# #2 2014 AP® STATISTICS FREE-RESPONSE QUESTIONS

Nine sales representatives, 6 men and 3 women, at a small company wanted to attend a national convention. There were only enough travel funds to send 3 people. The manager selected 3 people to attend and stated that the people were selected at random. The 3 people selected were women. There were concerns that no men were selected to attend the convention.
(a) Estimate the probability that randomly selecting 3 people from a group of 6 men and 3 women will result in selecting 3 women.
(b) Based on your answer to part (a), is there reason to doubt the manager’s claim that the 3 people were selected at random? Explain.
Each "resampling" will produce 100 trials.

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