Question: Please identify each of the following statements as either TRUE or FALSE by DELETING the incorrect response and leaving the correct response. For statements that are false, provide a specific explanation as to why they are false using a maximum of two sentences. (16 points)

a. If three events are mutually exclusive and they are the only three events that can occur, then the sum of their probabilities is equal to 1.

b. The Central Limit Theorem demonstrates that, under certain conditions, small samples (n < 15) can be used to make inferences about population means.

c. Jane tested whether average starting salaries of recent graduates differed by degree program. She collected salary data of random samples of recent graduates of public policy, public health, environmental studies, and political science programs. Her analysis consisted of independent samples t-tests to compare the pairs of groups. She conducted an appropriate analysis.

d. Joe tested whether a relationship existed between alcohol usage and suicide rates among states, both ratio-level variables. He used a correlation to test the relationship, which was an appropriate method of analysis.

e. After the recent Presidential election, a CNN correspondent reported that “Barack Obama won the ‘female vote’ as 67% of female voters voted for him.” Therefore, we can conclude that gender played a role in the election.

(it depends on the size of the female voters with respect to the whole population of voters)