6. Suppose that the IQ's of individuals are normally distributed with a mean of 100 and a standard deviation of 16. If you take random samples of a group of individuals and assume, as the null hypothesis, that they have the same IQ as the rest of the population, then find the following probabilities on given samples: n= 25, find Pr(Y < 105) b. n= 100, find Pr(Ỹ > 97) n = 144, find Pr(101 < Y < 103) а. c.

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6. Suppose that the IQ's of individuals are normally distributed with a mean of 100 and a standard deviation
of 16. If you take random samples of a group of individuals and assume, as the null hypothesis, that they
have the same IQ as the rest of the population, then find the following probabilities on given samples:
a. n=25, find Pr(Y < 105)
= 100, find Pr(Y > 97)
n = 144, find Pr(101 < Y < 103)
b. n=
с.
Transcribed Image Text:6. Suppose that the IQ's of individuals are normally distributed with a mean of 100 and a standard deviation of 16. If you take random samples of a group of individuals and assume, as the null hypothesis, that they have the same IQ as the rest of the population, then find the following probabilities on given samples: a. n=25, find Pr(Y < 105) = 100, find Pr(Y > 97) n = 144, find Pr(101 < Y < 103) b. n= с.
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