6) Company officials were concerned about the length of time a particular drug product retained its potency. A random sample of n = 10 bottles of the product was drawn from the production line and analyzed for potency. A second sample of n2 = 10 bottles was obtained and stored in a regulated environment for a period of 1 year. The readings obtained from each sample are given in the following table. 1 2 Fresh 10.2 10.5 10.3 Stored 9.8 9.6 10.1 3 4 5 6 7 10.8 9.8 10.6 10.7 10.2 10.0 10.2 10.1 9.7 9.5 9.6 9.8 8 9 10 10.6 9.9 It is assumed that the potencies for the fresh and stored bottles follow normal distributions witht the same populaton variance. (a) State appropriate hypotheses to test whether there is a difference in mean potency between the fresh and stored bottles; (b) Define the rejection region that has a significance level of a = 0.05; (c) Perform an appropriate test for the hypotheses; (d) State your conclusion at a = 0.05.