Restaurateur Danny Valentine is computing two sizes, Raymondville and Rosenberg, for his next restaurant. He wish to prove that Raymondville residents (population 1) dine out more often than the Rosenberg residents (population 2). Denny commissions the market survey to test his hypothesis. The market researcher employed a random sample of 64 families from each suburb, and reported following x? 1 =15 times per month and x? 2 = 14 times per month. Suppose that σ 1= 2 and σ 2= 3. With α= .01, what does restaurateur Denny Valentine find?