Understandable Statistics: Concepts and Methods

12th Edition

ISBN: 9781337119917

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

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Textbook Question

Chapter 8.5, Problem 11P

Basic Computation: Testing μ₁ – μ₂ A random sample of 49 measurements from a population with population standard deviation 3 had a sample mean of 10. An independent random sample of 64 measurements from a second population with population standard deviation 4 had a sample mean of 12. Test the claim that the population means are different. Use level of significance 0.01.

(a) Check Requirements What distribution does the sample test statistic follow? Explain.
(b) State the hypotheses.
(c) Compute x ¯ ₁ – x ¯ ₂ and the corresponding sample distribution value.
(d) Find the P-value of the sample test statistic.
(e) Conclude the test.
(f) Interpret the results.

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 8.5, Problem 10P

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Chapter 8 Solutions

Understandable Statistics: Concepts and Methods

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Solution Summary: The author explains the distribution of the sample test statistic.

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