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You are interested in testing the distance of two golf balls, Brand A and Brand B. You take a random sample of 100 golfers, each of whom hits Brand A once and Brand B once. Define X as the distance for Brand A, and define Y as the distance for Brand B, with the distances measured in yards. In your sample of 100 golfers, the ΣXi = 20,000 yards, and the sum of ΣYi = 19,500 yards. The sum of ΣX2i = 4,090,000 yards squared, and the sum of ΣY2i = 3,892,500 yards squared. The sum of the product between ΣXiYi equals 3,963,000 yards squared.
(a) Using the asymptotic distribution, create a 95-percent confidence interval for the average distance of Brand A.
(b) Using the asymptotic distribution, create a 95-percent confidence interval for the average distance of Brand B.
(c) Using the asymptotic distribution, test the hypothesis that the average distance of Brand A equals the average distance of Brand B. Use a two-tailed test and a five-percent level of significance.
Quota sampling Under this method enumerators shall select the respondents in place of those not available, as per the quota fixed according to guide lines provided to them.
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give me question on mean is the aimplest average to understand and easy to compute
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