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Name: A corporation has a fleet of 480 company cars—100 compact, 180 midsize
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Description: A corporation has a fleet of 480 company cars—100 compact, 180 midsize, and 200 full size. To estimate the overall mean annual repair costs for these cars, a preliminary random sample of 10 cars of each type is selected. The sample standard deviation

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 corporation has a fleet of 480 company cars—100 compact, 180 midsize, and 200 full size. To estimate the overall mean annual repair costs for these cars, a preliminary random sample of 10 cars of each type is selected. The sample standard deviations for repair costs are $105 for compact cars, $162 for midsize cars, and $183 for full-size cars. A 95% confidence interval for the overall population mean annual repair cost per car that extends $20 on each side of the sample point estimate is required. Estimate the smallest total number of additional sample observations that must be taken.

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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