A statistical program is recommended. An article reported data on potential drop

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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 1 for alloy connections and 2 for EC connections.) Type N Mean Std Dev Std Error 1 20 18.49200000 0.55012821 0.12301241 2 20 17.90000000 0.48998389 0.10956373 Variances T DF Prob>|T| Unequal 3.5937 37.5 0.0009 Equal 3.5937 38.0 0.0009 State the relevant hypotheses. H0: 1 2 = 0
Ha: 1 2 0H0: 1 2 = 0
Ha: 1 2 < 0    H0: 1 2 = 0
Ha: 1 2 > 0H0: 1 2 < 0
Ha: 1 2 = 0H0: 1 2 > 0
Ha: 1 2 = 0 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. Reject H0. The data suggest that the the true average potential drop for alloy connections is higher than that for EC connections.Fail to reject H0. The data do not suggest that the true average potential drop for alloy connections is higher than that for EC connections.    Fail to reject H0. The data suggest that the true average potential drop for alloy connections is higher than that for EC connections.Reject H0. 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? Type I ErrorType II Error    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 1 for alloy connections and 2 for EC connections.) Type N Mean Std Dev Std Error 1 20 18.49200000 0.55012821 0.12301241 2 20 17.90000000 0.48998389 0.10956373 Variances T DF Prob>|T| Unequal 3.5937 37.5 0.0009 Equal 3.5937 38.0 0.0009 State the relevant hypotheses. H0: 1 2 = 0
Ha: 1 2 0H0: 1 2 = 0
Ha: 1 2 < 0    H0: 1 2 = 0
Ha: 1 2 > 0H0: 1 2 < 0
Ha: 1 2 = 0H0: 1 2 > 0
Ha: 1 2 = 0 H0: 1 2 = 0
Ha: 1 2 0H0: 1 2 = 0
Ha: 1 2 < 0    H0: 1 2 = 0
Ha: 1 2 > 0H0: 1 2 < 0
Ha: 1 2 = 0H0: 1 2 > 0
Ha: 1 2 = 0 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. Reject H0. The data suggest that the the true average potential drop for alloy connections is higher than that for EC connections.Fail to reject H0. The data do not suggest that the true average potential drop for alloy connections is higher than that for EC connections.    Fail to reject H0. The data suggest that the true average potential drop for alloy connections is higher than that for EC connections.Reject H0. The data do not suggest that the true average potential drop for alloy connections is higher than that for EC connections. Reject H0. The data suggest that the the true average potential drop for alloy connections is higher than that for EC connections.Fail to reject H0. The data do not suggest that the true average potential drop for alloy connections is higher than that for EC connections.    Fail to reject H0. The data suggest that the true average potential drop for alloy connections is higher than that for EC connections.Reject H0. 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? Type I ErrorType II Error    Type I ErrorType II Error    Type N Mean Std Dev Std Error 1 20 18.49200000 0.55012821 0.12301241 2 20 17.90000000 0.48998389 0.10956373

Explanation / Answer

1)

H0: 1 2 = 0
Ha: 1 2 > 0

2)

from above given output:

t =3.5937

p value =0.0004 ( please try 0.0005 if this does not work due to rounding error )

Reject H0. The data suggest that the the true average potential drop for alloy connections is higher than that for EC connections.

as we are rejecting null hypothesis ; this leads to Type I Error

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