Two researchers plan to construct a 99% confidence interval for the mean of a No

Question

Two researchers plan to construct a 99% confidence interval for the mean of a Normal population with (known) standard deviation . Researcher A will use a random sample of 50 individuals. Researcher B will use a random sample of 800 individuals. Then the margin of error for Researcher A's estimate is _____ times that of Researcher B's estimate. 2 4 16 None of the above. A larger sample size will decrease the margin of error. Two researchers plan to construct a 99% confidence interval for the mean of a Normal population with (known) standard deviation . Researcher A will use a random sample of 50 individuals. Researcher B will use a random sample of 800 individuals. Then the margin of error for Researcher A's estimate is _____ times that of Researcher B's estimate. 2 4 16 None of the above. A larger sample size will decrease the margin of error.

Explanation / Answer

Margin of error is proportional to 1/ square root(n), thus MoE of (A) is: sqrt(800/50) = 4 times (B)

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