Statistics: The Art and Science of Learning From Data, Books a la Carte Edition (4th Edition)
4th Edition
ISBN: 9780133860825
Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg
Publisher: PEARSON
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Textbook Question
Chapter 15, Problem 19CP
Telephone holding times In Exercise 15.8, the telephone holding times for Muzak and classical music were
Muzak 0, 1, 4, 6, 3
Classical 13, 9, 8, 15, 7
- a. For comparing these two groups with the Wilcoxon test, report the ranks and the
mean rank for each group. - b. Two groups of size 5 each have 252 possible allocations of rankings. For a two-sided test of H0: identical distributions with these data, explain why the P-value is 2/252 = 0.008. Interpret the P-value.
15.8 How long do you tolerate being put on hold?
Examples 1–4 and 7 in Chapter 14 referred to the following randomized experiment: An airline analyzed whether telephone callers to their reservations office would remain on hold longer, on average, if they heard (a) an advertisement about the airline, (b) Muzak, or (c) classical music. For 15 callers randomly assigned to these three conditions, the table shows the data. It also shows the ranks for the 15 observations as well as the mean rank for each group and some results from using MINITAB to conduct the Kruskal-Wallis test.
- a. State the null and alternative hypotheses for the Kruskal-Wallis test.
- b. Identify the value of the test statistic for the Kruskal-Wallis test and state its approximate sampling distribution, presuming H0 is true.
- c. Report and interpret the P-value shown for the Kruskal-Wallis test.
- d. To find out which pairs of groups significantly differ, how could you follow up the Kruskal-Wallis test?
Telephone holding times by type of recorded message
Kruskal-Wallis Test: Holding Time Versus Group
H = 7.38 DF = 2 P = 0.025 (adjusted for ties)
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Chapter 15 Solutions
Statistics: The Art and Science of Learning From Data, Books a la Carte Edition (4th Edition)
Ch. 15.1 - Prob. 1PBCh. 15.1 - Prob. 2PBCh. 15.1 - Prob. 3PBCh. 15.1 - Prob. 4PBCh. 15.1 - Prob. 5PBCh. 15.1 - Prob. 6PBCh. 15.1 - Prob. 7PBCh. 15.2 - How long do you tolerate being put on hold?...Ch. 15.2 - Prob. 9PBCh. 15.2 - Prob. 10PB
Ch. 15.2 - Cell phones and reaction times Example 13 in...Ch. 15.2 - Sign lest for GRR scores Consider Example 8, for...Ch. 15.2 - Prob. 13PBCh. 15.2 - More on blood pressure Refer to the previous...Ch. 15.2 - Prob. 15PBCh. 15.2 - Prob. 16PBCh. 15 - Car bumper damage An automobile company compares...Ch. 15 - Comparing more bumpers Refer to the previous...Ch. 15 - Telephone holding times In Exercise 15.8, the...Ch. 15 - Treating alcoholics The nonparametric statistics...Ch. 15 - Comparing tans Examples 1 and 2 compared two...Ch. 15 - Comparing therapies for anorexia The Anorexia data...Ch. 15 - Internet versus cell phones For the countries in...Ch. 15 - Prob. 24CPCh. 15 - GPAs The Georgia Student Survey data file has data...Ch. 15 - Prob. 26CPCh. 15 - Prob. 27CPCh. 15 - Student survey For the FL Student Survey data file...Ch. 15 - Prob. 29CPCh. 15 - Prob. 30CPCh. 15 - Complete the analogy The t test for comparing two...Ch. 15 - Prob. 32CPCh. 15 - True or false For a one-sided significance test...Ch. 15 - Multiple choice Nonparametric statistical methods...Ch. 15 - Prob. 35CPCh. 15 - Prob. 36CPCh. 15 - Prob. 37CP
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