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    Analysis of Variance

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    Each year a study is conducted of children's drug, alcohol, and tobacco usage. Children in fourth, eighth, and twelfth grades are asked about their use of cigarettes, chewing tobacco, marijuana, cocaine, ecstasy, (abuse of) prescription drugs, beer, wine, and liquor. For each substance, they are asked about their use during the past 30 days, and during the past twelve months.

    The results of the study are reported separately for boys and girls, and are compared with the previous year's results. Typically, media reports of the annual study take the form of, "Marijuana use rises among eighth grade girls."

    Explain why it is not possible to know whether the increase in eighth grade girls' use of marijuana is statistically significant.

    Explain the role that an analysis of variance could play in establishing whether any of the results of the study are statistically significant, and how you would identify which results of the study might be statistically significant.

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    Solution Preview

    Each year a study is conducted of children's drug, alcohol, and tobacco usage. Children in fourth, eighth, and twelfth grades are asked about their use of cigarettes, chewing tobacco, marijuana, cocaine, ecstasy, (abuse of) prescription drugs, beer, wine, and liquor. For each substance, they are asked about their use during the past 30 days, and during the past twelve months.

    The results of the study are reported separately for boys and girls, and are compared with the previous year's results. Typically, media reports of ...

    Solution Summary

    The solution uses an analysis of variance for children's drug, alcohol and tobacco usage. The role that an analysis of variance could play in establishing is determined.

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