The dosages for the supplement melatonin can vary between (1 mathrm{and} 60 mathrm{mg}), where a dosage of

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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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