A manufacturer of liquid soap produces a bottle with an advertised content of 310 milliliters (mL). Sixteen bottles are randomly selected and found to have the following contents, in mL.

A normal probability plot of the data indicates that you can assume the contents are normally distributed. Let μ denote the mean content of all bottles produced. To decide whether the mean content is less than advertised, perform the hypothesis test
H0: μ = 310 mL
Ha: μ At the 5% significance level.
a. Use the t-test.
b. Use the Wilcoxon signed-rank test.
c. If the mean content is in fact less than 310 mL, how do you explain the discrepancy between the two tests?

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