A certain county has 1,000 farms. Corn is grown on 100 of these farms but on none of the others. In order to estimate the total farm acreage of corn for the country, two plans are proposed. Plan I: a. Sample 20 farms at random. b. Estimate the mean acreage of corn per farm in a confidence interval. c. Multiply both ends of the interval by 1,000 to get an interval estimate of the total. Plan II: a. Identify the 100 corn-growing farms. b. Sample 20 corn-growing farms at random. c. Estimate the mean acreage of corn for corn-growing farms in a confidence interval. d. Multiply both ends of the interval by 100 to get an interval estimate of the total. On the basis of the information given, which of the following is the better method for estimating the total farm acreage of corn for the county? (A) Choose plan I over plan II. (B) Choose plan II over plan I. (C) Choose either plan, since both are good and will produce equivalent results. (D) Choose neither plan, since neither estimates the total farm acreage of corn. (E) The plans cannot be evaluated from the information given
A certain county has 1,000 farms. Corn is grown on 100 of these farms but on none of the others. In order to
estimate the total farm acreage of corn for the country, two plans are proposed.
Plan I:
a. Sample 20 farms at random.
b. Estimate the mean acreage of corn per farm in a confidence interval.
c. Multiply both ends of the interval by 1,000 to get an
Plan II:
a. Identify the 100 corn-growing farms.
b. Sample 20 corn-growing farms at random.
c. Estimate the mean acreage of corn for corn-growing farms in a confidence interval.
d. Multiply both ends of the interval by 100 to get an interval estimate of the total.
On the basis of the information given, which of the following is the better method for estimating the total farm
acreage of corn for the county?
(A) Choose plan I over plan II.
(B) Choose plan II over plan I.
(C) Choose either plan, since both are good and will produce equivalent results.
(D) Choose neither plan, since neither estimates the total farm acreage of corn.
(E) The plans cannot be evaluated from the information given
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