For Exercises use the traditional method of hypothesis testing unless otherwise specified. Assume the assumptions have been met.

A media researcher wanted to see if there was a difference in the ages of viewers of three late-night television talk shows. Three random samples of viewers were selected, and the ages of the viewers are shown. At α = 0.01, is there a difference in the means of the ages of the viewers? Why is the average age of a viewer important to a television show writer?

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David Letterman 53 46 48 42 35 Jay Leno 48 51 57 46 38 Conan O'Brien 40 36 35 42 39