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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Electronic ticketing allow passenger to not worry about a paper ticket, and it cost the airline companies less to handle than paper ticketing. however in recent time the airline have receive complaints from passengers regarding their eticket, particularly when cannecting flights and a change of airlines were involved. To investigates a problem an independent watchdog agency contacts a random sample of 20 airport and collected information on the number of complains the airport had with etickets for the month of March. At the 0.05 significance level, can the watchdog agency concludes the mean number of complains per airport is less than 15 per month. conduct a test of hypothesis and interprets the results. What is the decision rule and computes the value of so test statistics.

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 + ...

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