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

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 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. 
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