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? 1 Configuration 2 3 State the appropriate hypotheses. USE SALT O Ho: Pij P₁. P.j H₂: at least one pi Ho: Pij P. P. i=1, 2, 3; j = 1, 2, 3, 4 H₂: at least one p = P₁ P.j O Ho: Pij Pt. P.j H₂: at least one pij* Failure Mode 2 3 4 44 17 9 7 12 5 1 21 i = 1, 2, 3; j = 1, 2, 3, 4 Pi. P.j O Ho: Pij = P₁. Pj = 1, 2, 3; j = 1, 2, 3, 4 H₂: at least one P# Pi. • P.j 4 17 12 31 14 P₁ P.j i=1, 2, 3; j = 1, 2, 3, 4 Compute the test statistic value. (Round your answer to three decimal places.) x² =
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? 1 Configuration 2 3 State the appropriate hypotheses. USE SALT O Ho: Pij P₁. P.j H₂: at least one pi Ho: Pij P. P. i=1, 2, 3; j = 1, 2, 3, 4 H₂: at least one p = P₁ P.j O Ho: Pij Pt. P.j H₂: at least one pij* Failure Mode 2 3 4 44 17 9 7 12 5 1 21 i = 1, 2, 3; j = 1, 2, 3, 4 Pi. P.j O Ho: Pij = P₁. Pj = 1, 2, 3; j = 1, 2, 3, 4 H₂: at least one P# Pi. • P.j 4 17 12 31 14 P₁ P.j i=1, 2, 3; j = 1, 2, 3, 4 Compute the test statistic value. (Round your answer to three decimal places.) x² =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:What can you say about the P-value?
O P-value < 0.005
O 0.005 < P-value < 0.01
0.01 < P-value < 0.025
0.025 < P-value < 0.05
O 0.05 < P-value < 0.10
O P-value > 0.10
State the conclusion in the problem context. (Use a = 0.05.)
O Reject Ho. There is evidence that configuration has a significant effect on type of failure.
Fail to reject Ho. There is no 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.
Fail to reject Ho. There is evidence that configuration has a significant effect on type of failure.

Transcribed Image Text: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?
1
Configuration 2
3
State the appropriate hypotheses.
USE SALT
O Ho: Pij *
Ho: Pij P₁.P.j i=1, 2, 3; j = 1, 2, 3, 4
H₂: at least one P, Pi-P.j
Pii= 1, 2, 3; j = 1, 2, 3, 4
P.j
H₂: at least one Pij
O Ho: Pij
Failure Mode
2
3
44
17
4 17
12 31 14
Pi.
P.j
H₂: at least one pij #
1
21
Pi.
P.j
O Ho: Pij= P₁. P.; i = 1, 2, 3; j = 1, 2, 3, 4
H₂: at least one pij P₁. P.j
P₁.
P.j
i = 1, 2, 3; j = 1, 2, 3, 4
4
9
7 12
5
Compute the test statistic value. (Round your answer to three decimal places.)
x²
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