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 that the mean of this sample is between 98 and 103?

0.7471

Step-by-step explanation:

Given : The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of and a population standard deviation of .

Sample size = 50

Using formula , the z-value corresponding to x=98 will be:-

Z-value corresponding to x=103 will be:-

Using the standard normal distribution table for z-scores, we have

P-value =

Hence, the  probability we could select a sample of 50 adults and find that the mean of this sample is between 98 and 103 = 0.7471