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1. Let the mean be 100 and the standard deviation be 15 for the normal distribution...

1. Let the mean be 100 and the standard deviation be 15 for the normal distribution for adult IQs in North Carolina.

a. Use the empirical rule to find what proportion of the data is located between 85 and 115.

b. How about 100 and 130?

c. Find the z-score for the following data points and explain what these mean: i. x = 80 ii. x = 109

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