annadson8452 annadson8452

27-06-2018
Mathematics

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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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sqdancefan sqdancefan

07-07-2018

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

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