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

Given Information: First sample: Sample size n1=110 Sample mean x¯1=15 Sample standard deviation…

Answered: 8. Abdul wishes to investigate whether…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A psychologist has designed an index to measure the social perspectives of elementary school children. The index is based on ratings of a child’s responses to questions about a set of photographs showing different social situations. The following are the indices measured on a random sample of 16 children attending elementary school in a particular district. 48, 75, 69, 58, 60, 68, 59, 66, 71, 52, 49, 60, 54, 55, 70, 57 For the data the mean index is 60.69 and the standard deviation is 8.26. Perform a statistical test to determine if the population mean index is greater than 50. a) Name of hypothesis test: b) H0: c) HA: d) Test Statistic: e) Rejection region: f) Decision in the context of the problem:
Create and fill in a table with columns for (1) bin, (2) absolute frequency, and (3) relative frequency. Draw a histogram of the relative frequency distribution of Commuting Time in your sample. How would you characterize the shape of your histogram (e.g. uniform, symmetric, etc.)?
The ages of the 5 officers for a school club are 18, 18, 17, 16, and 15. The median of the ages of the officers is 17.0. The table displays all possible samples of size 2 and the corresponding median for each sample. Using the medians in the table, is the sample median an unbiased estimator? Yes, 50% of the sample medians are 17 or more, and 50% are below. Yes, the mean of the sample medians is 16.8, which is the same as the mean age of the officers. No, the mean of the sample medians is 16.8, which is not the same as the median age of the officers. No, the median of the sample medians is 16.75, which is not the same as the median age of the officers.
An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses suspects that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint. To test this, she selects 205 Fundash runners and 300 Coolsprint runners. (Consider these as random samples of the Fundash and Coolspring runners.) The 205 Fundash runners complete the course with a mean time of 76.7 minutes and a standard deviation of 5.3 minutes. The 300 Coolsprint runners complete the course with a mean time of 77.5 minutes and a standard deviation of 5.1 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, ,, of Fundash is not equal to the mean completion time, μ₂, of Coolsprint? Perform a two-tailed test.…
Problem: The number of misdirected luggage cases reported for 5 consecutive weeks at the domestic airport were: 4, 5, 7, 8, 61. Compute the Mean, Median, Range, Interquartile Range, Variance and Standard deviation.
An adventure company runs two obstacle courses, Fundash and Coolsprint. The designer of the courses suspects that the mean completion time of Fundash is not equal to the mean completion time of Coolsprint. To test this, she selects 250 Fundash runners and 285 Coolsprint runners. (Consider these as random samples of the Fundash and Coolspring runners.) The 250 Fundash runners complete the course with a mean time of 76.7 minutes and a standard deviation of 5.7 minutes. The 285 Coolsprint runners complete the course with a mean time of 77.5 minutes and a standard deviation of 5.6 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, u, of Fundash is not equal to the mean completion time, µa, of Coolsprint? Perform a two-tailed test.…
6. A kinesiologist wanted to examine the effects of temperature and humidity on exercise performance. Each participant was asked to walk on a treadmill at a normal pace for 60 minutes, and the kinesiologist recorded the distance walked (miles). She assigned participants to one of 4 conditions that varied in temperature (normal or high) and humidity (normal or high). Mean distance walked by the four groups are shown in the table below. Assume a = .05 and Tukey HSD = 0.39. Normal temperature High temperature Normal humidity M = 3.00 M = 2.80 High humidity M = 2.80 M = 2.00 Complete the following conclusion: The factorial ANOVA revealed significant main effects of temperature [F (1, 24) = 25.00, p<.05] and humidity [F (1, 24) = 19.65, p<.05] and a significant Temperature x Humidity interaction [F (1, 24) = 9.25, p < .05].
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A psychologist has designed an index to measure the social perspectives of elementary school children. The index is based on ratings of a child’s responses to questions about a set of photographs showing different social situations. The following are the indices measured on a random sample of 16 children attending elementary school in a particular district. 48, 75, 69, 58, 60, 68, 59, 66, 71, 52, 49, 60, 54, 55, 70, 57 For the data the mean index is 60.69 and the standard deviation is 8.26. The confidence interval is 95%, with a level of significance of 0.05. Perform a statistical test to determine if the population mean index is greater than 50. a) Name of hypothesis test: b) H0: c) HA: d) Test Statistic: e) Rejection region: f) Decision in the context of the problem:
Department of Education was analysing the average mathematics test score in the schools in Victoria. It noticed that there were dramatic differences in scores among the schools. In the attempt to improve the scores of all the schools, department attempted to determine the factors that account for the differences. Accordingly, they took a random sample of 40 schools across the state and for each determined the mean test score last year, the percentage of teachers in the schools who have at least one university degree in mathematics, the mean age and the mean annual income of the mathematics teachers. The following is regression output from Excel. SUMMARY OUTPUT Regression Statistics Multiple R 0.597512 R Square 0.357021 Adjusted R Square 0.303439 Standard Error 7.724526 Observations 40 ANOVA df SS MS F Significance F…
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The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce servings (Coca-Cola Company website, February 3, 2009). Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola's corporate headquarters. A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight-ounce servings with a standard deviation of s=101.9. Answer questions 8-10.

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