Elementary Statistics: A Step By Step Approach

10th Edition

ISBN: 9781259755330

Author: Allan G. Bluman

Publisher: McGraw-Hill Education

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Textbook Question

Chapter 8.2, Problem 8E

For Exercises 1 through 25, perform each of the following steps.

a. State the hypotheses and identify the claim.

b. Find the critical value(s).

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

Use diagrams to show the critical region (or regions), and use the traditional method of hypothesis testing unless otherwise specified.

8. Salaries of Government Employees The mean salary of federal government employees on the General Schedule is $59,593. The average salary of 30 randomly selected state employees who do similar work is $58,800 with σ = $1500. At the 0.01 level of significance, can it be concluded that state employees earn on average less than federal employees?

Source: New York Times Almanac.

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 8.2, Problem 7E

Chapter 8.2, Problem 9E

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Chapter 8 Solutions

Elementary Statistics: A Step By Step Approach

Ch. 8.1 - Applying the Concepts 81 Eggs and Your Health The...Ch. 8.1 - Define null and alternative hypotheses, and give...Ch. 8.1 - What is meant by a type I error? A type II error?...Ch. 8.1 - What is meant by a statistical test?Ch. 8.1 - Explain the difference between a one-tailed and a...Ch. 8.1 - What is meant by the critical region? The...Ch. 8.1 - What symbols are used to represent the null...Ch. 8.1 - What symbols are used to represent the...Ch. 8.1 - Explain what is meant by a significant difference.Ch. 8.1 - When should a one-tailed test be used? A...

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Solution Summary: The author states the null and alternative hypotheses and identifies the claim. The average salary of 30 randomly selected state employees is 58,800.

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