suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring liz claiborne attire with those of calvin klein. the following is the amount ($000) earned per month by a sample of claiborne models:

$5.0 4.5 3.4 3.4 6.0 3.3 4.5 4.6 3.5 5.2
4.8 4.4 4.6 3.6 5.0

the following is the amount ($000) earned by a sample of calvin klein models:

$3.1 3.7 3.6 4.0 3.8 3.8 5.9 4.9 3.6 3.6
2.3 4.0

is it reasonable to conclude that claiborne models earn more? use the .05 significance level and assume the population standard deviations are not the same.