Section 6-4: The Central Limit Theorem 9. A ski gondola in South Lake Tahoe carries skiers to the top of a mountain. A posted sign states that the maximum capacity is 20 people or 4200 lbs. The capacity will be exceeded if 20 people have weights with an average of 210 lbs (since 4200 lbs / 20 people = 210 lbs/person). Because men tend to weigh more than women, a "worst case" scenario would involve 20 passengers who are all men (A ski weekend bachelor party - it happens). Assume men have weights with a mean of 195 lbs and a standard deviation of 29 lbs. a. If one man is randomly selected from the population, find the probability that his individual weight is over 210 lbs. Shade the appropriate area. 9a.________________ b.

If 20 men are randomly selected (simple random sample), find the probability that the mean weight is over 210 lbs. Shade the appropriate area.

9b.________________

c. Should the resort be concerned about the possibility of their gondola's weight limit being exceeded regularly? Explain.