Question: 1. True or False. Justify answer. (a) If all the observations in a data set are identical, then the variance for this data set is

1. True or False. Justify answer.

(a) If all the observations in a data set are identical, then the variance for this data set is zero.

(b) If A and B are disjoint, P(A) = 0.4 and P(B) = 0.5, then P(A AND B) = 0.2.

(c) The mean is always equal to the median for a normal distribution.

(d) A 95% confidence interval is wider than a 90% confidence interval of the same parameter.

(e) It's easier to reject the null hypothesis in a hypothesis test at 0.05 significance level than at 0.01 significance level.

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