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

a.At α=10%, use the Classical approach to test the actuary’s claim.
b.Using the P-value approach to conclude it.