Appendix B Data Sets.Refer to the sample data for the

Problem 1BSC Wilcoxon Signed-Ranks Test for Freshman 15?The following table lists some of the weights from Data Set 4 in Appendix B. Those weights were measured from college students in September and later in April of their freshman year. Assume that we plan to use the Wilcoxon signed-ranks test to test the claim of no difference between September weights and April weights. What requirements must be satisfied for this test? Is there any requirement that the populations must have a normal distribution or any other specific distribution? In what sense is this Wilcoxon signed-ranks test a “distribution-free test”?

Problem 2BSC Freshman 15?For the matched pairs listed in Exercise,identify the following components used in the Wilcoxon signed-ranks test: a.?Differences?d b.?The ranks corresponding to the nonzero values of |d? | c.?The signed ranks d.?The sum of the positive ranks and the sum of the absolute values of the negative ranks e.?The value of?T f.?The critical value of?T?(assuming a 0.05 significance level in a test of no difference between September weights and April weights) Exercise Wilcoxon Signed-Ranks Test for Freshman 15?The following table lists some of the weights from Data Set 4 in Appendix B. Those weights were measured from college students in September and later in April of their freshman year. Assume that we plan to use the Wilcoxon signed-ranks test to test the claim of no difference between September weights and April weights. What requirements must be satisfied for this test? Is there any requirement that the populations must have a normal distribution or any other specific distribution? In what sense is this Wilcoxon signed-ranks test a “distribution-free test”?

Problem 3BSC Sign Test vs. Wilcoxon Signed-Ranks TestUsing the data in Exercise, we can test for no difference between September weights and April weights by using the sign test or the Wilcoxon signed-ranks test. In what sense does the Wilcoxon signed-ranks test incorporate and use more information than the sign test? Exercise Wilcoxon Signed-Ranks Test for Freshman 15The following table lists some of the weights from Data Set 4 in Appendix B. Those weights were measured from college students in September and later in April of their freshman year. Assume that we plan to use the Wilcoxon signed-ranks test to test the claim of no difference between September weights and April weights. What requirements must be satisfied for this test? Is there any requirement that the populations must have a normal distribution or any other specific distribution? In what sense is this Wilcoxon signed-ranks test a “distribution-free test”?

Problem 4BSC Efficiency of the Wilcoxon Signed-Ranks TestRefer to Table 13-2 in Section 13-1 and identify the efficiency of the Wilcoxon signed-ranks test. What does that value tell us about the test?

Problem 6BSC Using the Wilcoxon Signed-Ranks Test.?Refer to the sample data for the given exercises .Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Use a 0.05 significance level. Exercise Use the sign test for the data consisting of matched pairs. Flight Data Repeat Example 2 using the following times for American Airlines Flight 19.

Problem 7BSC Using the Wilcoxon Signed-Ranks Test.?Refer to the sample data for the given exercise .Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Use a 0.05 significance level. Exercise Use the sign test for the data consisting of matched pairs. Heights of Presidents Refer to Data Set 12 in Appendix B and use the heights of U.S. presidents and their main opponents in the presidential campaigns to test the claim that there is no difference. Use a 0.05 significance level.

Problem 9BSC Appendix B Data Sets.?Refer to the sample data for the given exercise. Use the Wilcoxon signed-ranks test for the claim about the median of a population. Exercise Refer to the indicated data set in Appendix B and use the sign test for the claim about the median of a population. Testing for Median Weight of Quarters Refer to Data Set 21 in Appendix B for the weights (g) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 g. Use a 0.01 significance level to test the claim that the median is equal to 5.670 g. Do quarters appear to be minted according to specifications?

Problem 10BSC Appendix B Data Sets.?Refer to the sample data for the given exercise. Use the Wilcoxon signed-ranks test for the claim about the median of a population. Exercise Refer to the indicated data set in Appendix B and use the sign test for the claim about the median of a population. Earthquake Magnitudes Refer to Data Set 16 in Appendix B for the earthquake magnitudes. Use a 0.01 significance level to test the claim that the median is equal to 1.00.

Problem 11BSC Appendix B Data Sets.?Refer to the sample data for the given exercise. Use the Wilcoxon signed-ranks test for the claim about the median of a population. Exercise Refer to the indicated data set in Appendix B and use the sign test for the claim about the median of a population. Coke Contents Refer to Data Set 19 in Appendix B for the amounts (in oz) in cans of regular Coke. The cans are labeled to indicate that the contents are 12 oz of Coke. Use a 0.05 significance level to test the claim that cans of Coke are filled so that the median amount is 12 oz. If the median is not 12 oz, are consumers being cheated?

