Example 2 referred to an Ohio elevator with a maximum capacity of 2500 lb. When rating elevators, it is common to use a 25% safety factor, so the elevator should actually be able to carry a load that is 25% greater than the stated limit. The maximum capacity of 2500 lb becomes 3125 lb after it is increased by 25%, so 16 male passengers can have a mean weight of up to 195.3 lb. If the elevator is loaded with 16 male passengers, find the probability that it is overloaded because they have a mean weight greater than 195.3 lb. (As in Example 2, assume that weights of males are normally distributed with a mean of 182.9 lb and a standard deviation of 40.8 lb.) Does this elevator appear to be safe?
Answer to relevant QuestionsExercise 11 uses m182.9 lb, which is based on Data Set 1 in Appendix B. Repeat Exercise 11 using m174 lb (instead of 182.9 lb), which is the assumed mean weight that was commonly used just a few years ago. Assuming that the ...A ski gondola in Vail, Colorado, carries skiers to the top of a mountain. It bears a plaque stating that the maximum capacity is 12 people or 2004 lb. That capacity will be exceeded if 12 people have weights with a mean ...The Orange County Spa began with 300 members. Those members had weights with a distribution that is approximately normal with a mean of 177 lb and a standard deviation of 40 lb. The facility includes an elevator that can ...Exercise Use the data from the indicated exercise in this section. Use computer software (such as STATDISK, Minitab, Excel or StatCrunch) or a TI-83/84 Plus calculator to generate a normal quantile plot. Then determine ...Refer to Figure in Example 2, and refer to the Minitab display near the beginning of this section. Figure shows the shaded region representing exactly 235 wins among 431 games. What is the shape of the corresponding region ...
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