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 LAUSE SALT State the appropriate hypotheses. O Ho: Pg - B O Ho: Py Failure Mode 2 3 4 44 17 9 18 7 12 31 14 5 1 22 12 -1, 2, 3; -1, 2, 3, 4 H.: at least one p Ho: PD₁ D₂ 1-1, 2, 3:1-1, 2, 3, 4 H.: at least one p, P. P.; -1, 2, 3; -1, 2, 3, 4 H.: at least one p HP P₁ P₂ -1, 2, 3: 1-1, 2, 3, 4 H.: at least one p, P. P.₂ 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 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 LAUSE SALT State the appropriate hypotheses. O Ho: Pg - B O Ho: Py Failure Mode 2 3 4 44 17 9 18 7 12 31 14 5 1 22 12 -1, 2, 3; -1, 2, 3, 4 H.: at least one p Ho: PD₁ D₂ 1-1, 2, 3:1-1, 2, 3, 4 H.: at least one p, P. P.; -1, 2, 3; -1, 2, 3, 4 H.: at least one p HP P₁ P₂ -1, 2, 3: 1-1, 2, 3, 4 H.: at least one p, P. P.₂ Compute the test statistic value. (Round your answer to three decimal places.)
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I need the test static value, please help.
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?
| Ho: Pij
State the appropriate hypotheses.
Pi.
O Ho: Pij
P.j
H₂: at least one pi; *
1
Configuration 2
3
USE SALT
Pi.
O Ho: Pij*.
#
H₂: at least one P= P₁. P.j
H₂: at least
Failure Mode
2
3
44 17
1
22
P.j
P₁. • P.; i = 1, 2, 3; j = 1, 2, 3, 4
4 18
i = 1, 2, 3; j = 1, 2, 3, 4
one Pij
12
i = 1, 2, 3; j = 1, 2, 3, 4
31 14
P.j
Ho: Pij= P₁. P.; i = 1, 2, 3; j = 1, 2, 3, 4
H₂: at least one P₁, P₁. P.j
4
9
7 12
5
Compute the test statistic value. (Round your answer to three decimal places.)
x² = [
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