Elementary Statistics: Picturing the World (7th Edition)

7th Edition

ISBN: 9780134683416

Author: Ron Larson, Betsy Farber

Publisher: PEARSON

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Chapter 8, Problem 8.1.8RE

In Exercises 5–8, test the claim about the difference between two population means μ₁ and μ₂, at the level of significance α. Assume the samples are random and independent, and the populations are normally distributed.

8. Claim: μ₁ ≠ μ₂; α = 0.05

Population statistics: σ₁ = 14 and σ₂ = 15

Sample statistics: x ¯ 1 = 87 , n₁ = 410 and x ¯ 2 = 85 , n₂ = 340

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, Problem 8.1.7RE

Chapter 8, Problem 8.1.9RE

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Test the claim about the difference between two population means m1 and m2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology.11.Claim: m1=m2; a=0.1.Population statistics: s1=3.4 and s2=1.5Sample statistics: x1=16, n1=29 and x2=14, n2=28

Test the claim about the population mean, u, at the given level of significance using the given sample statistics. Claim: #6000; α=0.07; = 389. Sample statistics: x=6200, n=35 μ Identify the null and alternative hypotheses. Choose the correct answer below. Ο A. Ho: μ = 6000 Ha: µ#6000 OC. Ho µ‡ 6000 H₂ μ=6000 QE. Ho: 26000 H₂: μ#6000 OB. Ho u≤6000 Ha μ#6000 O D. Ho: μ#6000 Hai μ ≥6000 OF. Ho μ#6000 H₂ μ≤6000 11

6) Use a significance level of a = 0.05 to test the claim that µ # 32.6. The sample data from normal population consists of 15 scores for which x = 41.9 and s = 7.7.

Chapter 8 Solutions

Elementary Statistics: Picturing the World (7th Edition)

Ch. 8.1 - Classify each pair of samples as independent or...Ch. 8.1 - A survey indicates that the mean annual wages for...Ch. 8.1 - A travel agency claims that the average daily cost...Ch. 8.1 - What is the difference between two samples that...Ch. 8.1 - Explain how to perform a two-sample z-test for the...Ch. 8.1 - Describe another way you can perform a hypothesis...Ch. 8.1 - What conditions are necessary in order to use the...Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Independent and Dependent Samples In Exercises 58,...

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2. Let x be a random variable that represents the concentration of iron in water. The EPA specifies that x has a normal distribution with o = 0.7. The company claims that the iron concentration population mean is u = 2.0 downstream from the plant. But 10 samples taken downstream from an industrial plant show an X = 2.48.
Test the claim about the difference between two population means u, and H2 at the level of significance oa. Assume the samples are random and independent, and the populations are normally distributed. Claim: 4, SH2; a= 0.05. Assume o #o, Sample statistics: x, = 2417, s, = 177, n, 12 and X2 = 2296, s2 = 55, n2 = 11 Identify the null and alternative hypotheses. Choose the comrect answer below. O D. Ho: H1 SH2 Find the standardized test statistic t. = 1 (Round to two decimal places as needed.) Find the P-value. D=d (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
10. Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Claim: μ<4915; α=0.05 Sample statistics: x=5017, s=5613, n=55 Question content area bottom Part 1 What are the null and alternative hypotheses? H0: muμ greater than or equals≥ 4915 4915 Ha: muμ less than< 4915 4915 (Type integers or decimals. Do not round.) Part 2 Find the standardized test statistic t. t=enter your response here (Round to two decimal places as needed.)

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Solution Summary: The author concludes that there is no enough evidence to support the claim that mu

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