Laboratory: Use data of Farms in the valley of the Jolly Green Giant created in the laboratory session. This data consisted of 36 farms, each farm having measurements on the farm acreage and fuel consumption. a. Select a simple random sample of size 6 (use seed=2010). Using this sample data: i. Estimate the mean farm size and mean fuel consumption in Jolly Green Giant. ii. Construct 95% confidence intervals for the average farm size and average fuel consumption for the Jolly Green Giant. iii. Estimate the total farm size and total fuel consumption in Jolly Green Giant. Estimate the respective bounds on the error of estimation. b. Select a stratified random samples of sizes 2 (for the small farms) and 4 (for the large farms) using seeds provided in the laboratory example. Using this sample data: iv. Estimate the mean farm size and mean fuel consumption in Jolly Green Giant. v. Construct 95% confidence intervals for the average farm size and average fuel consumption for the Jolly Green Giant. vi. Estimate the total farm size and total fuel consumption in Jolly Green Giant. Estimate the respective bounds on the error of estimation. c. How do your estimates in (a) and (b) compare? Explain.
Laboratory: Use data of Farms in the valley of the Jolly Green Giant created in
the laboratory session. This data consisted of 36 farms, each farm having
measurements on the farm acreage and fuel consumption.
a. Select a simple random sample of size 6 (use seed=2010). Using this
sample data:
i. Estimate the mean farm size and mean fuel consumption in Jolly
Green Giant.
ii. Construct 95% confidence intervals for the average farm size and
average fuel consumption for the Jolly Green Giant.
iii. Estimate the total farm size and total fuel consumption in Jolly
Green Giant. Estimate the respective bounds on the error of
estimation.
b. Select a stratified random samples of sizes 2 (for the small farms) and 4
(for the large farms) using seeds provided in the laboratory example.
Using this sample data:
iv. Estimate the mean farm size and mean fuel consumption in Jolly
Green Giant.
v. Construct 95% confidence intervals for the average farm size and
average fuel consumption for the Jolly Green Giant.
vi. Estimate the total farm size and total fuel consumption in Jolly
Green Giant. Estimate the respective bounds on the error of
estimation.
c. How do your estimates in (a) and (b) compare? Explain.
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