Suppose that it is known from experience that the standard deviation of the weight of 8-ounce packages of cookies made by a certain bakery is 0.16 ounce. To check whether its production is under control on a given day, that is, to check whether the true average weight of the packages is 8 ounces, employees select a random sample of 25 packages and find that their mean weight is 8.091 ounces. Since the bakery stands to lose money when μ > 8 and the customer loses out when μ < 8. Test the null hypothesis μ = 8 against the alternative hypothesis μ ≠ 8 at the 0.01 level of significance (Reference Z_{0.005} = 2.575)