Test A was developed as a possible replacement for Test B. It was claimed that the mean time to complete Test A was more than the mean time to finish Test B. (a) At α = 5%, use the Classical approach to conclude it. (b) Using the P-value approach to conclude it. Please see a summary of data for completion times below: Test A : n=7, X bar=158 minutes, S2=165 minutes Test B : n=11 X bar=152 minutes, S2=33 minutes Estimate of standard error=16 **Notes-P-value: Using t-distribution, the p-value is equal to 0.1307 for a one-tailed test. P-value 0.1307> significance level a=0.10, therefore, we fail to reject. Additionally, there is not enough evidence to support the claim that mean time to complete the new test A is more than the meantime to complete test B.
Test A was developed as a possible replacement for Test B. It was claimed that the
(a) At α = 5%, use the Classical approach to conclude it.
(b) Using the P-value approach to conclude it.
Please see a summary of data for completion times below:
Test A : n=7, X bar=158 minutes, S2=165 minutes
Test B : n=11 X bar=152 minutes, S2=33 minutes
Estimate of standard error=16
**Notes-P-value: Using t-distribution, the p-value is equal to 0.1307 for a one-tailed test. P-value 0.1307> significance level a=0.10, therefore, we fail to reject. Additionally, there is not enough evidence to support the claim that mean time to complete the new test A is more than the meantime to complete test B.
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