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$\mu$ and a standard deviation of $\sigma$= 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.

Question

Quizplus · Accepted Answer

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.

An Agricultural Researcher Plants 25 Plots with a New Variety μ\muμ

An Agricultural Researcher Plants 25 Plots with a New Variety $\mu$