Determine whether the following statements are true or false . If the sample mean ¯xx¯ of a simple random sample from an xx distribution is relatively small, then the confidence interval for μμ will...

Determine whether the following statements are
true
or
false.


If the sample mean ¯xx¯ of a simple random sample from an xx distribution is relatively small, then the confidence interval for μμ will be relatively small.

For the same simple random sample, when the confidence level of c is reduced, the confidence interval for μμ becomes shorter.

The confidence level is the proportion of all possible samples of the same size for which the confidence interval will cover the true value.