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5. The Math Activity Centre (MAC) provides one-to-one tutoring to Math and Statistics students. The tutoring is provided mainly by instructors of our department.
5. The Math Activity Centre (MAC) provides one-to-one tutoring to Math and Statistics students. The tutoring is provided mainly by instructors of our department. An instructor tutors for six hours per week in the MAC and this is considered by college officials as being equivalent to teaching a class in Math or Statistics. Ten years ago, there was an average of 35 students per day who visited the MAC. I would like to know (just out of curiosity) if these days, there is a greater usage of this service. I selected a SRS of 64 days over the last two years and I found the mean number of visitors per day to be 38.2. (Assume that the SD of the daily number of visitors to the MAC is 15.5.) a) What is the parameter of interest? b) What conclusion may I draw? Justify your answer by interpreting the p-value of the appropriate test statistic. (Answer: p-value = .0495) c) Estimate the parameter with 88% confidence, and interpret it. (Answer: (35, 41))
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