Wilcoxon Signed­Ranks Test for Freshman 15 The following table lists some of the weights from Data Set 4 in Appendix B. Those weights were measured from college students in September and later in April of their freshman year. Assume that we plan to use the Wilcoxon signed­-ranks test to test the claim of no difference between September weights and April weights. What requirements must be satisfied for this test? Is there any requirement that the populations must have a normal distribution or any other specific distribution? In what sense is this Wilcoxon signed­-ranks test a “distribution­-free test”?

Freshman 15 For the matched pairs listed in Exercise 1, identify the following components used in the Wilcoxon signed-­ranks test: a. Differences d b. The ranks corresponding to the nonzero values of | d | c. The signed ranks d. The sum of the positive ranks and the sum of the absolute values of the negative ranks e. The value of T f. The critical value of T (assuming a 0.05 significance level in a test of no difference between September weights and April weights)

Sign Test vs. Wilcoxon Signed­-Ranks Test Using the data in Exercise 1, we can test for no difference between September weights and April weights by using the sign test or the Wilcoxon signed-ranks test. In what sense does the Wilcoxon signed-­ranks test incorporate and use more information than the sign test?

Problem 4BSC Efficiency of the Wilcoxon Signed-Ranks TestRefer to Table 13-2 in Section 13-1 and identify the efficiency of the Wilcoxon signed-ranks test. What does that value tell us about the test?

Using the Wilcoxon Signed­Ranks Test. In Exercises 5–8, refer to the sample data for the given exercises in Section 13­ 2. Use the Wilcoxon signed-­ranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Use a 0.05 significance level. Exercise 9

Using the Wilcoxon Signed­Ranks Test. In Exercises 5–8, refer to the sample data for the given exercises in Section 13­ 2. Use the Wilcoxon signed-­ranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Use a 0.05 significance level. Exercise 10

Problem 7BSC Using the Wilcoxon Signed-Ranks Test.Refer to the sample data for the given exercise .Use the Wilcoxon signed-ranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Use a 0.05 significance level. Exercise Use the sign test for the data consisting of matched pairs. Heights of Presidents Refer to Data Set 12 in Appendix B and use the heights of U.S. presidents and their main opponents in the presidential campaigns to test the claim that there is no difference. Use a 0.05 significance level.

Using the Wilcoxon Signed­Ranks Test. In Exercises 5–8, refer to the sample data for the given exercises in Section 13­ 2. Use the Wilcoxon signed-­ranks test to test the claim that the matched pairs have differences that come from a population with a median equal to zero. Use a 0.05 significance level. Exercise 12

Problem 9BSC Appendix B Data Sets.Refer to the sample data for the given exercise. Use the Wilcoxon signed-ranks test for the claim about the median of a population. Exercise Refer to the indicated data set in Appendix B and use the sign test for the claim about the median of a population. Testing for Median Weight of Quarters Refer to Data Set 21 in Appendix B for the weights (g) of randomly selected quarters that were minted after 1964. The quarters are supposed to have a median weight of 5.670 g. Use a 0.01 significance level to test the claim that the median is equal to 5.670 g. Do quarters appear to be minted according to specifications?

Problem 10BSC Appendix B Data Sets.Refer to the sample data for the given exercise. Use the Wilcoxon signed-ranks test for the claim about the median of a population. Exercise Refer to the indicated data set in Appendix B and use the sign test for the claim about the median of a population. Earthquake Magnitudes Refer to Data Set 16 in Appendix B for the earthquake magnitudes. Use a 0.01 significance level to test the claim that the median is equal to 1.00.

Problem 12BB Rank Sums a.If we have sample paired data with 75 nonzero differences, what are the smallest and largest possible values of 77 ________________ b.If we have sample paired data with 75 nonzero differences, what is the expected value ofTif the population consists of matched pairs with differences having a median of 0? ________________ c.If we have sample paired data with 75 nonzero differences and the sum of the positive ranks is 850, find the absolute value of the sum of the negative ranks. ________________ d.If we have sample paired data withnnonzero differences and one of the two rank sums isk,find an expression for the other rank sum.