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Answer: 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