Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 13.4, Problem 7BSC
Wilcoxon Rank-Sum Test. In Exercises 5–8, use the Wilcoxon rank-sum test.
7. Clinical Trials of Lipitor The sample data below are changes in LDL cholesterol levels in clinical trials of Lipitor (atorvastatin). It was claimed that Lipitor had an effect on LDL cholesterol. (The data are based on results given in a Parke-Davis memo from David G. Orloff, M.D., the medical team leader for clinical trials of Lipitor. Pfizer declined to provide the author with the original data values.) Negative values represent decreases in LDL cholesterol. Use a 0.05 significance level to test the claim that for those treated with 20 mg of Lipitor and those treated with 80 mg of Lipitor, changes in LDL cholesterol have the same
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Students have asked these similar questions
(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 = 0. What level of type II error would you recommend here?
Round your answer to four decimal places (e.g. 98.7654). Use a
= 0.05.
β
= i
What sample size would be required?
Assume the sample sizes are to be equal.…
=
Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ =
15 and n₂ =
15, that x1 = 4.7
and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use
απ 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume
that α = 0.05.
(a) The null hypothesis is
98.7654).
rejected. The P-value is 0.0008
(b) The power is 0.94
. Round your answer to four decimal places (e.g.
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 =
1
. Round your answer to the nearest integer.
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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