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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

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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. dent 1 2 3 4 5 6 7 8 9 10 11 12 13 14 ading Time mprehension 5 7 15 12 8 7 10 11 9 13 10 60 76 76 90 81 11 8 75 95 98 88 73 90 66 91 83 6 15 16 17 18 19 20 n y 10 8 7 6 11 8 20 9.10 2.573 100 85 76 69 91 78 20 82.05 10.88 S 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).

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