T8.11. The U.S. Forest Service is considering additional restrictions on the number of vehicles allowed to enter Yellowstone National Park. To assess public reaction, the service asks a random sample of 150 visitors if they favor the proposal. Of these, 89 say "Yes." (a) Construct and interpret a 99% confidence interval for the proportion of all visitors to Yellowstone who favor the restrictions. (b) Based on your work in part (a), can the U.S. Forest Service conclude that more than half of visitors to Yellow- stone National Park favor the proposal? Justify your answer.

(c)  Suppose that after looking at the data the researcher decided to test the research questions listed below. Conduct the appropriate tests to answer these questions. Report and fully interpret the results of each test conducted. On average: (iv)  Do Asian students score significantly higher/lower than White students in Reading? race: 1 - hispanic, 2 - asian, 3 - black, 4 - white   race RDG 1 34 1 47 1 42 1 39 1 36 1 50 1 63 1 44 1 47 1 44 1 50 1 44 1 47 1 42 1 42 1 47 1 60 1 39 1 57 1 73 1 47 1 39 1 35 1 39 1 48 1 31 1 52 1 47 1 36 1 47 1 34 1 52 1 42 1 37 1 44 1 71 1 47 1 42 1 42 1 47 1 52 1 52 1 39 1 31 1 60 1 47 1 39 1 42 1 47 1 42 1 36 1 50 1 34 1 55 1 28 1 42 1 44 1 60 1 39 1 36 1 44 1 39 1 39 1 42 1 42 2 52 2 65 2 42 2 47 2 52 2 44 2 52 2 47 2 65 2 63 2 60 2 47 2 65 2 53 2 68 2 55 2 39 2 52 2 65 2 52 2 57…

A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…