The average farm in the united states in 2004 contained 443 acres. the standard deviation is 42 acres. suppose the distribution of farm sizes is bell-shaped. according to the empirical rule, what percentage of farms would you expect to be larger than 527 acres. round your answer to one decimal place

Question

Desiree Hester

Business

30 September, 19:14

The average farm in the united states in 2004 contained 443 acres. the standard deviation is 42 acres. suppose the distribution of farm sizes is bell-shaped. according to the empirical rule, what percentage of farms would you expect to be larger than 527 acres. round your answer to one decimal place

+1

Answers (1)

Know the Answer?

Shania House · Answer 1

2.5%

Let's see how many standard deviations from the norm 527 acres is. (527 - 443) / 42 = 84/42 = 2

The empirical rule is that 95% of the data will lie within 2 standard deviations of the norm. But that includes the data that both above and below the mean. So you also say that 2.5% of the data will be greater than 2 standard deviations above the mean and 2.5% less than 2 standard deviations below the mean.

So the answer is 2.5%