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1 True or False. Justify for full credit. (a) If A and B are disjoint, P(A) = 0.

ID: 2927297 • Letter: 1

Question

1 True or False. Justify for full credit. (a) If A and B are disjoint, P(A) = 0.4 and P(B) = 0.5, then P(A AND B) = 0.2. (b) If all the observations in a data set are identical, then the variance for this data set is zero. (c) There may be more than one mode in a data set (d) A 95% confidence interval is wider than a 98% 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. .3 -2

Explanation / Answer

A) False, because P(A and B) is zero for disjoint set.

B) True

C) True

D) False, because 98% confidence interval will be more wider than 95% confidence interval

E) False, because P-value is 0.06 which is not less than 0.05