Speed Dating Some of the nonparametric methods in this chapter use ranks of data. Find the ranks corresponding to these attractiveness ratings (1 = not attractive; 10 = extremely attractive) of males by females who participated in a speed dating event (from Data Set 18 “Speed Dating”):

5, 7, 7, 8, 7.

Short Answer

Expert verified

The ranks of the given fivevalues of ratings are tabulated below:

Ratings

5

7

7

7

8

Ranks

1

3

3

3

5

Step by step solution

01

Given information

The provided data deals with attractiveness ratings of males by females who participated in a speed dating event.

02

Assign the ranks

Arrange the values in ascending order along with the serial number.

Ratings

5

7

7

7

8

Serial number

1

2

3

4

5

The rank of value 5 is equal to 1.

Here, 7 occurs thrice and occupies the positions.

The rank of value of 7 is computed as follows:

\(\begin{array}{c}Ran{k_7} = \frac{{2 + 3 + 4}}{3}\\ = 3\end{array}\)

The ranks of the three 7s areequal to 3.

The rank of value 8 becomes 5.

The following table summarizes the ranks:

Ratings

5

7

7

7

8

Ranks

1

3

3

3

5

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

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.

World Series The last 110 baseball World Series ended with 63 wins by American League teams and 47 wins by National League teams. Use the sign test to test the claim that in each World Series, the American League team has a 0.5 probability of winning.

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

Arsenic in Rice Listed below are amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.01 significance level to test the claim that the three samples are from populations with the same median.

Arkansas

4.8

4.9

5

5.4

5.4

5.4

5.6

5.6

5.6

5.9

6

6.1

California

1.5

3.7

4

4.5

4.9

5.1

5.3

5.4

5.4

5.5

5.6

5.6

Texas

5.6

5.8

6.6

6.9

6.9

6.9

7.1

7.3

7.5

7.6

7.7

7.7

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.

Old Faithful Listed below are time intervals (min) between eruptions of the Old Faithful geyser. The “recent” times are within the past few years, and the “past” times are from 1995. Test the claim that the two samples are from populations with the same median. Does the conclusion change with a 0.01 significance level?

Recent

78

91

89

79

57

100

62

87

70

88

82

83

56

81

74

102

61

Past(1995)

89

88

97

98

64

85

85

96

87

95

90

95






Using the Wilcoxon Signed-Ranks Test. In Exercises 5–8, refer to the sample data for the given exercises in Section 13-2 on page 611. 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 6 “Speed Dating: Attractiveness”

Ages of Best Actresses and Best Actors Listed below are ages of Best Actresses and Best Actors at the times they won Oscars (from Data Set 14 “Oscar Winner Age” in Appendix B). Do these data suggest that there is a correlation between ages of Best Actresses and Best Actors?

Actress

61

32

33

45

29

62

22

44

54

Actor

45

50

48

60

50

39

55

44

33

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free