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7. A forest resource manager is interested in estimating the number of dead fir trees in a 300- acre area of heavy infestation. Using an
7. A forest resource manager is interested in estimating the number of dead fir trees in a 300- acre area of heavy infestation. Using an aerial photo, she divides the area into 200 1.5-acre plots. Let 3: denote the photo count of dead firs and y the actual ground count for a simple random sample of n = 10 plots. The total number of dead fir trees obtained from the photo count is Tx = 4200. Data is provided in the following table. (a) Based on the photo count, use ratio estimation to estimate Ty the total number of dead firs in the BOO-acre area. Place an error of estimation with 95% confidence level. (b) Use a regression estimator to estimate Ty the total number of dead firs in the BOO-acre area. Place an error of estimation with 95% confidence level. (c) Do you thinkthe regression estimator is better than the ratio estimatorfor this problem? Plot sampled Photo count, x, Ground count, ,- 45-0 H 4: .p. on H H N N LU H on NI no N m N N HH Oh- O 4
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