Question

A normally distributed population has a mean of 250 pounds

Answer 1

Answer: 0.9746

Step-by-step explanation:

Given : A normally distributed population has a mean of 250 pounds and a standard deviation of 10 pounds.

i.e. $\mu=250$ $\sigma=10$

Sample size : n= 20

Let $\overline{x}$ sample mean values.

Then, the probability that this sample will have a mean value between 245  and 255 be

$P(245$

Hence , the probability that this sample will have a mean value between 245  and 255 is 0.9746 .