Question: 4 . A new actuarial test (Test A) was developed as a possible replacement for an old actuarial test (Test B). An actuary claimed that

4. 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 the complete the 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=10X bar=150 minutes,S²=30 minutes

(a)At =10%, explain and use the Classical approach to test the actuary's claim.

(b) Use P-value approach to conclude it.

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