Question: A study by the National Institute on Media and the
A study by the National Institute on Media and the Family reported that American children, ages 2 17, spend, on average, 25 hours per week watching television (mediafamily.org). You believe that your community average is lower. To test your belief, you randomly select a sample of 60 children, ages 2 17, from the local community and find a sample mean of 22.9 hours of weekly television watching. Determine whether the sample provides sufficient evidence— at the 10% significance level— to reject a null hypothesis that the average figure for the population of children in your community is at least as high as the 25 hour national average. To make your decision, find the critical value for the test in hours and compare the sample mean to the critical value. Assume that the standard deviation of television watching time for the population of children in the local community is 8.2 hours.
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