Three different design configurations are being considered for a particular component. There are four possible failure modes for the component. An engineer obtained the following data on number of failures in each mode for each of the three configurations. configuration appear to have an effect on type of failure? 1 Configuration 2 3 USE SALT State the appropriate hypotheses. O Hot Py = Ho: PPrPj i=1, 2, 3; j = 1, 2, 3, 4 H: at least one PP₁ Py O Ho: Py*P₁. P. i=1, 2, 3; j = 1, 2, 3, 4 H₁: at least one p = Pr Pj Pi P. H: at least one p O Ho: Pu P Failure Mode 1 2 3 4 20 44 17 9 4 17 7 12 12 31 14 5 1, 2, 3; j = 1, 2, 3, 4 i= 1, 2, 3; j = 1, 2, 3, 4 Pr P.j H: at least one P = Compute the test statistic value. (Round your answer to three decimal places.) x² = What can you say about the P-value? OP-value < 0.005 O 0.005 < P-value < 0.01 O 0.01 < P-value < 0.025 O 0.025 < P-value < 0.05 O 0.05 < P-value < 0.10 OP-value> 0.10

Three different design configurations are being considered for a particular component. There are four possible failure modes for the component. An engineer obtained the following data on number of failures in each mode for each of the three configurations. configuration appear to have an effect on type of failure? 1 Configuration 2 3 USE SALT State the appropriate hypotheses. O Hot Py = Ho: PPrPj i=1, 2, 3; j = 1, 2, 3, 4 H: at least one PP₁ Py O Ho: Py*P₁. P. i=1, 2, 3; j = 1, 2, 3, 4 H₁: at least one p = Pr Pj Pi P. H: at least one p O Ho: Pu P Failure Mode 1 2 3 4 20 44 17 9 4 17 7 12 12 31 14 5 1, 2, 3; j = 1, 2, 3, 4 i= 1, 2, 3; j = 1, 2, 3, 4 Pr P.j H: at least one P = Compute the test statistic value. (Round your answer to three decimal places.) x² = What can you say about the P-value? OP-value < 0.005 O 0.005 < P-value < 0.01 O 0.01 < P-value < 0.025 O 0.025 < P-value < 0.05 O 0.05 < P-value < 0.10 OP-value> 0.10

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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Three different design configurations are being considered for a particular component. There are four possible failure modes for the component. An engineer obtained the following data on number of failures in each mode for each of the three configurations. Does the
configuration appear to have an effect on type of failure?
State the appropriate hypotheses.
1
Configuration 2
3
O Ho: Pij
USE SALT
=
Ho: Pij = P₁. P.j i=1, 2, 3; j = 1, 2, 3, 4
H₂: at least one Pij Pi. • P.j
O Ho: Pij
Ho: Pij P₁.P.j i = 1, 2, 3; j = 1, 2, 3, 4
H₂: at least one Pij = P₁. P.j
Pi.
P.j
H₂: at least one Pij *
Pi.
P.j
Ha: at least one Pij
Failure Mode
3
17
1
20
4
12
i = 1, 2, 3; j = 1, 2, 3, 4
P₁.
P.j
i = 1, 2, 3; j = 1, 2, 3, 4
P₁
P.j
2
44
17
31 14
What can you say about the P-value?
O P-value < 0.005
O 0.005 < P-value < 0.01
O 0.01 < P-value < 0.025
O 0.025 < P-value < 0.05
O 0.05 < P-value < 0.10
OP-value > 0.10
4
9
7 12
5
Compute the test statistic value. (Round your answer to three decimal places.)
x² =

State the conclusion in the problem context. (Use a = 0.05.)
O Fail to reject Ho. There is no evidence that configuration has a significant effect on type of failure.
Fail to reject Ho. There is evidence that configuration has a significant effect on type of failure.
Reject Ho. There is evidence that configuration has a significant effect on type of failure.
Reject Ho. There is no evidence that configuration has a significant effect on type of failure.
You may need to use the appropriate table in the Appendix of Tables to answer this question.

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