Answered: Airlines tend to overbook their flights…

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

Question

Airlines tend to overbook their flights because they assume a certain percentage of people will be 'no shows' due to change in plans or late connecting flights. A recent study suggested that 86% of people actually show up for their flight on time.

A random sample of 222 booked passengers is taken and whether or not they showed up on time is recorded for each of them.

The Central Limit Theorem for proportions says that the sampling distribution of the proportion of people who show up on time for their flight will have a Normal shape.

(a) Give the center and standard error for the sampling distribution of proportions. Round to four decimal places as needed.

mean = and standard error =

(b) What is the probability that at least 88% of the randomly selected booked passengers showed up on time?

P(ˆp ≥0.88)=

P(0.82≤ˆp ≤0.9)=

(d) Is 83% an unusually low percentage of booked passengers that show up on time for their flight in a sample of 222?

Since its z-score = , 83% (is/ is not) an unusually low percentage of booked passengers that show up on time for their flight in a sample of 222.

e) Is 80% an unusually low percentage of booked passengers that show up on time for their flight in a sample of 222?

Since its z-score = , 80% (is/ is not) an unusually low percentage of booked passengers that show up on time for their flight in a sample of 222.

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