Central Limit Theorem 2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating that the maximum capacity is 12 people or 2004 lb. A worst-case scenario would be 12 adult male passengers, since they tend to be heavier than women or children. Assume adult male weights are normally distributed with a mean of 188.6 lb. and standard deviation of 38.9 lb. a.) If 12 men weighed exactly 2004 lb., what would be the average weight? b.) Find the probability that a single man will have a weight greater than your result from part (a). c.) Find the probability that 12 randomly selected men will have a weight greater than your results from part (a). d.) Does the gondola appear to have the correct weight limit? Why or why not?
Central Limit Theorem
2.) A ski gondola in Vail, Colorado that carries skiers up a mountain bears a plaque stating that
the maximum capacity is 12 people or 2004 lb. A worst-case scenario would be 12 adult male
passengers, since they tend to be heavier than women or children. Assume adult male weights
are
a.) If 12 men weighed exactly 2004 lb., what would be the average weight?
b.) Find the probability that a single man will have a weight greater than your result from part
(a).
c.) Find the probability that 12 randomly selected men will have a weight greater than your
results from part (a).
d.) Does the gondola appear to have the correct weight limit? Why or why not?
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