The intelligence quotient (iq) test scores for adults are normally distributed with a mean of 100 and a standard deviation of 15. what is the probability we could select a sample of 50 adults and find that the mean of this sample is between 98 and 103?

The probability that a sample of size n of a normally distributed data with mean, μ and standard deviation, σ, is between two values, a and b, is given by



Given that the intelligence quotient (iq) test scores for adults are normally distributed with a mean of 100 and a standard deviation of 15.

The probability that a sample of 50 adults will have a mean of between 98 and 103 is given by:



Therefore, the probability that a sample of 50 adults will have a mean of between 98 and 103 is 0.74846