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To determine whether a new sleeping pill has an effect that varies with dosage, a researcher...

To determine whether a new sleeping pill has an effect that varies with dosage, a researcher randomly assigns adult insomniacs, in equal numbers, to receive either 4 or 8 grams of the sleeping pill. The amount of sleeping time is measured for each subject during an 8-hour period after the administration of the dosage. What type of design is this, and what type of statistic is needed to analyze the data?

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In this case we should use a completely randomised design, and we need test statistic is F-statistic from ANOVA, 2 way ANOVA would suffice as the statistic needed to analyze the data.

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