Answered: Using EXCEL, develop a 95% confidence…

Name: GM is interested is interested in learning more about customer satisfa
Uploaded: 2024-03-20T07:07:12.000Z
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Description: GM is interested is interested in learning more about customer satisfaction with the performance of one of their automobiles. Several customers appear to be unhappy and have complained about early transmission failures. To learn more about this probl

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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GM is interested is interested in learning more about customer satisfaction with the performance of one of their automobiles. Several customers appear to be unhappy and have complained about early transmission failures. To learn more about this problem, GM wants to estimate the “Average Miles driven” before the failure occurred. For this GM used a random sample of actual transmission repairs on cars from their domestic dealerships. Following data (sent to you as a separate EXCEL file via e-mail) shows the actual number of miles driven at the time of transmission failure for 50 randomly chosen vehicles.

85,092	32,609	59,465	77,437	32,534	64,090	32,464	59,902
39,323	89,641	94,219	116,803	92,857	63,436	65,605	85,861
64,342	61,978	67,998	59,817	101,769	95,774	121,352	69,568
74,276	66,998	40,001	72,069	25,066	77,098	69,922	35,662
74,425	67,202	118,444	53,500	79,294	64,544	86,813	116,269
37,831	89,341	73,341	85,288	138,114	53,402	85,586	82,256
77,539	88,798

Using EXCEL, develop a 95% confidence Interval estimate for the Mean number of miles driven until the transmission failure for the population of GM automobiles that had a transmission failure. What is your interpretation of this “Interval Estimate”?

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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