A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lb and a standard deviation of 29 lb, and men working for the company have weights that are normally distributed with a mean of 178 lb and a standard deviation or 32 lb. You need to design an elevator that will safely carry 18 people. Assuming a worst case scenario of 18 male passengers, find the maximum total allowable weight if we want a 0.995 probability that this maximum will not be exceeded when 18 males are randomly selected. maximum weight = -lb Round to the nearest pound.
A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are
maximum weight = -lb Round to the nearest pound.
Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted
The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.956 g and a standard deviation of 0.302 g. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 34 cigarettes with a mean nicotine amount of 0.847 g.
Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 34 cigarettes with a mean of 0.847 g or less.
P(x-bar < 0.847 g) =
Enter your answer as a number accurate to 4 decimal places.
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