One way of evaluating a measuring instrument is to repeatedly measure the same item and compare the average of these measurements to the item's known measured value. The difference is used to assess the instrument's accuracy (Quality Progress, Jan. 1993).To evaluate a particular Metlar scale, an item whose weight is known to be 16.01 ounces is weighed five times by the same operator. The measurements, in ounces, are as follows:

a. In a statistical sense, does the average measurement differ from 16.01? Conduct the appropriate hypothesis test. What does your analysis suggest about the accuracy of the instrument?

b. List any assumptions you make in conducting the hypothesis test.
*c. Conduct the appropriate nonparametric test of the data. Interpret the results.