Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasivewear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples ofmaterial 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 and standard deviation of wear are 71 = 22 milligrams/1000 cycles and s1 = 2 milligrams/1000 cycles, while forcompany 2 they are 72 = 12 milligrams/1000 cycles and s2 = 8 milligrams/1000 cycles. Use a = 0.05 and assume each population isnormally distributed but that their variances are not equal.(a) Test the hypothesis Ho : H1 = µ2 vs H1 : µ1 # H2.Calculate to =Round your answer to two decimal places (e.g. 98.76).(b) Do the data support the claim that the two companies produce material with different mean wear?(c) Do the data support a claim that the material from company 1 has higher mean wear than the material from company 2?

Solution: Given information: n1= 25 Sample size of company 1n2= 25 Sample size of company 2x1= 22…

wo companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasiv vear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of naterial from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, he sample mean and standard deviation of wear are 71= 22 milligrams/1000 cycles and s1 = 2 milligrams/1000 cycles, while for ompany 2 they are 72 = 12 milligrams/1000 cycles and s2 = 8 milligrams/1000 cycles. Use a = 0.05 and assume each population ormally distributed but that their variances are not equal. a) Test the hypothesis Ho : µ1 = H2 vs H1 : µ1 H2. Calculate to = i Round your answer to two decimal places (e.g. 98.76). b) Do the data support the claim that the two companies produce material with different mean wear? c) Do the data support a claim that the material from company 1 has higher mean wear than the material from company 2?

wo companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasiv vear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of naterial from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, he sample mean and standard deviation of wear are 71= 22 milligrams/1000 cycles and s1 = 2 milligrams/1000 cycles, while for ompany 2 they are 72 = 12 milligrams/1000 cycles and s2 = 8 milligrams/1000 cycles. Use a = 0.05 and assume each population ormally distributed but that their variances are not equal. a) Test the hypothesis Ho : µ1 = H2 vs H1 : µ1 H2. Calculate to = i Round your answer to two decimal places (e.g. 98.76). b) Do the data support the claim that the two companies produce material with different mean wear? c) Do the data support a claim that the material from company 1 has higher mean wear than the material from company 2?

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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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. Twenty-five 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 and standard deviation of wear are 71 = 22 milligrams/1000 cycles and s1 = 2 milligrams/1000 cycles, while for
company 2 they are 72 = 12 milligrams/1000 cycles and s2 = 8 milligrams/1000 cycles. Use a = 0.05 and assume each population is
normally distributed but that their variances are not equal.
(a) Test the hypothesis Ho : H1 = µ2 vs H1 : µ1 # H2.
Calculate to =
Round your answer to two decimal places (e.g. 98.76).
(b) Do the data support the claim that the two companies produce material with different mean wear?
(c) Do the data support a claim that the material from company 1 has higher mean wear than the material from company 2?

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