Question

The U.S. Department of Agriculture (USDA) uses sample surveys to estimate nationwide crop prices. Suppose that...

The U.S. Department of Agriculture (USDA) uses sample surveys to estimate nationwide crop prices. Suppose that the USDA draws an SRS of corn producers in March and then a second, independent SRS of corn producers in September. In each survey, the USDA collects sales price per bushel of corn for each producer.

Summary statistics (prices per bushel)

Population Sample size Sample mean Sample standard deviation
#1: corn prices, Sept. 47 $3.78 $0.34
#2: corn prices, March 54 $3.59 $0.28

Calculate the lower endpoint of the 99% confidence interval for the difference in population mean corn prices, μ 1 − μ 2. Use the simple method to estimate the number of degrees of freedom.

Group of answer choices

$0.23

$0.28

$0.02

$0.19

$0.08

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