Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 13.4, Problem 6BSC
Wilcoxon Rank-Sum Test. In Exercises 5–8, use the Wilcoxon rank-sum test.
6. Radiation in Baby Teeth Listed below are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from Pennsylvania residents and New York residents born after 1979 (based on data from “An Unexpected Rise in Strontium-90 in U.S. Deciduous Teeth in the 1990s,” by Mangano et al., Science of the Total Environment). Use a 0.05 significance level to test the claim that the median amount of strontium-90 from Pennsylvania residents is the same as the median from New York residents.
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STAT 3128
Homeowrk Section
Question 1. Let u denote the true average radioactivity level (picocuries per liter). The
value 5 pci/L is considered the dividing line between safe and unsafe water. Would you
recommend testing Ho: μ = 5 versus Ha: > 5 or Ho μ = 5 versus Ha: μ 5. A type II error in this case involves
deciding the water is safe when it isn't. This is a very serious error, so a test which ensures
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II error because it can be explicitly controlled.
One should test Ho: μ = 5 versus Ha> 5. A type I error in this case involves deciding
the water is safe when it isn't. This is a very serious error, so a test which ensures that this
error is highly unlikely is desirable. We prefer that the most serious error be a type I error
because it can be explicitly controlled.
Random collections of nine different solutions of a calcium compound were given to two laboratories, A and B. Each laboratory measured the calcium content (in mmol per liter) and reported the results. The data are paired by calcium compound.
Compound
1
2
3
4
5
6
7
8
9
Lab A (x)
12.35
9.83
10.79
11.31
8.58
13.69
14.68
15.07
11.57
Lab B (y)
12.18
9.72
10.70
11.51
8.63
13.58
14.71
15.24
11.57
(a) Rank-order the data using 1 for the lowest calcium reading. Make a table of ranks to be used in a Spearman rank correlation test.
Compound
Lab A (x)
Lab B (y)
d = x − y
d2
1
2
3
4
5
6
7
8
9
Σd2 =
(b) Use a 5% level of significance to test for a monotone relation (either way) between ranks. Interpret the results. What is the level of significance?
Compute the sample test statistic. (Round your answer to three decimal places.)
An article in the San Jose Mercury News stated that students in the California state
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5.1 years to complete their Bachelor's degree, with a sample standard deviation of
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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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