The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student. Construct a 90% Confidence Interval for the true mean age of Winter Foothill College students by working out then answering the exercise. How much area is in both tails (combined), α = ?
To calculate the 90% confidence interval we will use t distribution.
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