Question The average size of farm in Indiana County, Pennsylvania, is 191 acres. The average size of farm in Greene County, Pennsylvania, is 199 acres. Assume both data were obtained from two samples with standard deviations of 38 and 12 acres, respectively, and sample size of 30 and 35 respectively. Can it be concluded at a =0.05 that the average size of farm in two counties is different? Assume populations are normally distributed.

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The average size of farm in Indiana County, Pennsylvania, is 191 acres. The
average size of farm in Greene County, Pennsylvania, is 199 acres. Assume both
data were obtained from two samples with standard deviations of 38 and 12
acres, respectively, and sample size of 30 and 35 respectively. Can it be concluded
at a =0.05 that the average size of farm in two counties is different? Assume
populations are normally distributed.
Transcribed Image Text:Question The average size of farm in Indiana County, Pennsylvania, is 191 acres. The average size of farm in Greene County, Pennsylvania, is 199 acres. Assume both data were obtained from two samples with standard deviations of 38 and 12 acres, respectively, and sample size of 30 and 35 respectively. Can it be concluded at a =0.05 that the average size of farm in two counties is different? Assume populations are normally distributed.
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