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Name: Allstate Batteries advertises and sells a 4 year (48 months) battery.
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Allstate Batteries advertises and sells a 4 year (48 months) battery. You work at Consumer Digest, a consumer advocacy organization, and have been receiving complaints from consumers who felt they were not receiving their full 48 months. Test Allst

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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Allstate Batteries advertises and sells a 4 year (48 months) battery. You work at Consumer Digest, a consumer advocacy organization, and have been receiving complaints from consumers who felt they were not receiving their full 48 months. Test Allstate’s claim that these are 48 month batteries at the 5% level of significance. You have tested a sample of 36 cars and found a mean of 45months and a standard deviation of 1 month. State the appropriate hypotheses from the consumers’ point of view, show drawing and appropriate critical value, compute the appropriate test statistic, accept(fail to reject)/reject the null hypothesis and draw conclusion. Do you believe the batteries are as advertised?

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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