26. IQ is normally distributed with a mean of 100 and a standard deviation of 15. a) Find the probability that 50 randomly selected people have an average IQ of 104 or above. You'll need to use the standard normal distribution chart. Another way to interpret this data is that a confidence interval for u around = 104 should contain the true answer u = 100, as long as the confidence level is high enough to include even fairly unusual samples like the one above. Let’s try this out! b) Pretend that you don't know that u = 100 and you are trying to estimate it with a confidence interval. You still do know that o = 15. You conduct a survey of 50 random people and find that their average IQ is 104. Construct a 99% confidence interval for µ.

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