suppose an elevator has a maximum capacity of 16 passengers with a total weight of 2500Lb. Assuming a worst case scenario in which the passengers are all male, what are the chances the elevator is overlloaded? Assume male weights follow a norml distribution with a mean of 182.9 Ib and a standard deviation of 40.8 Ib. A. for this problem is it necessary to use the central limit theorem? B. find the probability that 1 randomly eleced male has a weight greater than 156.25 Ib. C. find the probability that a sample of 16 males have a mean weight greater than 156.25 Ib(which puts the total weight at 2500 Ib, exceeding the maximum capacity)
suppose an elevator has a maximum capacity of 16 passengers with a total weight of 2500Lb. Assuming a worst case scenario in which the passengers are all male, what are the chances the elevator is overlloaded? Assume male weights follow a norml distribution with a mean of 182.9 Ib and a standard deviation of 40.8 Ib. A. for this problem is it necessary to use the central limit theorem? B. find the probability that 1 randomly eleced male has a weight greater than 156.25 Ib. C. find the probability that a sample of 16 males have a mean weight greater than 156.25 Ib(which puts the total weight at 2500 Ib, exceeding the maximum capacity)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
suppose an elevator has a maximum capacity of 16 passengers with a total weight of 2500Lb. Assuming a worst case scenario in which the passengers are all male, what are the chances the elevator is overlloaded? Assume male weights follow a norml distribution with a mean of 182.9 Ib and a standard deviation of 40.8 Ib.
A. for this problem is it necessary to use the central limit theorem?
B. find the probability that 1 randomly eleced male has a weight greater than 156.25 Ib.
C. find the probability that a sample of 16 males have a mean weight greater than 156.25 Ib(which puts the total weight at 2500 Ib, exceeding the maximum capacity)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,