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It is known that iq scores have a normal distribution with a mean of 100 and a standard deviation of 15.

a. a random sample of 36 students is selected. what is the probability that the sample mean iq score of these 36 students is between 95 and 110?
b. a random sample of 100 students is selected. what is the probability that the sample mean iq score of these 100 students is between 95 and 110?

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User Daf
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1 Answer

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The standard deviation of the mean of the sample is the population standard deviation divided by the square root of the sample size. A suitable calculator can figure the rest for you.

a. 0.99722
b. 0.99957
It is known that iq scores have a normal distribution with a mean of 100 and a standard-example-1
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User Stefan Haustein
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