Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 13.4, Problem 13BB
To determine
To find: The z test statistic for the Mann-Whitney U test.
To compare: The z test statistic for the Mann-Whitney U test and the z test statistic found using the Wilcoxon rank-sum test.
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using the Wilcoxon signed-rank test to test the hypothesis that there is no difference between the Before and After with this data:
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(Yi, X1i, X2i) satisfy the assumptions of the attachment in addition,var(ui | X1i, X2i) = 4 and var(X1i) = 6. A random sample of size n = 400is drawn from the population.a. Assume that X1and X2 are uncorrelated. Compute the variance of β˄1.b. Assume that corr(X1, X2) = 0.5. Compute the variance of β˄1. c. Comment on the following statements: “When X1 and X2 are correlated,the variance of β˄1 is larger than it would be if X1 and X2 were uncorrelated. Thus, if you are interested in β1, it is best to leave X2 out of the regression if it is correlated with X1.”
Benford's Law states that the first nonzero digits of numbers drawn at random from a large complex data file have the following probability distribution.†
First Nonzero Digit
1
2
3
4
5
6
7
8
9
Probability
0.301
0.176
0.125
0.097
0.079
0.067
0.058
0.051
0.046
Suppose that n = 275 numerical entries were drawn at random from a large accounting file of a major corporation. The first nonzero digits were recorded for the sample.
First Nonzero Digit
1
2
3
4
5
6
7
8
9
Sample Frequency
75
48
37
26
25
18
13
17
16
Use a 1% level of significance to test the claim that the distribution of first nonzero digits in this accounting file follows Benford's Law.
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
What are the degrees of freedom?
Chapter 13 Solutions
Elementary Statistics (13th Edition)
Ch. 13.2 - Prob. 1BSCCh. 13.2 - Prob. 2BSCCh. 13.2 - Contradicting H1 An important step in conducting...Ch. 13.2 - Efficiency of the Sign Test Refer to Table 13-2 on...Ch. 13.2 - Matched Pairs. In Exercises 58, use the sign test...Ch. 13.2 - Matched Pairs. In Exercises 58, use the sign test...Ch. 13.2 - Matched Pairs. In Exercises 58, use the sign test...Ch. 13.2 - Matched Pairs. In Exercises 58, use the sign test...Ch. 13.2 - Nominal Data. In Exercises 912, use the sign test...Ch. 13.2 - Nominal Data. In Exercises 912, use the sign test...
Ch. 13.2 - Nominal Data. In Exercises 912, use the sign test...Ch. 13.2 - Nominal Data. In Exercises 912, use the sign test...Ch. 13.2 - Appendix B Data Sets. In Exercises 1316, refer to...Ch. 13.2 - Appendix B Data Sets. In Exercises 1316, refer to...Ch. 13.2 - Appendix B Data Sets. In Exercises 1316, refer to...Ch. 13.2 - Appendix B Data Sets. In Exercises 1316, refer to...Ch. 13.2 - Procedures for Handling Ties In the sign lest...Ch. 13.2 - Finding Critical Values Table A-7 lists critical...Ch. 13.3 - Wilcoxon Signed-Ranks Test for Body Temperatures...Ch. 13.3 - Prob. 2BSCCh. 13.3 - Prob. 3BSCCh. 13.3 - Prob. 4BSCCh. 13.3 - Using the Wilcoxon Signed-Ranks Test. In Exercises...Ch. 13.3 - Using the Wilcoxon Signed-Ranks Test. In Exercises...Ch. 13.3 - Using the Wilcoxon Signed-Ranks Test. In Exercises...Ch. 13.3 - Using the Wilcoxon Signed-Ranks Test. In Exercises...Ch. 13.3 - Prob. 9BSCCh. 13.3 - Prob. 10BSCCh. 13.3 - Prob. 11BSCCh. 13.3 - Prob. 12BSCCh. 