Answered: 6. A manufacturer advertised the median…

Name: 6. A manufacturer advertised the median life of an aircraft spark plug
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Description: 6. A manufacturer advertised the median life of an aircraft spark plug as 800 service hours. The FAA doubted the claim and checked a random sample of logbooks on 50 types of planes using this type of plug. In 12 types of airplanes, the spark plugs la

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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6. A manufacturer advertised the median life of an aircraft spark plug as 800 service hours. The FAA doubted the claim and checked a random sample of logbooks on 50 types of planes using this type of plug. In 12 types of airplanes, the spark plugs lasted more than 800 hours (+), but they lasted fewer hours (–) in the remaining 38 airplane types. Was the advertising claim correct? Make an appropriate hypothesis test at the 5 percent level of significance.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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