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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 da configurations. Does the configuration appear to have an effect on type of failure? O Hot Pil State the appropriate hypotheses. Hot Pij = P₁. P.j = 1, 2, 3; j = 1, 2, 3, 4 H: at least one P, PP.j = OH₂¹ Pi Configuration 2 USE SALT Ho: Pij P₁. P. i = 1, 2, 3; j = 1, 2, 3, 4 H.: at least one P₁ = P₁ P.j = P.j H: at least one p = 123 i = 1, 2, 3; j = 1, 2, 3, 4 Failure Mode 1 3 4 22 44 17 9 4 19 7 12 10 31 5 H.: at least one P P.j i = 1, 2, 3; j = 1, 2, 3, 4 = What can you say about the P-value? 14 Compute the test statistic value. (Round your answer to three decimal places.)

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 da configurations. Does the configuration appear to have an effect on type of failure? O Hot Pil State the appropriate hypotheses. Hot Pij = P₁. P.j = 1, 2, 3; j = 1, 2, 3, 4 H: at least one P, PP.j = OH₂¹ Pi Configuration 2 USE SALT Ho: Pij P₁. P. i = 1, 2, 3; j = 1, 2, 3, 4 H.: at least one P₁ = P₁ P.j = P.j H: at least one p = 123 i = 1, 2, 3; j = 1, 2, 3, 4 Failure Mode 1 3 4 22 44 17 9 4 19 7 12 10 31 5 H.: at least one P P.j i = 1, 2, 3; j = 1, 2, 3, 4 = What can you say about the P-value? 14 Compute the test statistic value. (Round your answer to three decimal places.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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?

  Failure Mode
  1   2   3   4
  1   22   44   17 9
Configuration 2 4 19 7   12
  3 10 31 14 5
 

State the appropriate hypotheses.

H0: pij = pi· · p·j    i = 1, 2, 3; j = 1, 2, 3, 4

Ha: at least one pij ≠ 
pi· · p·j
H0: pij ≠ pi· · p·j    i = 1, 2, 3; j = 1, 2, 3, 4

Ha: at least one pij = 
pi· · p·j
    
H0: pij ≠ 
pi·
p·j
    i = 1, 2, 3; j = 1, 2, 3, 4

Ha: at least one pij = 
pi·
p·j
H0: pij = 
pi·
p·j
    i = 1, 2, 3; j = 1, 2, 3, 4

Ha: at least one pij ≠ 
pi·
p·j


Compute the test statistic value. (Round your answer to three decimal places.)
?2 =  

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 O H₂¹ P LUSE SALT State the appropriate hypotheses. Ho: Pj P.P. i = 1, 2, 3; j = 1, 2, 3, 4 H: at least one Pj P₁. P.j O Ho: Pil Ho: Pij P₁. P.; i = 1, 2, 3; j = 1, 2, 3, 4 H: at least one P₁ = P₁. P.j H: at least one pij Failure Mode 2 3 4 44 17 9 4 19 7 12 10 31 5 1 22 i = 1, 2, 3; j = 1, 2, 3, 4 P.j H: at least one Pij i = 1, 2, 3; j = 1, 2, 3, 4 P.j 14 Compute the test statistic value. (Round your answer to three decimal places.) x What can you say about the P-value?
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 O H₂¹ P LUSE SALT State the appropriate hypotheses. Ho: Pj P.P. i = 1, 2, 3; j = 1, 2, 3, 4 H: at least one Pj P₁. P.j O Ho: Pil Ho: Pij P₁. P.; i = 1, 2, 3; j = 1, 2, 3, 4 H: at least one P₁ = P₁. P.j H: at least one pij Failure Mode 2 3 4 44 17 9 4 19 7 12 10 31 5 1 22 i = 1, 2, 3; j = 1, 2, 3, 4 P.j H: at least one Pij i = 1, 2, 3; j = 1, 2, 3, 4 P.j 14 Compute the test statistic value. (Round your answer to three decimal places.) x What can you say about the P-value?
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