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 unknown mean LaTeX: / mu and standard deviation LaTeX: / sigma = 10 bushels per acre. Q: Which of the following would produce a confidence interval with a smaller margin of error than the 90% confidence interval? A) Plant only 5 plots rather than 25, because 5 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) Compute a 99% confidence interval rather than a 90% confidence interval, because a higher confidence level will result in a smaller margin of error. D) Plant 100 plots rather than 25, because a larger sample size will result in a smaller margin of error.

Question

Mathematics

Trevor Spencer

5 May, 12:32

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 unknown mean LaTeX: / mu and standard deviation LaTeX: / sigma = 10 bushels per acre. Q: Which of the following would produce a confidence interval with a smaller margin of error than the 90% confidence interval? A) Plant only 5 plots rather than 25, because 5 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) Compute a 99% confidence interval rather than a 90% confidence interval, because a higher confidence level will result in a smaller margin of error. D) Plant 100 plots rather than 25, because a larger sample size will result in a smaller margin of error.

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Charlee Pratt · Answer 1

Correct Answer: CA larger sample size results in a smaller margin error, i. e. with a plant of 100 plots instead of 25, the margin error will be smaller.