What is the probability that the mean of a group of 5 randomly chosen values (from 1 to 100) would be between 40 and 55? [see #2 for the SD]
(#2 2. What is the probability that the mean of a group of 5 randomly chosen values (from 1 to 100) would be over 60? The NormalCdf command is now appropriate. [Note the population mean is 50.5 for all the questions on this activity. The SD is 29.01, but when you group of 5 means together, it shrinks the SD down. In this case, these would then have an SD of 29.01/sqrt(5) = 12.97])
The probability that the mean of a group of 5 randomly chosen values (from 1 to 100) would be over 60 is 0.2321 0r 23.21%.