCh. 7 - Purpose of sampling distribution Youd like to...Ch. 7 - Prob. 49CPCh. 7 - Prob. 50CPCh. 7 - Prob. 51CPCh. 7 - Prob. 52CPCh. 7 - Prob. 53CPCh. 7 - Winning at roulette Part b of Example 7 used the...Ch. 7 - True or false As the sample size increases, the...Ch. 7 - Prob. 56CPCh. 7 - Prob. 57CPCh. 7 - Prob. 58CPCh. 7 - Prob. 59CPCh. 7 - Prob. 60CPCh. 7 - Prob. 61CPCh. 7 - Prob. 62CPCh. 7 - Prob. 63CP
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