True or false? If the sample mean x of a random sample from an x distribution is

Question

True or false? If the sample mean x of a random sample from an x distribution is relatively small, when the confidence level c is reduced, the confidence interval for becomes shorter.

True. As the level of confidence decreases, the maximal error of estimate decreases.False. As the level of confidence decreases, the maximal error of estimate increases.    True. As the level of confidence decreases, the maximal error of estimate increases.False. As the level of confidence decreases, the maximal error of estimate decreases.

Explanation / Answer

Answer is True. As the level of confidence decreases, the maximal error of estimate decreases.

As the confidence level decreases the margin of error decreases

CI = Xbar +/- Margin of error

So, if CI decreases, MOE has to decrease

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