She interviews 34 randomly selected people who train in groups, and finds that they run a mean of 44.2 miles per week. Assume that the population standard deviation for group runners is known to be 2.5 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 45.1 miles per week. Assume that the population standard deviation for people who run by themselves is 1.1 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Required:
Compute the value of the test statistic.