A sport statistician gathered data on the number of points scored in each game by high school basketball players across the country. She found a population mean of 20.15 and a standard deviation of 3.7. Each sample size was 20 players. By the central limit theorem, which interval do 68% of the sample means fall within? A.
19.96 and 20.34
B.
18.50 and 21.81
C.
17.67 and 22.63
D.
19.32 and 20.98