Question

First grade children have heights that are normally distributed about a mean of 37 inches and a standard deviation of 2 inches. A random sample of size 25 is taken and the mean is calculated. Find the probability that the mean value (X-bar) will be between 36.5 and 41.0 inches.

a. .894
b. .1088
c. .724
d. .0994
e. .223

Answer 1

the probability that the mean value (X-bar) will be between 36.5 and 41.0 inch is 0.894 the correct option is a)

Explanation:

See attached picture