Scores for a common standardized college aptitude test are normally distributed with a mean of 510 and a standard deviation of 105. Randomly selected men are given a Prepartion Course before taking this test. Assume, for sake of argument, that the Preparation Course has no effect on people's test scores. If 1 of the men is randomly selected, find the probability that his score is at least 580. P(X > 580) = Enter your answer as a number accurate to 4 decimal places. If 9 of the men are randomly selected, find the probability that their mean score is at least 580. P(x-bar > 580) = Enter your answer as a number accurate to 4 decimal places.
Scores for a common standardized college aptitude test are
If 1 of the men is randomly selected, find the probability that his score is at least 580.
P(X > 580) =
Enter your answer as a number accurate to 4 decimal places.
If 9 of the men are randomly selected, find the probability that their mean score is at least 580.
P(x-bar > 580) =
Enter your answer as a number accurate to 4 decimal places.
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.
Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.
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