1. An automobile manufacturer wants to know what percentage of its customers are dissatisfied with the performance of their newly - purchased vehicle . (a) Name the procedure we have learned best suited for determining the answer to this question (b) Without any real estimate of the answer to this question, how many customers should be polled so that we are 95 % sure our answer is within 3% of the correct one ? (e) A random sample of 252 customers : yields 53 who are dissatisfied . Construct a 95% CI for the appropriate population parameter What population parameter is this? Just what are we 95 % sure about ? (d) Given the number of things that affect customer satisfaction and are out of the manufac turer's control , it has been determined that 85 % customer satisfaction is an acceptable figure . Does the sample data of part (e) provide convincing evidence that customer satisfaction is at unacceptable low levels? 2. After studying a sample of 500 students at State University, a research investigating the study habits of college students concludes that college students study an average of 10.25 hours, give or take 1.5 hours, per week during the academic year. (a) Which type of statistical inferential procedure was likely used to determine this figure? (b) Can you see any potential problems in the conclusion the researcher drew? 3. To see if there is a significant difference in grades given in English 100 and Religion 103, 20 students who had taken both courses the first semester of their freshman year were randomly selected and their grades were recorded . Their grades are (a) Name the procedure we have learned best suited for determining the answer to this question (b) State the null and alternative hypotheses. (e) For each student in the sample, the difference in grade is taken by subtracting the religion grade from the english one . The average of these differences is 0.17 with standard deviation 0.32. Determine the P-value associated with this sample mean under the null hypothesis. Is the evidence significant at the 1% level to reject H? 4. A random sample of 54 aircraft air -conditioning units in for repair is selected and monitored to see the number of hours of use before another repair is needed . Here is a histogram of the data