A new actuarial test (Test A) was developed as a possible replacement for an old actuarial test (Test B). An actuary claimed that the mean time to complete the new test A was more than the mean time...

 A new actuarial test (Test A) was developed as a possible replacement for an old actuarial test (Test B). An actuary claimed that the mean time to complete the new test A was more than the mean time to complete an old test B. The summary data for completion time (in minutes) are as follows.

Test A : n=9,  X bar=160 minutes,  S2=180 minutes

Test B : n=10  X bar=150 minutes,  S2=30 minutes

1. At α=10%, use the Classical approach to test the actuary’s claim.

1. Using P-value approach to conclude it.