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You have been hired to help estimate the average cattle output in the U.S. for last...

You have been hired to help estimate the average cattle output in the U.S. for last year. The data is available from a company and a fee is charged for each state sampled. If the range of cattle output by state (in 1000 head) is about 14,000 and they wish to have a 95% confidence interval with a bound of 1,000 for the average, how many states should be sampled? Find solution without using z-score.

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Answer #1

Range= 14000

S.d= range/4 =14000/4= 3500

Sample size for single mean

For 95% confidence, z=1.96

E=1000
E = Zα/2 × (σ/√n)
1000 = 1.96 x (3500)/√n
=> n =48

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