To investigate the question of whether the tensile strength of two materials A and B is different, samples of these materials weretaken and their tensile strength determined. The following values were found inN /mm?A. 342 348 350 349 353 356 344 353 347 358B. 358 349 353 366 373370 373 356 369 373Has the materials Ba very significantly higher tensile strength?Name of the test procedure:O Wilcoxon test with NV approximationOu-test with NV approximationOt-test for dependent samplesO Welch testOt-test for independent samples with homogeneous variancesLevel of significance a:O 0.5O 0.05O 0.1O 0.01O 0.001Sensible alternative: Level of significance a:O0.5O 0.05O 0.1O 0.01O 0.001Sensible alternative:O H1O H2O H3Test variable z:(± 0.02Critical valuec:(± 0.02Null hypothesisHo accept:The material B.has a very significantly higher tensile strength:Comment:

Name: To investigate the question of whether the tensile strength of two ma
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Description: To investigate the question of whether the tensile strength of two materials A and B is different, samples of these materials weretaken and their tensile strength determined. The following values were found inN /mm?A. 342 348 350 349 353 356 344 353

Answered: To investigate the question of whether…

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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Level of significance a:
O0.5
O 0.05
O 0.1
O 0.01
O 0.001
Sensible alternative:
O H1
O H2
O H3
Test variable z:
(± 0.02
Critical valuec:
(± 0.02
Null hypothesisHo accept:
The material B.has a very significantly higher tensile strength:
Comment:

Expert Solution

Step 1

1.Name of the test procedure:

t-test for independent sample with homogeneous varience.

explanation: Here we have to test tensile strength of two different material. there strength is independent of each other .Hence t-test for independent sample with homogeneous variance is used.

Level of significance=

0.05.

LOS is usually mentioned in the problem, but when it's not mentioned. we generally consider LOS=0.05.

Sensible alternative

H₁

An alternative hypothesis is denoted by H₁

which is in this case : H₁: $μ_{A} < μ_{B}$

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