Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. A random sample of 35 samples of material from each company are tested in an abrasion test and the amount of wear after 1000 cycles is observed. For company 1, the sample mean of wear is X1 = 22 mg/ 1000 cycles and sample standard deviation of wear is S1 = 3 mg/ 1000 cycles, while for company 2, we obtain X, = 25 mg/ 1000 cycles and sample standard deviation of wear is S, = 9 mg/ 1000 cycles. Test the hypothesis that the two companies produce material with different mean wear. Use a = 0.01. (i) Critical Region: or z > (Give your answer to 3 decimal places.) (ii) Test Statistic: z = (Give your answer to 3 decimal places.) (ii) Do we reject or fail to reject the null hypothesis? OReject Ho OFail to reject Ho

Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. A random sample of 35 samples of material from each company are tested in an abrasion test and the amount of wear after 1000 cycles is observed. For company 1, the sample mean of wear is X1 = 22 mg/ 1000 cycles and sample standard deviation of wear is S1 = 3 mg/ 1000 cycles, while for company 2, we obtain X, = 25 mg/ 1000 cycles and sample standard deviation of wear is S, = 9 mg/ 1000 cycles. Test the hypothesis that the two companies produce material with different mean wear. Use a = 0.01. (i) Critical Region: or z > (Give your answer to 3 decimal places.) (ii) Test Statistic: z = (Give your answer to 3 decimal places.) (ii) Do we reject or fail to reject the null hypothesis? OReject Ho OFail to reject Ho

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Description: Two companies manufacture a rubber material intended for use in an automotive application. The part will besubjected to abrasive wear in the field application, so we decide to compare the material produced by eachcompany in a test. A random sample o

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

Two companies manufacture a rubber material intended for use in an automotive application. The part will be
subjected to abrasive wear in the field application, so we decide to compare the material produced by each
company in a test. A random sample of 35 samples of material from each company are tested in an abrasion
test and the amount of wear after 1000 cycles is observed. For company 1, the sample mean of wear is
X1 = 22 mg/ 1000 cycles and sample standard deviation of wear is S1 = 3 mg/ 1000 cycles, while for
company 2, we obtain X, = 25 mg/ 1000 cycles and sample standard deviation of wear is S, = 9 mg/ 1000
%3D
cycles. Test the hypothesis that the two companies produce material with different mean wear. Use a = 0.01.
(1) Critical Region:
or z >
(Give your answer to 3 decimal places.)
(ii) Test Statistic: z =
(Give your answer to 3 decimal places.)
(iii) Do we reject or fail to reject the null hypothesis?
OReject H,
OFail to reject Ho

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