Bluman A.G. Elementary Statistics- A Step By Step Approach

680 Chapter 13 Nonparametric Statistics1. What is the claim?2. What test would you use to test the claim? Why?3. What would the hypotheses be?4. Select a value for a and find the corresponding critical value.5. What is the test value?6. What is your decision?7. Summarize the results.8. Could a parametric test be used?See page 717 for the answers.Exercises 13–21. Why is the sign test the simplest nonparametric testto use? The sign test uses only positive or negative signs.2. What population parameter can be tested with thesign test? The median3. In the sign test, what is used as the test value whenn 26? The smaller number of positive or negative signs4. When n 26, what is used in place of Table J for thesign test? The normal approximationFor Exercises 5 through 20, perform these steps.a. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.e. Summarize the results.Use the traditional method of hypothesis testing unlessotherwise specified.5. Ages When Married The median age at first marriagefor men in the United States in 2008 was 27.6 years.Alumni officers at a large university contacted recentnewlyweds to see if their median age was different.Their ages (in years) at marriage are listed below.At a 0.05 can it be concluded that the median agefor these alumni is different?31.8 39.9 34.1 22.929.2 33.9 34.0 36.933.8 36.2 26.1 35.123.1 25.2 32.6 26.36. Game Attendance An athletic director suggeststhe median number for the paid attendance at 20 localfootball games is 3000. The data for a sample areshown. At a 0.05, is there enough evidence to rejectthe claim? If you were printing the programs for thegames, would you use this figure as a guide?6210 3150 2700 3012 48753540 6127 2581 2642 25732792 2800 2500 3700 60305437 2758 3490 2851 2720Source: Pittsburgh Post Gazette.7. Cyber School Enrollment An educatorhypothesizes that the median of the number ofstudents enrolled in cyber schools in school districtsin southwestern Pennsylvania is 25. At a 0.05, is thereenough evidence to reject the educator’s claim? The dataare shown here. What benefit would this informationprovide to the school board of a local school district?12 41 26 14 438 27 27 9 1117 11 66 5 148 35 16 25 17Source: Pittsburgh Tribune-Review.8. Weekly Earnings of Women According to the Women’sBureau of the U.S. Department of Labor, the occupationwith the highest median weekly earnings among womenis pharmacist with median weekly earnings of $1603.Based on the weekly earnings listed below from a sampleof female pharmacists, can it be concluded that themedian is less than $1603? Use a 0.05.1550 1355 17771430 1570 17012465 1655 14841429 1829 18121217 1501 14499. Natural Gas Costs For a specific year, the medianprice of natural gas was $10.86 per 1000 cubic feet. Aresearcher wishes to see if there is enough evidence toreject the claim. Out of 42 households, 18 paid less than$10.86 per 1000 cubic feet for natural gas. Test theclaim at a 0.05. How could a prospective home buyeruse this information?Source: Based on information from the Energy Information Administration.13–10