Nonparametric Statistical Methods Questions
Order ID 53563633773 Type Essay Writer Level Masters Style APA Sources/References 4 Perfect Number of Pages to Order 5-10 Pages Description/Paper Instructions
Question Description
Complete the following problems using R and/or MS Excel. Be sure to show your work and include the hypothesis tests, the critical values, the computed test values, and the resulting decisions where applicable.Section 13-2
Perform these steps:State the hypotheses and identify the claim.
Find the critical value(s).
Compute the test value.
Make the decision.
Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified. Assume all assumptions are met.Game Attendance An athletic director suggests the median number for the paid attendance at 20 local football games is 3000. The data for a random sample are shown. At ? = 0.05, is there enough evidence to reject the claim? If you were printing the programs for the games, would you use this figure as a guide?
62103150
2700
3012
4875
3540
6127
2581
2642
2573
2792
2800
2500
3700
6030
5437
2758
3490
2851
2720
Source: Pittsburgh Post Gazette.
Lottery Ticket Sales A lottery outlet owner hypothesizes that she sells 200 lottery tickets a day. She randomly sampled 40 days and found that on 15 days she sold fewer than 200 tickets. At ? = 0.05, is there sufficient evidence to conclude that the median is below 200 tickets?
Section 13-3
Use the Wilcoxon rank sum test. Assume that the samples are independent. Also perform each of these steps.State the hypotheses and identify the claim.
Find the critical value.
Compute the test value.
Make the decision.
Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified. Assume all assumptions are valid.Lengths of Prison Sentences A random sample of men and women in prison was asked to give the length of sentence each received for a certain type of crime. At ? = 0.05, test the claim that there is no difference in the sentence received by each gender. The data (in months) are shown here.
Males8
12
6
14
22
27
32
24
26
Females
7
5
2
3
21
26
30
9
4
Males
19
15
13
Females
17
23
12
11
16
Source: Based on information from the National Highway Traffic Safety Administration.
Winning Baseball Games For the years 19701993 the National League (NL) and the American League (AL) (major league baseball) were each divided into two divisions: East and West. Below are random samples of the number of games won by each leagues Eastern Division. At ? = 0.05, is there sufficient evidence to conclude a difference in the number of wins?
NL89
96
88
101
90
91
92
96
108
100
95
AL
108
86
91
97
100
102
95
104
95
89
88
101
Source: World Almanac.
Section 13-4
Use Table K to determine whether the null hypothesis should be rejected.ws= 13, n = 15, ? = 0.01, two-tailed
ws= 32, n = 28, ? = 0.025, one-tailed
ws= 65, n = 20, ? = 0.05, one-tailed
ws= 22, n = 14, ? = 0.10, two-tailed
Section 13-5
Use the Kruskal-Wallis test and perform these steps.State the hypotheses and identify the claim.
Find the critical value.
Compute the test value.
Make the decision.
Summarize the results.
Mathematics Literacy Scores Through the Organization for Economic Cooperation and Development (OECD), 15-year-olds are tested in member countries in mathematics, reading, and science literacy. Listed are randomly selected total mathematics literacy scores (i.e., both genders) for selected countries in different parts of the world. Test, using the Kruskal-Wallis test, to see if there is a difference in means at ? = 0.05.
Western HemisphereEurope
Eastern Asia
527
520
523
406
510
547
474
513
547
381
548
391
411
496
549
Source: www.nces.ed.gov (????????)
Section 13-6
Perform these steps.Find the Spearman rank correlation coefficient.
State the hypotheses.
Find the critical value. Use ? = 0.05.
Make the decision.
Summarize the results.
Subway and Commuter Rail Passengers Six cities are randomly selected, and the number of daily passenger trips (in thousands) for subways and commuter rail service is obtained. At ? = 0.05, is there a relationship between the variables? Suggest one reason why the transportation authority might use the results of this study.
City1
2
3
4
5
6
Subway
845
494
425
313
108
41
Rail
39
291
142
103
33
38
Source: American Public Transportation Association.
Section 14-3
Use random numbers to simulate the experiments. The number in parentheses is the number of times the experiment should be repeated.Prizes in Caramel Corn Boxes A caramel corn company gives four different prizes, one in each box. They are placed in the boxes at random. Find the average number of boxes a person needs to buy to get all four prizes. (40)
Lottery Winner To win a certain lotto, a person must spell the word big. Sixty percent of the tickets contain the letter b, 30% contain the letter i, and 10% contain the letter g. Find the average number of tickets a person must buy to win the prize. (30)
RUBRIC
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