Refer to Exercise 5.38. Using the reading comprehension data, is there significant evidence that the reading program would produce for incoming freshmen a mean comprehension score greater than 80, the statewide average for comparable students during the previous year? Provide bounds on the level of significance for your test. Interpret your findings.
5.38 : 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 increases in comprehension scores (based on a 100-point scale) were recorded.
a. Place a 95% confidence interval on the mean reading time for all incoming freshmen in the district.
b. 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?
c. Provide an interpretation of the interval estimate in part (a).
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