A random sample of 10 bags of potato chips had weights in ounces of 12.7, 11.6, 11.2, 12.4, 11.8, 12.1, 12.3, 12.8, 12.8, and 12.8. Assume that the weights of the bags of potato chips are normally distributed.
(A) Find a 95% confidence interval for the mean weight of all such bags of potato chips.