7th Edition

ISBN: 9780135901021

Author: Larson

Publisher: PEARSON EDUCATION (COLLEGE)

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Chapter 8.2, Problem 13E

Testing the Difference Between Two Means in Exercises 13–22, (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 samples are random and independent, and the populations are normally distributed.

13. Veterinarian Visits A pet association claims that the mean annual costs of routine veterinarian visits for dogs and cats are the same. The results for samples of the two types of pets are shown at the left. At α = 0.10, can you reject the pet association's claim? Assume the population variances are equal. (Adapted from American Pet Products Association)

Sample Statistics for Annual Costs of Routine Veterinarian Visits

Dogs	Ca1s
x ¯ 1 = $263	x ¯ 2 = $183
S₁ = $30 s,	S₂ = $27
n₁ = 16	n₂ = l8

TABLE FOR EXERCISE 13

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 12E

Chapter 8.2, Problem 14E

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Chapter 8 Solutions

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Solution Summary: The null hypothesis indicates the claim.

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