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Name: A specialty company manufactures ceramic brake pads for use in passeng
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A specialty company manufactures ceramic brake pads for use in passenger aircraft brakes, and they have to meet certain strength requirements. The company makes these pads at two facilities, one in Kansas and the other in Florida. Ideally, these two

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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A specialty company manufactures ceramic brake pads for use in passenger aircraft brakes, and they have to meet certain strength requirements. The company makes these pads at two facilities, one in Kansas and the other in Florida. Ideally, these two facilities should be manufacturing pads to the same consistent quality. Two samples were obtained from the facilities, and the sample statistics are shown below. Kansas Florida Number of pads = 240 mean = 688.9987 standard deviation = 65.54909 Number of pads = 240 mean = 611.1559 standard deviation = 61.85425 Based on the data, and at a 5% level of significance, is there any difference in the variability of the strength of pads produced by these two facilities?

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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