Assignment5

Assignment5 - Stat 322/332 Experimental Design and Sampling...

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Stat 322/332 Experimental Design and Sampling Assignment 5 Due: Wednesday, November 26, 2008 1. McDonald Corporation wishes to estimate the average annual sales at its various McDon- ald Restaurants for the current year, μ ( y ). It takes a random sample of n = 11 and obtains the following data. Let x be the annual sale for the previous year, and y be the sale of current year (obtained by doubling the sale of the first six months). Assume that N = 1 , 000 and μ ( x ) = 2 . 43 million dollars. Restaurant 1 2 3 4 5 6 7 8 9 10 11 x 2.1 3.2 5.1 1.7 4.3 1.9 4.8 2.3 1.6 2.7 2.0 y 2.4 3.6 5.6 2.0 4.4 2.0 5.2 2.8 2.0 2.8 2.4 (a) Compute the ratio estimate of ˆ μ ( y ) ratio and the estimated variance of the corresponding estimator. (b) Compute the regression estimate of ˆ μ ( y ) reg and the estimated variance of the corre- sponding estimator. (c) Provide some general discussion on practical choice between ratio and regression esti- mators. 2. Suppose that the
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This note was uploaded on 01/12/2012 for the course STAT 332 taught by Professor Xu(sunny)wang during the Fall '09 term at Waterloo.

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