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 2 1 20 44 17 4 18 10 31 14 LAUSE SALT 1 Configuration 2 3 State the appropriate hypotheses. OHg: PP, P (1, 2, 3;/1, 2, 3, 4 H: at least one p, P, P OM: Pg" OMP P i 1, 2, 3/1, 2, 3, 4 Mas at least one p 1, 2, 3;1-1, 3, 3,4 H₂: at least one P, OH PP, P, 1, 2, 31/-1, 2, 3, 4 N: at least one PPP Compute the test statistic value. (Round your answer to three decimal places.) x-[ 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 4 9 7 12 S O 0.025 P-value < 0.05 O 0.05 P-value < 0.10 OP-value 0.10 State the conclusion in the problem context. (Use a 0.05.) O Reject H. There is no evidence that configuration has a significant effect on type of failure. O rail to reject H. There is no evidence that configuration has a significant effect on type of failure. O Fall to reject H There is evidence that configuration has a significant effect on type of failure. O Reject M. There is evidence that configuration has a significant effect on type of failure.
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 2 1 20 44 17 4 18 10 31 14 LAUSE SALT 1 Configuration 2 3 State the appropriate hypotheses. OHg: PP, P (1, 2, 3;/1, 2, 3, 4 H: at least one p, P, P OM: Pg" OMP P i 1, 2, 3/1, 2, 3, 4 Mas at least one p 1, 2, 3;1-1, 3, 3,4 H₂: at least one P, OH PP, P, 1, 2, 31/-1, 2, 3, 4 N: at least one PPP Compute the test statistic value. (Round your answer to three decimal places.) x-[ 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 4 9 7 12 S O 0.025 P-value < 0.05 O 0.05 P-value < 0.10 OP-value 0.10 State the conclusion in the problem context. (Use a 0.05.) O Reject H. There is no evidence that configuration has a significant effect on type of failure. O rail to reject H. There is no evidence that configuration has a significant effect on type of failure. O Fall to reject H There is evidence that configuration has a significant effect on type of failure. O Reject M. There is evidence that configuration has a significant effect on type of failure.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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?
Failure Mode
1
Configuration 2
3
LAUSE SALT
OMGP
State the appropriate hypotheses.
OHP PP. i=1, 2, 3; /= 1, 2, 3, 4
H: at least one P = P₁, P₁₁
O M₁: P = P i= 1, 2, 3; /= 1, 2, 3, 4
H: at least one P
1
2 3
20 44 17
4 18
10 31 14
/= 1, 2, 3; /= 1, 2, 3, 4
P
H: at least one p
P.₁
OH PPP.j ¡= 1, 2, 3; /= 1, 2, 3, 4
H₂: at least one p = P₁. P.₁
4
9
7 12
5
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
O P-value> 0.10
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 Reject H. There is no evidence that configuration has a significant effect on type of failure.
O Fail to reject H. There is no evidence that configuration has a significant effect on type of failure.
O Fail to reject Ho. There is evidence that configuration has a significant effect on type of failure.
O Reject H. There is evidence that configuration has a significant effect on type of failure.
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