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We wish to determine whether the homicide rate is different in different parts of the country and, if it is different, what is the pattern. We have data on 36 states - 9 each in the four regions Northeast, Midwest, South and West.
Region Homicide rate
Northeast 3.23
Midwest 5.01
South 7.23
West 5.03
An analysis of variance produced the following partial ANOVA table:
Source SS
Between groups 72.40
Within groups 152.11
TOTAL 224.51
Complete the ANOVA table. Show that at 5% we reject the null. Use the Tukey HSD procedure [at 5% level] to determine which means are statistically different from which other of the means. What are your final conclusions?
Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution
Public transportation and the automobile are two methods an employee can use to get to work each day. Samples of times recorded for each method are shown. Times are in minutes.
Bob Billy is an operations analyst for Dollar-Does-It stores based in Iva, SC. He is currently studying the order and stocking policies for top-selling toy.
A safety engineer claims that only 40% of all workers wear safety helmets when they eat lunch at the workplace. Assuming that his claim is right, find the probability that at most 4 out of 6 workers randomly chosen will be wearing their helmets wh..
Construct the 90% confidence interval for the true population proportion of all voters in the state who favor approval.
Table shows the smoking habits of group college students. If student is selected at random, determine the probability of getting someone who is man or a woman.
As it is a 2 × 2 table, try also two-tailed two-sample z test for π 1 = π 2 and verify that z 2 is same as your chi-square statistic. Which test do you prefer? Explain why?
University officials at a major university would like to use three -term moving averages to examine enrollment. Enrollment data (in thousands of students) for the 12 most recent terms are shown in middle column of the table below.
What sample size should be chosen so that there is 0.95 probability of estimating the mean monthly income in $150 or less?
Analyze the data using linear contrasts to make the following comparisons:
If the population standard deviation is σ = 20 is the 6 point effect large enough to be statistically significant? Use the two - tailed test with α = .05
Tavern has budget of $2,000 for beer for Super Bowl Sunday. Betty desires to find out number of gallons of each brand of beer to order so as to maximize profit. Create a linear programming model for this problem.
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