The intelligence quotient (iq) test scores for adults are normally distributed with a population mean of 100 and a population standard deviation of 15. what is the probability we could select a sample of 50 adults and find the mean of this sample is between 95 and 105?

0.9817

Step-by-step explanation:

Given : The Intelligence Quotient (IQ) test scores for adults are normally distributed with

Mean :

Standard deviation :

Sample size : = 50

Let x be the random variable that represents the IQ test scores for adults.

Z-score :

For x =95

For x =105

By using standard normal distribution table , the probability the mean of the sample is between 95 and 105 :-