Question: Company officials were concerned about the length of time a particular drug product retained its potency as a %. A random sample of 10 bottles of the product was drawn from the production line and analyzed for potency. A second random sample of 10 bottles was obtained and stored in a regulated environment for a period of one year. The readings obtained from each sample are given below. Assuming normality, test at the 1% significance level to determine if the stored product was less potent. (13 points)

Fresh (%) Stored (%)

10.2 10.6 9.8 9.7

10.5 10.7 9.6 9.5

10.3 10.2 10.1 9.6

10.8 10.0 9.7 9.8

10.8 10.6 10.0 9.5

b. Based on your conclusion, what type of error have you subjected yourself to and explain the error in terms of this situation.

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