Question: A large study involving over 20,000 individuals shows that the mean percentage intake of kilocalories from fat was 39% with a range from 6% to 72%. A small sample study was conducted at a university hospital to determine if the mean intake of patients at that hospital was different from 39%. A sample of 15 patients had a mean intake of 40.8% with a standard deviation equal to 6.5%. Assume that the sample is from a normally distributed population.

Test the hypothesis of "different from" using the classical approach at a level of significance equal to 0.05. Include the critical values, t * , and your conclusion.

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