Question: a. Say you have a null hypothesis that the mean height for Illinois State University men is 68 inches (Ho: m = 68). You go out, get a sample of 50 WSU men, measure each of them, and find that their mean height is 76 inches. You calculate your statistic (say z = 2.98) and compare it to a critical value (z = 1.96). You'd reject the null here and state that this sample is significantly taller than 68", or that this sample comes from a different population from which the null specifies. What type of error would you be making if the sample happens to be basketball players and why? (2.5 points)

b. Say you have a null hypothesis that the mean IQ for the general population is 100 ( u = 100). Say you sample 50 people who happen to be from MENSA, and their mean IQ is 120. You calculate your statistic (z = 1.88), and compare it to a critical value (z = 1.96). What type of error would you be committing if you fail to reject the null, and conclude that the MENSA population is not significantly different from the general population, when the mean IQ in the population of MENSA members is 140? Why?

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