NOTE: Answers using z-scores rounded to 3 (or more) decimal places will work for this problem. The population of weights for men attending a local health club is normally distributed with a mean of 171-lbs and a standard deviation of 31-lbs. An elevator in the health club is limited to 32 occupants, but it will be overloaded if the total weight is in excess of 6048-lbs. Assume that there are 32 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded? average weight = lbs What is the probability that one randomly selected male health club member will exceed this weight? P(one man exceeds) = (Report answer accurate to 4 decimal places.) If we assume that 32 male occupants in the elevator are the result of a random selection, find the probability that the evelator will be overloaded? P(elevator overloaded) = (Report answer accurate to 4 decimal places.) If the evelator is full (on average) 7 times a day, how many times will the evelator be overloaded in one (non-leap) year? number of times overloaded = (Report answer rounded to the nearest whole number.) Is there reason for concern? no, the current overload limit is adequate to insure the safety of the passengers yes, the current overload limit is not adequate to insure the safey of the passengers
NOTE: Answers using z-scores rounded to 3 (or more) decimal places will work for this problem. The population of weights for men attending a local health club is normally distributed with a mean of 171-lbs and a standard deviation of 31-lbs. An elevator in the health club is limited to 32 occupants, but it will be overloaded if the total weight is in excess of 6048-lbs. Assume that there are 32 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded? average weight = lbs What is the probability that one randomly selected male health club member will exceed this weight? P(one man exceeds) = (Report answer accurate to 4 decimal places.) If we assume that 32 male occupants in the elevator are the result of a random selection, find the probability that the evelator will be overloaded? P(elevator overloaded) = (Report answer accurate to 4 decimal places.) If the evelator is full (on average) 7 times a day, how many times will the evelator be overloaded in one (non-leap) year? number of times overloaded = (Report answer rounded to the nearest whole number.) Is there reason for concern? no, the current overload limit is adequate to insure the safety of the passengers yes, the current overload limit is not adequate to insure the safey of the passengers
NOTE: Answers using z-scores rounded to 3 (or more) decimal places will work for this problem. The population of weights for men attending a local health club is normally distributed with a mean of 171-lbs and a standard deviation of 31-lbs. An elevator in the health club is limited to 32 occupants, but it will be overloaded if the total weight is in excess of 6048-lbs. Assume that there are 32 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded? average weight = lbs What is the probability that one randomly selected male health club member will exceed this weight? P(one man exceeds) = (Report answer accurate to 4 decimal places.) If we assume that 32 male occupants in the elevator are the result of a random selection, find the probability that the evelator will be overloaded? P(elevator overloaded) = (Report answer accurate to 4 decimal places.) If the evelator is full (on average) 7 times a day, how many times will the evelator be overloaded in one (non-leap) year? number of times overloaded = (Report answer rounded to the nearest whole number.) Is there reason for concern? no, the current overload limit is adequate to insure the safety of the passengers yes, the current overload limit is not adequate to insure the safey of the passengers
NOTE: Answers using z-scores rounded to 3 (or more) decimal places will work for this problem.
The population of weights for men attending a local health club is normally distributed with a mean of 171-lbs and a standard deviation of 31-lbs. An elevator in the health club is limited to 32 occupants, but it will be overloaded if the total weight is in excess of 6048-lbs.
Assume that there are 32 men in the elevator. What is the average weight beyond which the elevator would be considered overloaded? average weight = lbs
What is the probability that one randomly selected male health club member will exceed this weight? P(one man exceeds) = (Report answer accurate to 4 decimal places.)
If we assume that 32 male occupants in the elevator are the result of a random selection, find the probability that the evelator will be overloaded? P(elevator overloaded) = (Report answer accurate to 4 decimal places.)
If the evelator is full (on average) 7 times a day, how many times will the evelator be overloaded in one (non-leap) year? number of times overloaded = (Report answer rounded to the nearest whole number.)
Is there reason for concern?
no, the current overload limit is adequate to insure the safety of the passengers
yes, the current overload limit is not adequate to insure the safey of the passengers
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
