Q1) Restaurateur Danny Valentine is estimating 2 sizes, Raymondville and Rosenberg, for his next restaurant. He wishes to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). Denny commissions market survey to test his hypothesis. Market researcher used 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 determine?

Q2) Researcher is interested in testing whether there are differences in mean between population one and population two. He arbitrarily chooses a sample of 9 items from population one resulting in the mean of 14.3 and standard deviation of 3.4. He arbitrarily chooses a sample of 14 items from population two resulting in the mean of 11.8 and standard deviation 2.9. By using a 10% level of significance what does business researcher determine? Suppose that populations have equal variances and are normally distributed.