7th Edition

ISBN: 9780100547568

Author: BRASE

Publisher: YUZU

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Chapter 7.6, Problem 20P

Basic Computation: p ^ Distribution Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a) Suppose n = 33 and p = 0.21. Can we approximate the p ^ distribution by a normal distribution? Why? What are the values of μ p ^ and σ p ^ .?

(b) Suppose n = 25 and p = 0.15. Can we safely approximate the p ^ distribution by a normal distribution? Why or why not?

(c) Suppose n = 48 and p = 0.15. Can we approximate the p ^ distribution by a normal distribution? Why? What are the values of μ p ^ and σ p ^ .?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 7.6, Problem 19P

Chapter 7.6, Problem 21P

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Solution Summary: The author explains that we can approximate the stackrelp distribution by a normal distribution.

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