Two researchers plan to construct a 99 confidence interval f

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.

Solution

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

 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 rando

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