To determine whether a new sleeping pill has an effect that varies with dosage,
ID: 3246337 • Letter: T
Question
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? 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?Explanation / Answer
Between subjects design.
The independent-samples test compares the means between two unrelated groups on the same continuous, dependent variable. This is sometimes called a between subjects design.
(1)To test whether the group means are significantly different we go for z test
z = (x1- x2-)/sqrt(12/n1+22/n2)
if standard deviation of the samples are known
(2) we also use independent sample t-test
t=(mean1-mean2)/((sp*(1/n1 +1/n2)1/2) and sp2=((n1-1)s12+(n2-1)s22)/n and with df is n=n1+n2-2
if standard deviation of the samples are not known
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