Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 515 and standard deviation 114. You choose an SRS of 100 students and average their SAT Math scores. Suppose that you do this many, many times. Which of the following are the mean and standard deviation of the sampling distribution of
x¯¯¯?
(a) Mean = 515, SD = 114
(b) Mean = 515,
SD=114/100−−−√
(c) Mean = 515/100, SD = 114/100
(d) Mean = 515/100,
SD=114//1–√00