Elementary Statistics: A Step By Step Approach

9th Edition

ISBN: 9780073534985

Author: Allan Bluman

Publisher: McGraw-Hill Science/Engineering/Math

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Textbook Question

Chapter 9.5, Problem 20E

For Exercises 9 through 24, perform the following steps. Assume that all variables are normally distributed.

a. State the hypotheses and identify the claim.

b. Find the critical value.

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified.

20. School Teachers’ Salaries A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salaries of secondary school teachers. A random sample of the salaries of 30 elementary school teachers has a variance of $8324, and a random sample of the salaries of 30 secondary school teachers has a variance of $2862. At α = 0.05, can the researcher conclude that the variation in the elementary school teachers’ salaries is greater than the variation in the secondary school teachers’ salaries? Use the P-value method.

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 9.5, Problem 19E

Chapter 9.5, Problem 21E

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Chapter 9 Solutions

Elementary Statistics: A Step By Step Approach

Ch. 9.1 - Home Runs For a sports radio talk show, you are...Ch. 9.1 - Explain the difference between testing a single...Ch. 9.1 - When a researcher selects all possible pairs of...Ch. 9.1 - What three assumptions must be met when you are...Ch. 9.1 - Show two different ways to state that the means of...Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - For Exercises 5 through 16, perform each of the...Ch. 9.1 - For Exercises 5 through 16, perform each of the...

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Solution Summary: The author identifies the claim and states the alternative hypothesis. The test statistic value is 2.91.

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