Elementary Statistics: Picturing the World (7th Edition)

7th Edition

ISBN: 9780134683416

Author: Ron Larson, Betsy Farber

Publisher: PEARSON

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Chapter 7.3, Problem 26E

Hypothesis Testing Using Rejection Regions In Exercises 19–26, (a) identify the claim and state H₀ and H_a, (b) find the critical value(s) and identify the rejection region(s), (c) find the standardized test statistic t, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the population is normally distributed.

26. Annual Salary An employment information service claims the mean annual salary for home care physical therapists is more than $80,000. The annual salaries (in dollars) for a random sample of 12 home care physical therapists are shown in the table at the left. At α = 0.10, is there enough evidence to support the claim that the mean salary is more than $80,000? (Adapted from Salary.com)

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 7.3, Problem 25E

Chapter 7.3, Problem 27E

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Chapter 7 Solutions

Elementary Statistics: Picturing the World (7th Edition)

Ch. 7.1 - Write each claim as a mathematical statement....Ch. 7.1 - A company specializing in parachute assembly...Ch. 7.1 - For each claim, state H0 and Ha in words and in...Ch. 7.1 - You perform a hypothesis test for each claim. How...Ch. 7.1 - 1. You represent a chemical company that is being...Ch. 7.1 - What are the two types of hypotheses used in a...Ch. 7.1 - Describe the two types of errors possible in a...Ch. 7.1 - Prob. 3E Ch. 7.1 - Does failing to reject the null hypothesis mean...Ch. 7.1 - True or False? In Exercises 510, determine whether...

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Solution Summary: The claim is that the mean annual salary for home care physical therapists is more than 80,000. The alternative hypothesis indicates the claim.

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