statistics
posted by hr .
the heights of 1000 students in a college are normally distributed with a mean 5’10" and SD 2". Use 68% for the region from the mean to 1SD on either side; 94% for the region from the mean to 2SD on either side and 98% for the region from the mean to 3SD on either side. Find the approximate number of students in each range of the heights:
28) 5’8"–6’
29) 5’6"–6’2"
30) Above 5’10"
31) Below 6’
32) Above 5’8"
33) 5’8"–6’4"

Z = # of SD away from the mean = (x  mean)/SD
Calculate the Z score values for each height. Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions desired. Multiply that proportion by 1000.