A statistical program is recommended. An article reported data on potential drop measurements for one sample of connectors wired with alloy aluminum and another sample wired with EC aluminum. Does the accompanying computer output suggest that the true average potential drop for alloy connections (type 1) is higher than that for EC connections (as stated in the article)? Carry out the appropriate test using a significance level of 0.01. [Note: The computer output reports the P-value for a two-tailed test.) (Use , for alloy connections and ₂ for EC connections.) Mean N 21 16.49600000 21 15.90000000 Type 1 2 T DF Variances Unequal 3.7074 39.5 Equal 3.7074 40.0 State the relevant hypotheses. OH₂H₂H₂O Mo: H₁-H₂0 H₁1 H₁-H₂ <0 Hoi H₂-H₂ <0 Mil-de- H₂H₁-H₂0 Ho: 4₂-₂0 Std Dev 0.55012821 0.48998389 Prob>ITI 0.0006 0.0006 Std Error 0.12004782 0.10692325 Find the test statistic and P-value using the output. (Enter your answers to four decimal places.) P-value- State the conclusion in the problem context. O Fail to reject Ho. The data suggest that the true average potential drop for alloy connections is higher than that for EC connections. O Fail to reject Ho. The data do not suggest that the true average potential drop for alloy connections is higher than that for EC connections. O Reject Ho. The data suggest that the the true average potential drop for alloy connections is higher than that for EC connections. O Reject Ho. The data do not suggest that the true average potential drop for alloy connections is higher than that for EC connections. In reaching your conclusion, what type of error might you have committed?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A statistical program is recommended.
An article reported data on potential drop measurements for one sample of connectors wired with alloy aluminum and another sample wired with EC aluminum. Does the accompanying computer output suggest that the true average potential drop for alloy connections (type 1) is higher than that for EC connections (as stated in
the article)? Carry out the appropriate test using a significance level of 0.01. [Note: The computer output reports the P-value for a two-tailed test.] (Use, for alloy connections and ₂ for EC connections.)
Type
1
2
O Ho: M₁
H₂: M₁
Variances
Unequal
Equal
State the relevant hypotheses.
O Ho: M₁ - 4₂0
H₂H₁ H₂ = 0
O H₂:₁₂ = 0
H₂H₁
H₂ <0
M₂ <0
M₂ = 0
N
21
21
Ọ Hỏi thì thay = 0
H₂: H₁
H₂ > 0
Ho: M₁
M₂ = 0
H₂H₁M₂ #0
Mean
16.49600000
15.90000000
T
3.7074
3.7074
DF
39.5
40.0
Std Dev
0.55012821
0.48998389
Prob>|T|
0.0006
0.0006
Std Error
0.12004782
0.10692325
Find the test statistic and P-value using the output. (Enter your answers to four decimal places.)
t =
P-value=
State the conclusion in the problem context.
O Fail to reject Ho. The data suggest that the true average potential drop for alloy connections is higher than that for EC connections.
O Fail to reject Ho. The data do not suggest that the true average potential drop for alloy connections is higher than that for EC connections.
O Reject Ho. The data suggest that the the true average potential drop for alloy connections is higher than that for EC connections.
O Reject Ho. The data do not suggest that the true average potential drop for alloy connections is higher than that for EC connections.
In reaching your conclusion, what type of error might you have committed?
O Type I Error
O Type II Error
Transcribed Image Text:A statistical program is recommended. An article reported data on potential drop measurements for one sample of connectors wired with alloy aluminum and another sample wired with EC aluminum. Does the accompanying computer output suggest that the true average potential drop for alloy connections (type 1) is higher than that for EC connections (as stated in the article)? Carry out the appropriate test using a significance level of 0.01. [Note: The computer output reports the P-value for a two-tailed test.] (Use, for alloy connections and ₂ for EC connections.) Type 1 2 O Ho: M₁ H₂: M₁ Variances Unequal Equal State the relevant hypotheses. O Ho: M₁ - 4₂0 H₂H₁ H₂ = 0 O H₂:₁₂ = 0 H₂H₁ H₂ <0 M₂ <0 M₂ = 0 N 21 21 Ọ Hỏi thì thay = 0 H₂: H₁ H₂ > 0 Ho: M₁ M₂ = 0 H₂H₁M₂ #0 Mean 16.49600000 15.90000000 T 3.7074 3.7074 DF 39.5 40.0 Std Dev 0.55012821 0.48998389 Prob>|T| 0.0006 0.0006 Std Error 0.12004782 0.10692325 Find the test statistic and P-value using the output. (Enter your answers to four decimal places.) t = P-value= State the conclusion in the problem context. O Fail to reject Ho. The data suggest that the true average potential drop for alloy connections is higher than that for EC connections. O Fail to reject Ho. The data do not suggest that the true average potential drop for alloy connections is higher than that for EC connections. O Reject Ho. The data suggest that the the true average potential drop for alloy connections is higher than that for EC connections. O Reject Ho. The data do not suggest that the true average potential drop for alloy connections is higher than that for EC connections. In reaching your conclusion, what type of error might you have committed? O Type I Error O Type II Error
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