The concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the process. the standard deviation of active concentration is known to be 3 grams per liter, regardless of the catalyst type. ten observations on concentration are taken with each catalyst, and the data follow:
catalyst 1: 57.5, 66.4, 65.4, 65.4, 65.2, 62.6, 67.6, 63.7, 67.2, 71.0
catalyst 2: 67.0, 72.4, 70.3, 69.3, 64.8, 69.6, 68.6, 69.4, 65.3, 68.8
(a) find a 95% two-sided confidence interval on the difference in mean active concentrations for the two catalysts. find the p-value.