Question

The standard deviation of the scores on a skill evaluation test is 354 points with a mean of 1458 points. If 313 tests are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 40 points? Round your answer to four decimal places.​

Answer 1

And we can find this probability with this difference and using the normal standard distribution or excel and we got:

0.977-0.0228 = 0.9542

Hope this help! :)