statistics
posted by Kara .
A sign is posted in an elevator stating that the maximum number of people allowed is 25, and that the maximum weight capacity is 4000lbs. Suppose the distribution of the variable Weight (among the population using the elevator) is normal with mean 150lbs and standard deviation 30lbs. What is the probability that a randomly selected group of 25 people will exceed the maximum weight capacity? What should the maximum number of people allowed be if the probability of the maximum weight capacity being exceeded is to be at most .00001?

statistics 
Let's see how well you do on tests
SD : sd / sqrt(n) = 30/5 = 6
mU : 150
avg (x) : 4000 / 25 = 160
p(x > 4000) = 1  phi[(160  1/2  150) / 6]
Use calculator to calculate phi.
Respond to this Question
Similar Questions

physics
Apparent Weight. A physics student weighing 600 N stands on a bathroom scale in an elevator. As the elevator starts moving, the scale reads 420 N . A )Find the magnitude of the acceleration of the elevator. B ) Find the direction of … 
Physics
Safety engineers estimate that an elevator can hold 20 persons of 65 kg average mass. The elevator itself has amass of 450 kg. Tensile strength tests show that the cable supporting the elevator can tolerate a maximum force of 2.94e4 … 
physics
It takes the elevator in a skyscraper 3.6 s to reach its cruising speed of 10 m/s. A 69 kg passenger gets aboard on the ground floor. 1.What is the passenger's weight before the elevator starts moving? 
science
Suppose you hang an object of weight W by a string from a hanging spring scale, such as the kind used in some grocery stores. You then hang the scale with the object from the ceiling of an elevator. When the elevator is standing still, … 
Statistics
In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 people. in addition there is a weight limit of 2500 lbs. assume that the average weight of students, faculty, and staff on campus is … 
Statistics
In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 people. in addition there is a weight limit of 2500 lbs. assume that the average weight of students, faculty, and staff on campus is … 
Vector
Your engineering firm plans to design an elevator for a hospital. The force exerted on a passenger by the floor of the elevator is not to exceed 1.60 times the passenger¡¦s weight. The elevator accelerates upward with constant acceleration … 
Physics
An elevator in a tall building is allowed to reach a maximum speed of 3.55 m/s going down. What must the tension be in the cable to stop this elevator over a distance of 2.30 m if the elevator has a mass of 1270 kg including occupants? 
statistics
Case Study Chapter 6 and 7 FOR FULL CREDIT SHOW EQUATIONS USED AND WORK. ELEVATOR CAPACITY: Suppose an elevator has a maximum capacity of 16 passengers with a total weight of 2500 lbs. The mean weight of females is less than the mean … 
Physics
While in an elevator, you decide to take some weight readings of yourself to determine the elevator’s acceleration. When the elevator is stopped, you read a weight of 59.2 kg. When the elevator is moving, you measure a maximum weight …