Essentials of Statistics, Books a la Carte Edition (5th Edition)

5th Edition

ISBN: 9780321926739

Author: Mario F. Triola

Publisher: PEARSON

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Chapter 9.3, Problem 26BB

Pooling. In Exercises 25 and 26, assume that the two samples are independent simple random samples selected from normally distributed populations. Also assume that the population standard deviations are equal (σ₁ = σ₂), so that the standard error of the differences between means is obtained by pooling the sample variances as described in Part 2 of this section.

26. Do Men Talk Less Than Women? Repeat Exercise 8 with the additional assumption that σ₁ = σ₂. How arc the results affected by this additional assumption?

8. Do Men Talk Less Than Women? The accompanying table gives results from a study of the words spoken in a day by men and women, and the original data are in Data Set 17 in Appendix B (based on “Are Women Really More Talkative Than Men?” by Mehl, et al., Science, Vol. 317, No. 5834). Use a 0.01 significance level to test the claim that the mean number of words spoken in a day by men is less than that for women.

Table for Exercise 8

Men		Women
n₁ =	186	n₂ = 210

x ¯ 1 =	15,668.5	x ¯ 2 = 16,215.0

s₁ =	8632.5	s₂ = 7301.2

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 9.3, Problem 25BB

Chapter 9.3, Problem 27BB

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Chapter 9 Solutions

Essentials of Statistics, Books a la Carte Edition (5th Edition)

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Solution Summary: The author concludes that there is no evidence to support the claim that the mean number of words spoken in a day by men is less than that for women.

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