Suppose that the heights of college students are normally distributed with a mean of 66 inches and a standard deviation of 3 inches. We randomly sample a class of 36 students.
a. If X = the height of one randomly selected student, then X ~ ______(_______,_______)
b. What is the probability that a randomly selected student is taller than 65 inches? Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability.
c. If xbar = the average height of the sample of 36 students in inches, then Xbar~ ______(_______,_______)
d. What is the probability that the average height of the 36 students is more than 65 inches? Sketch the graph. Scale the horizontal axis for Xbar. Shade the region corresponding to the probability.
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