Edu. 5.36 The ability to read rapidly and simultaneously maintain a high level of comprehension is often a determining factor in the academic success of many high school students. A school district is considering a supplemental reading program for incoming freshmen. Prior to implementing the program, the school runs a pilot program on a random sample of n = 20 students. The students were thoroughly tested to determine reading speed and reading comprehension. Based on a fixed-length standardized test reading passage, the following reading times (in minutes) and comprehension scores (based on a 100-point scale) were recorded. Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 n y S Reading Time 5 7 15 12 8 7 10 11 9 13 10 6 11 8 10 8 \\7 6 11 8 20 9.10 2.573 Comprehension 60 76 76 90 81 75 95 98 88 73 90 66 91 83 100 85 76 69 91 78 20 82.05 10.88 a. What is the population about which inferences are being made? b. Place a 95% confidence interval on the mean reading time for all incoming fresh- men in the district. c. Plot the reading time using a normal probability plot or boxplot. Do the data appear to be a random sample from a population having a normal distribution? d. Provide an interpretation of the interval estimate in part (b).5.42 A dealer in recycled paper places empty trailers at various sites. The trailers are gradu- ally filled by individuals who bring in old newspapers and magazines and are picked up on several schedules. One such schedule involves pickup every second week. This schedule is desir- able if the average amount of recycled paper is more than 1,600 cubic feet per 2-week period. The dealer's records for 18 2-week periods show the following volumes (in cubic feet) at a particular site: 1,660 1,820 1,590 1,440 1,730 1,680 1,750 1,720 1,900 1,570 1,700 1,900 1,800 1,770 2,010 1,580 1,620 1,690 y = 1,718.3 and s = 137.8 a. Assuming the 18 2-week periods are fairly typical of the volumes throughout the year, is there significant evidence that the average volume / is greater than 1,600 cubic feet? b. Place a 95% confidence interval on u. c. Compute the p-value for the test statistic. Is there strong evidence that / is greater than 1,600