8. Abdul wishes to investigate whether there is any difference in the amount of violent crowd behavior that supporters of two soccer teams report having seen in one season. He distributes questionnaires at random to season-ticket holders at United and at City. The mean number of matches at which the sample of 110 United fans remember seeing violent incidents is 15 (s = 4.7). For the sample of 130 City fans, the mean number of such matches is 8 (s = 4.2). a. Can Abdul conclude that there are differences in the amount of violent crowd behavior observed between the two populations of season-ticket holders? Outline all the steps required in the test of statistical significance. Choose an appropriate significance level and calculate the t-test statistic according to the separate variance method. b. Would Abdul's conclusion be any different if he were to use the pooled variance method? c. Which of the two methods is preferred in this case?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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8. Abdul wishes to investigate whether there is any difference in the amount of violent
crowd behavior that supporters of two soccer teams report having seen in one season. He
distributes questionnaires at random to season-ticket holders at United and at City. The
mean number of matches at which the sample of 110 United fans remember seeing
violent incidents is 15 (s = 4.7). For the sample of 130 City fans, the mean number of
such matches is 8 (s = 4.2).
a. Can Abdul conclude that there are differences in the amount of violent crowd
behavior observed between the two populations of season-ticket holders? Outline all
the steps required in the test of statistical significance. Choose an appropriate
significance level and calculate the t-test statistic according to the separate variance
method.
b. Would Abdul's conclusion be any different if he were to use the pooled variance
method?
c. Which of the two methods is preferred in this case?
Transcribed Image Text:8. Abdul wishes to investigate whether there is any difference in the amount of violent crowd behavior that supporters of two soccer teams report having seen in one season. He distributes questionnaires at random to season-ticket holders at United and at City. The mean number of matches at which the sample of 110 United fans remember seeing violent incidents is 15 (s = 4.7). For the sample of 130 City fans, the mean number of such matches is 8 (s = 4.2). a. Can Abdul conclude that there are differences in the amount of violent crowd behavior observed between the two populations of season-ticket holders? Outline all the steps required in the test of statistical significance. Choose an appropriate significance level and calculate the t-test statistic according to the separate variance method. b. Would Abdul's conclusion be any different if he were to use the pooled variance method? c. Which of the two methods is preferred in this case?
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