Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Chapter 11.3, Problem 4E
Performing a Kruskal-Wallis Test In Exercises 3β6, (a) identify the claim and state H0 and Ha. (b) find the critical value and identify the rejection region, (c) find the test statistic H, (d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim.
4. Hourly Rates A researcher wants to determine whether there is a difference in the hourly pay rates for registered nurses in Indiana, Kentucky, and Ohio. The researcher randomly selects several registered nurses in each state and records the hourly pay rate for each. The table shows the results. At a = 0.05, can the researcher conclude that the distribution of the hourly pay rates of registered nurses in at least one state is different from the others? (Adapted from U.S. Bureau of Labor Statistics)
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Students have asked these similar questions
a. Find the expected frequencies.
b. Determine the criticalβ value, x^2 0, and the rejection region.
c. Calculate the test statistic.
(d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
Conduct a t-test at the .01 level.
Find the correct decision about the null hypothesis.
(A) Because the t-statistic exceeds the critical values, we fail to reject the null hypothesis.
(B) Because the t-statistic exceeds the critical values, we reject the null hypothesis.
(C) Because the t-statistic does not exceed the critical values, we fail to reject the null hypothesis.
(D) Because the t-statistic does not exceed the critical values, we reject the null hypothesis.
β(b) Find the criticalβ value(s) and identify the rejectionβ region(s).
β(c) Calculate d and sd.
β(d) Find the standardized test statistic t.
β(e) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
Chapter 11 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 11.1 - A real estate agency claims that the median number...Ch. 11.1 - An organization claims that the median age of...Ch. 11.1 - A medical researcher claims that a new vaccine...Ch. 11.1 - Prob. 1ECh. 11.1 - When the sign test is used, what population...Ch. 11.1 - Describe the test statistic for the sign test when...Ch. 11.1 - In your own words, explain why the hypothesis test...Ch. 11.1 - Explain how to use the sign test to test a...Ch. 11.1 - List the two conditions that must be met in order...Ch. 11.1 - Performing a Sign Test In Exercises 722, (a)...
Ch. 11.1 - Temperature A meteorologist claims that the median...Ch. 11.1 - Prob. 9ECh. 11.1 - Temperature During a weather report, a...Ch. 11.1 - Credit Card Debt A financial services institution...Ch. 11.1 - Financial Debt A financial services accountant...Ch. 11.1 - Prob. 13ECh. 11.1 - Social Networking A research group claims that the...Ch. 11.1 - Unit Size A renters organization claims that the...Ch. 11.1 - Prob. 16ECh. 11.1 - Hourly Wages A labor organization claims that the...Ch. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Contacting Parents A research organization...Ch. 11.1 - In Exercises 2528, use a right-tailed test and (a)...Ch. 11.1 - Prob. 26ECh. 11.1 - Prob. 27ECh. 11.1 - Ages of Grooms A marriage counselor claims that...Ch. 11.2 - A quality control inspector wants to test the...Ch. 11.2 - Prob. 2TYCh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Performing a Wilcoxon Test In Exercises 38, (a)...Ch. 11.2 - Performing a Wilcoxon Test In Exercises 38, (a)...Ch. 11.2 - Wilcoxon Signed-Rank Test for n 30 When you are...Ch. 11.2 - Prob. 10ECh. 11.2 - Construct a side-by-side box-and-whisker plot for...Ch. 11.2 - Prob. 2CSCh. 11.2 - In Exercises 25, use the sign test to test the...Ch. 11.2 - In Exercises 25, use the sign test to test the...Ch. 11.2 - In Exercises 25, use the sign test to test the...Ch. 11.2 - In Exercises 6 and 7, use the Wilcoxon rank sum...Ch. 11.2 - In Exercises 6 and 7, use the Wilcoxon rank sum...Ch. 11.3 - Prob. 1TYCh. 11.3 - Prob. 1ECh. 11.3 - Explain why the Kruskal-Wallis test is always a...Ch. 11.3 - Prob. 3ECh. 11.3 - Performing a Kruskal-Wallis Test In Exercises 36,...Ch. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Comparing Two Tests In Exercises 7 and 8, (a)...Ch. 11.3 - Comparing Two Tests In Exercises 7 and 8, (a)...Ch. 11.4 - Prob. 1TYCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.5 - A machine produces engine parts. An inspector...Ch. 11.5 - Prob. 2TYCh. 11.5 - Prob. 3TYCh. 11.5 - In your own words, explain why the hypothesis test...Ch. 11.5 - Describe the test statistic for the runs test when...Ch. 11.5 - Finding the Number of Runs In Exercises 36,...Ch. 11.5 - Prob. 4ECh. 11.5 - Finding the Number of Runs In Exercises 36,...Ch. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Finding Critical Values In Exercises 1114, use the...Ch. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - Prob. 15ECh. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Runs Test with Quantitative Data In Exercises...Ch. 11 - Using an Inappropriate Test Discuss the...Ch. 11 - Prob. 11.1.1RECh. 11 - Prob. 11.1.2RECh. 11 - Prob. 11.1.3RECh. 11 - Prob. 11.1.4RECh. 11 - Prob. 11.1.5RECh. 11 - Prob. 11.1.6RECh. 11 - In Exercises 7 and 8, use a Wilcoxon test to test...Ch. 11 - In Exercises 7 and 8, use a Wilcoxon test to test...Ch. 11 - Prob. 11.3.9RECh. 11 - Prob. 11.3.10RECh. 11 - Prob. 11.4.11RECh. 11 - Prob. 11.4.12RECh. 11 - Prob. 11.5.13RECh. 11 - Prob. 11.5.14RECh. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - An employment agency claims that there is a...Ch. 11 - Prob. 5CTCh. 11 - How Would You Do It? (a) What sampling technique...Ch. 11 - In a recent year, according to the Bureau of Labor...Ch. 11 - Prob. 3RSRDCh. 11 - Construct a box-and-whisker plot for each region....Ch. 11 - In Exercises 15, refer to the annual incomes of...Ch. 11 - Use technology to perform a Wilcoxon rank sum test...Ch. 11 - Prob. 4TCh. 11 - Prob. 5TCh. 11 - Prob. 6T
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