# Statistics Questions

**Tutor description**

True or False. Justify for full credit. (a) If P(A) = 0.4, P(B) = 0.5, and A and B are independent, then P(A AND B) = 0.9. (b) If the variance of a data set is 0, then all the observations in this data set must be zero. (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) In a two-tailed test, the value of the test statistic is 2. The test statistic follows a distribution with the distribution curve shown below. If we know the shaded area is 0.03, then we have sufficient evidence to reject the null hypothesis at 0.05 level of significance.

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