An agricultural researcher plants 25 plots with a new variety of yellow corn.Assume that the yield per acre for the new variety of yellow corn follows a Normal distribution with an unknown mean of  and a standard deviation of  = 10 bushels per acre. Which of the following would produce a confidence interval with a smaller margin of error than the 90% confidence interval?

A) Plant only five plots rather than 25 because five are easier to manage and control.
B) Plant 10 plots rather than 25 because a smaller sample size will result in a smaller margin of error.
C) Plant 100 plots rather than 25 because a larger sample size will result in a smaller margin of error.
D) Compute a 99% confidence interval rather than a 90% confidence interval because a higher confidence level will result in a smaller margin of error.

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Alissa Evilsizor · Accepted Answer

Final Answer : C, Explanation :  Increasing the sample size will decrease the margin of error, so planting 100 plots instead of 25 will produce a smaller margin of error. This is known as the Law of Large Numbers.

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