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...

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.