An estimate is needed of the mean acreage of farms in Region X. The estimate should be

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An estimate is needed of the mean acreage of farms in Region X. The estimate should be correct to within 100 acres with probability 0.95.

A preliminary study suggests that 400 acres is a reasonable guess for the standard deviation of farm size.

(a) How large a sample of farms is required?

(b) A random sample is selected of the size found in (a).

The sample has a standard deviation of 800 acres, rather than 400.What is the margin of error for a 95% confidence interval for the mean farm size?

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