The dosages for the supplement melatonin can vary between (1 mathrm{and} 60 mathrm{mg}), where a dosage of
Question:
The dosages for the supplement melatonin can vary between \(1 \mathrm{and} 60 \mathrm{mg}\), where a dosage of \(5 \mathrm{mg}\) is a typical starting dosage. A random sample of 15 individuals using melatonin was collected; the dosage is provided in Table 11.13.
a. Using the Wilcoxon Signed-Rank test, determine if the population median dosage is greater than \(5 \mathrm{mg}\).
b. Do you believe that the assumptions underlying the Wilcoxon signed-rank test have been violated?
c. Using a one-sample \(t\)-test, determine if the population mean dosage is greater than \(5 \mathrm{mg}\).
d. Do you believe that the assumptions underlying a one-sample \(t\)-test have been violated?
e. Which analysis do you think is the most appropriate for the given data?
Table 11.13
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