Question: True or False. Justify for full credit.

1. If the variance from a data set is zero, then all the observations in this data set must be identical.
2. P( A AND Ac ) 1, where Ac is the complement of A.
3. The mean is always equal to the median for a normal distribution.
4. A 99% confidence interval is wider than a 95% confidence interval of the same parameter.
5. It is easier to reject the null hypothesis if we use a smaller significance level α.

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