Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (4th Edition)

4th Edition

ISBN: 9780134435855

Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

Publisher: PEARSON

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Textbook Question

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.

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.)
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.
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 7.2, Problem 18PB

Chapter 7.2, Problem 20PB

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Chapter 7 Solutions

Statistics, Books a la Carte Edition Plus MyLab Statistics with Pearson eText -- Access Card Package (4th Edition)

Ch. 7.1 - Simulating the exit poll Simulate an exit poll of...Ch. 7.1 - Simulate condo solicitations A company that is...Ch. 7.1 - Condo sample distribution Consider the sampling...Ch. 7.1 - iPhone apps Let p = 0.25 be the proportion of...Ch. 7.1 - Other scenario for exit poll Refer to Examples 1...Ch. 7.1 - Prob. 6PB Ch. 7.1 - Random variability in baseball A baseball player...Ch. 7.1 - Relative frequency of heads Construct the sampling...Ch. 7.1 - Prob. 9PB Ch. 7.1 - Effect of n on sample proportion The figure...

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. 13PB Ch. 7.1 - Prob. 14PB Ch. 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. 20PB Ch. 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. 28PB Ch. 7.2 - CLT for skewed population Access the Sampling...Ch. 7.2 - Prob. 30PB Ch. 7 - Practicing the Basics Exam performance An exam...Ch. 7 - Blue eyes According to a Boston Globe story, only...Ch. 7 - Prob. 33CP Ch. 7 - Prob. 34CP Ch. 7 - Prob. 35CP Ch. 7 - Returning shipment Refer to the previous exercise,...Ch. 7 - Prob. 37CP Ch. 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. 43CP Ch. 7 - Too little or too much cola? Refer to the previous...Ch. 7 - Prob. 45CP Ch. 7 - Prob. 46CP Ch. 7 - Prob. 47CP Ch. 7 - Purpose of sampling distribution Youd like to...Ch. 7 - Prob. 49CP Ch. 7 - Prob. 50CP Ch. 7 - Prob. 51CP Ch. 7 - Prob. 52CP Ch. 7 - Prob. 53CP Ch. 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. 56CP Ch. 7 - Prob. 57CP Ch. 7 - Prob. 58CP Ch. 7 - Prob. 59CP Ch. 7 - Prob. 60CP Ch. 7 - Prob. 61CP Ch. 7 - Prob. 62CP Ch. 7 - Prob. 63CP

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Solution Summary: The author describes the shape, center, and spread of the simulated sampling distribution of sample mean, using the histogram of 10,000 generated sample means.

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