Advanced Placement (AP)

A small school with 60 total students records how many of their students attend school on each of the 180 days in a school year. The mean number of students in attendance daily is 55 students and the standard deviation is 4 students. Suppose that we take random samples of 5 school days and calculate the mean number of students \bar x x ˉ x, with, \bar, on top in attendance on those days in each sample. Calculate the mean and standard deviation of the sampling distribution of \bar x x ˉ x, with, \bar, on top.

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