Answered: An elevator has a placard stating that…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

100%

An elevator has a placard stating that the maximum capacity is 2610 lb—15 passengers. So, 15 adult male passengers can have a mean weight of up to 2610/15=174 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 174 lb. (Assume that weights of males are normally distributed with a mean of 177 lb and a standard deviation of 26 lb .)

Does this elevator appear to be safe?

1. The probability the elevator is overloaded is____

2. Does the elevator appear safe? (choose the best answer below)

A - No, 15 randomly selected people will never be under wright

B - Yes, 15 randomly selected adult male passengers will always be under the weight limit.

C - No, there is a good chance that 15 randomly selected adult male passengers will exceed the elevator capacity.

D - Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity.

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

Step 1

Given information:

Maximum capacity of an elevator = 2610 lb

Number of passengers $(n) = 15$

Mean weight of each passenger $(\bar{X}) = 174$

Population mean weight of males $(μ) = 177$ lb

Population standard deviation of males $(σ) = 26$ lb

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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.

Similar questions