Populations shifts in a certain city follow a particular pattern every year. If a person is living in the city they will stay in the city 0% of the time, move to the suburbs 50% of the time, and move out-of-state 50% of the time. If a person is living in the suburbs, they will move into the city 20% of the time, stay in the suburbs 30% of the time, and move out-of-state 50% of the time. If the person lives out-of-state, they will move to the city 10% of the time, move to the suburbs 80% of the time, and stay out-of state 10% of the time. In the long-run, what is the probability that a person will live out-of-state?

A professor has a class with five recitation sections. Each section has 18 students. The question is whether or not the average test score is significantly different for any of the sections. Group-1 Group-2 Group-3 Group-4 Group-5 83.7 84.3 56.6 67.5 60.7 80.8 77.1 83 71.9 80.2 91.3 72.4 77.4 70.5 57.3 80.1 74.4 79.2 79 68.7 93.3 71.9 73 81.8 70 78.1 73.7 74.5 62.8 64.5 76.5 69.7 81.4 75.1 63.1 68.2 72 75.2 83.7 65.5 62.8 71 79.3 85.4 67.6 76.5 73.1 74.5 81.5 67.1 79.2 67.9 74.9 86.7 72.2 62.1 78.7 84.8 63.4 80.8 86.7 97.2 66.8 79.3 68.2 79 74.6 66.4 75.9 67.7 79.1 82.3 69.3 70.3 68.2 71.1 62.2 53.3 71.1 58 61.8 68.9 82.7 60.2 73 70.7 83.2 61.9 64.6 49.5 Conduct a test to determine if the group means are equal using α=0.02α=0.02.  Summary statistics:F-ratio (F-test statistics) =      p-value =     (report accurate to at least 4 decimal places)What is the measure of effect size ω2ω2 ? This is on the Excel sheet and is also a measure of the…

This semester, we have talked about creating random samples as well as desirable qualities of random samples. Other than randomness, one quality of random samples that we have talked about is representation. Using your knowledge of that concept, consider this problem. At a college, 29% of the students are in their first year, 27% are in their second year, 25% in their third, and 19% in their fourth. You take a survey of students and when you classify them by year of study, you have 49, 70, 56, and 25 students in their first, second, third, and fourth years respectively. The table below highlights this information. Year of School First Second Third Fourth Total College Percents Sample Counts Expected Counts 27% 70 25% 56 29% 19% 49 25 200 58 54 50 38 Under the assumption that we think the college enrollment percentages should match our sample, and that therefore our sample represents the college: a) What would the critical value be? (use a = 0.05) b) Find the test statistic to test (c)…

Mateo believes that completely cutting caffeine out of a person's diet will allow them more restful sleep at night. He randomly selects 8 adults to help him test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days and then cut back to no caffeinated bevarages for an additional 28 days. During each period, the participants record the number of nights of restful sleep that they had. The following table gives the results of the study. Test Mateo's claim at the 0.05 level of significance. Give answers to 4 decimal places as needed. Number of Nights of Restful Sleep in a Four-Week Period 15 With Caffeine 21 20 22 24 18 21 24 20 26 26 22 21 23 27 23 Without Caffeine a) The normal probability plot showed the differences follow a normal distribution and the boxplot showed no outliers. b) Test the claim (1) Determine the null and alternative hypotheses. Enter correct symbol and values Ho: H₁: (2) Type of test: (3) a = (4) Test statistic (to) = p-value =…

You randomly recruit 23 students and tell each of them to come to the lab in two different mornings: each morning they will be offered some breakfast and will take a test. Each student will receive the light breakfast one time and the nutritious breakfast the other time (some will receive the light breakfast first, the others will receive the nutritious breakfast first, and the second time they switch). The average difference in a student’s score after eating the nutritious breakfast and their score after eating a light breakfast is 4.5, and the standard deviation of this difference is 3.6. (a)  Construct a 95% confidence interval for the difference in the average score of students after having a nutritious breakfast and the average score of students after having a light breakfast.