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Chapter 13: Q4BSC (page 597)

In Exercises 1–4, use the following sequence of political party affiliations of recent presidents of the United States, where R represents Republican and D represents Democrat.

R RRR D R D R RR D R RR D D R D D R R D R R D R D

Good Sample? Given the sequence of data, if we fail to reject randomness, does it follow that the sampling method is suitable for statistical methods? Explain.

Short Answer

Expert verified

Yes, it can be said that the sample is good enough as it is a random one and is suitable for statistical methods.

Step by step solution

01

Given information

A sequence of presidents corresponding to their political party affiliations is provided.

Here, the given sequence shows the political party affiliations of some recent US presidents.

02

Random sample

Consider the simple random sampling method. In this method, units are chosen randomly from the population to form a sample.

Since the decision is fail to reject the null hypothesis, it can be said that the given sample is random.

Therefore, the simple random sampling method to obtain a sample of the recent US presidents is appropriate. Thus, the sample is good and can be used for further statistical treatment.

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Most popular questions from this chapter

Using Nonparametric Tests. In Exercises 1–10, use a 0.05 significance level with the indicated test. If no particular test is specified, use the appropriate nonparametric test from this chapter.

Speed Dating Repeat the preceding exercise using the Wilcoxon signed-ranks test.

Foot Length , Height Listed below are foot lengths (cm) and heights (cm) of males from Data Set 2 “Foot and Height” in Appendix B. Which method of nonparametric statistics should be used? What characteristic of the data is investigated with this test?

Foot Length 27.8 25.7 26.7 25.9 26.4 29.2 26.8 28.1 25.4 27.9

Height 180.3 175.3 184.8 177.8 182.3 185.4 180.3 175.3 177.8 185.4

Efficiency of the Wilcoxon Signed-Ranks Test Refer to Table 13-2 on page 600 and identify the efficiency of the Wilcoxon signed-ranks test. What does that value tell us about the test?

Speed Dating Listed on the top of the next page are attribute ratings of males by females who participated in speed dating events (from Data Set 18 “Speed Dating” in Appendix B ). In using the Kruskal-Wallis test, we must rank all of the data combined, and then we must find the sum of the ranks for each sample. Find the sum of the ranks for each of the three samples.

Age 20-22

38

42

30

39

47

43

33

31

32

28

Age 23-26

39

31

36

35

41

45

36

23

36

20

Age 27-29

36

42

35.5

27

37

34

22

47

36

32

Using the Kruskal-Wallis Test. In Exercises 5–8, use the Kruskal-Wallis test.

Speed Dating Use the sample data from Exercise 1 to test the claim that females from the different age brackets give attribute ratings with the same median. Use a 0.05 significance level.
See all solutions

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