Problem # 9: Nationwide, the average salary of actuaries who
achieve the rank of Fellow is $151,000. An insurance executive
wants to see how this compares with Fellows within his company. He
checked the salaries of 12 Fellows and finds the average salary to
be $156,000 with the standard deviation of $10,000. Can he conclude
that Fellows in his company make more than the national average,
using 0.01 level of significance? Find the test value.