13.3 - Rank Sums Exercise 12 uses Data Set 23 Old...Ch. 13.4 - Prob. 1BSCCh. 13.4 - Rank Sum After ranking the combined list of...Ch. 13.4 - Prob. 3BSCCh. 13.4 - Prob. 4BSCCh. 13.4 - Wilcoxon Rank-Sum Test. In Exercises 58, use the...Ch. 13.4 - Wilcoxon Rank-Sum Test. In Exercises 58, use the...Ch. 13.4 - Wilcoxon Rank-Sum Test. In Exercises 58, use the...Ch. 13.4 - Wilcoxon Rank-Sum Test. In Exercises 58, use the...Ch. 13.4 - Prob. 9BSCCh. 13.4 - Appendix B Data Sets. In Exercises 912, refer to...Ch. 13.4 - Appendix B Data Sets. In Exercises 912, refer to...Ch. 13.4 - Appendix B Data Sets. In Exercises 912, refer to...Ch. 13.4 - Prob. 13BBCh. 13.4 - Finding Critical Values Assume that we have two...Ch. 13.5 - Prob. 1BSCCh. 13.5 - Requirements Assume that we want to use the data...Ch. 13.5 - Notation For the data given in Exercise 1,...Ch. 13.5 - Efficiency Refer to Table 13-2 on page 600 and...Ch. 13.5 - Prob. 5BSCCh. 13.5 - Prob. 6BSCCh. 13.5 - Prob. 7BSCCh. 13.5 - Prob. 8BSCCh. 13.5 - Appendix B Data Sets. In Exercises 912, use the...Ch. 13.5 - Prob. 10BSCCh. 13.5 - Appendix B Data Sets. In Exercises 912, use the...Ch. 13.5 - Appendix B Data Sets. In Exercises 912, use the...Ch. 13.5 - Correcting the H Test Statistic for Ties In using...Ch. 13.6 - Regression If the methods of this section are used...Ch. 13.6 - Level of Measurement Which of the levels of...Ch. 13.6 - Notation What do r, rs , and ps denote? Why is the...Ch. 13.6 - Prob. 4BSCCh. 13.6 - In Exercises 5 and 6, use the scatterplot to find...Ch. 13.6 - In Exercises 5 and 6, use the scatterplot to find...Ch. 13.6 - Testing for Rank Correlation. In Exercises 712,...Ch. 13.6 - Prob. 8BSCCh. 13.6 - Testing for Rank Correlation. In Exercises 712,...Ch. 13.6 - Testing for Rank Correlation. In Exercises 712,...Ch. 13.6 - Prob. 11BSCCh. 13.6 - Testing for Rank Correlation. In Exercises 712,...Ch. 13.6 - Prob. 13BSCCh. 13.6 - Appendix B Data Sets. In Exercises 1316, use the...Ch. 13.6 - Appendix B Data Sets. In Exercises 1316, use the...Ch. 13.6 - Prob. 16BSCCh. 13.6 - Prob. 17BBCh. 13.7 - In Exercises 14, use the following sequence of...Ch. 13.7 - Prob. 2BSCCh. 13.7 - Prob. 3BSCCh. 13.7 - Prob. 4BSCCh. 13.7 - Using the Runs Test for Randomness. In Exercises...Ch. 13.7 - Prob. 6BSCCh. 13.7 - Prob. 7BSCCh. 13.7 - Using the Runs Test for Randomness. In Exercises...Ch. 13.7 - Prob. 9BSCCh. 13.7 - Prob. 10BSCCh. 13.7 - Runs Test with Large Samples. In Exercises 912,...Ch. 13.7 - Prob. 12BSCCh. 13 - Prob. 1CQQCh. 13 - Prob. 2CQQCh. 13 - Prob. 3CQQCh. 13 - Prob. 4CQQCh. 13 - Prob. 5CQQCh. 13 - Prob. 6CQQCh. 13 - Prob. 7CQQCh. 13 - Prob. 8CQQCh. 13 - Prob. 9CQQCh. 13 - Which Test? Three different judges give the same...Ch. 13 - Prob. 1RECh. 13 - Using Nonparametric Tests. In Exercises 110, use a...Ch. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Using Nonparametric Tests. In Exercises 110, use a...Ch. 13 - Prob. 8RECh. 13 - Using Nonparametric Tests. In Exercises 1-10, use...Ch. 13 - Prob. 10RECh. 13 - Prob. 1CRECh. 13 - Prob. 2CRECh. 13 - In Exercises 13, use the data listed below. The...Ch. 13 - Prob. 4CRECh. 13 - Prob. 5CRECh. 13 - Prob. 6CRECh. 13 - Prob. 7CRECh. 13 - Prob. 8CRECh. 13 - Fear of Heights Among readers of a USA Today...Ch. 13 - Cell Phones and Crashes: Analyzing Newspaper...Ch. 13 - Prob. 1TPCh. 13 - Prob. 1FDD
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