At a particular university, students' grades in introductory statistic classes are generally unimodal and skewed to the left with a mean of u = 63 and a standard deviation of o = 18.0. (Round to 2 decimal places for all z-values and round all other answers to 4 decimal places, if needed.)
(a) The distribution of students' grades is ______(b2).
(b) If n = 40 students are selected at random, the distribution of the sample mean grade is _______(b1) with a mean of ______ and a standard deviation of ____.
(c) The probability that the sample mean grade for these 40 students is less than 67.0 is ____.
(d) If n = 40 students are selected at random, the distribution of the sample total grade is ______(b1) with a mean of _______ and a standard deviation of ____.
(e) The probability that the total grade for these 40 students is less than 2680.0 is _____.
(b2) options= (left skewed) or (right skewed) or (may/may not be normal) or (exactly normal) or (approximately normal)
(b1) options= (left skewed) or (right skewed) or (not normal) or (approximately normal)