In a survey of 485 potential jurors, one study found that 350 were regular watchers of at least one crime-scene forensics television series. A USE SALT (a) Assuming that it is reasonable to regard this sample of 485 potential jurors as representative of potential jurors in the United States, use the given information to construct a 95% confidence interval for the true proportion of potential jurors who regularly watch at least one crime-scene investigation series. (Use Table 3 in Appendix A. Give the answer to three decimal places.) (b) Would a 99% confidence interval be wider or narrower than the 95% confidence interval from Part (a)? O narrower O wider
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- A sample of 30 commuters in the New York City area yielded the following commute times in minutes: 45 25 26 27 34 56 44 36 50 32 28 48 25 40 35 36 46 28 30 28 30 24 50 32 32 27 29 27 22 40 a) Find a 90% confidence interval for the mean commute time of all commuters in New York City. (Note: ) b) Interpret your answer to part (a).University personnel are concerned about the sleeping habits of students and the negative impact on academic performance. In a random sample of 377 U.S. college students, 209 students reported experiencing excessive daytime sleepiness (EDS). Is there sufficient evidence to conclude that more than half of U.S. college students experience EDS? Use a 5% level of significance STATE: What is a 90% confidence interval estimate for the proportion of all of U.S. college students who experience excessive daytime sleepiness? PLAN: State the name of the appropriate estimation procedure (e.g. one-sample t confidence interval for estimating the mean difference) Note: You have already described the parameter being estimated in Part A, so you don't have to repeat it here.A school director has proposed that all verbal discussions must be accompanied by video lectures to enhance the knowledge and skills of the students. In order to check if the proposal is effective, a random sample of 13 students is subjected for an experiment. They were given a 200-item quiz after a discussion with no video lecture, and another quiz of equal number of items after showing a video lecture. The scores are presented in the table below. Construct a 99% confidence interval for the difference between the samples. Disregarding the external factors, is the proposal going to be effective? Why or why not? Before 152 127 86 141 102 97 100 89 96 102 113 125 109 After 143 138 100 145 116 104 84 97 124 110 91 106 104
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