Question

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 (Population LC) with those of Calvin Klein (Population CK). Assume the (unknown) population variances are not equal. The following is the amount ($000) earned per month by a sample of Claiborne models:

$3.5	$5.1	$5.2	$3.6	$5	$3.4	$5.3	$6.5	$4.8	$6.3
5.8	4.5	6.3	4.9	4.2

The following is the amount ($000) earned by a sample of Klein models.

$4.1	$2.5	$1.2	$3.5	$5.1	$2.3	$6.1	$1.2	$1.5	$1.3
1.8	2.1

(1)	Find the degrees of freedom for unequal variance test. (Carry at least 3 decimals in your intermediate calculations. Round down your answer to the next lower whole number.)

Degrees of freedom

(2)	State the decision rule for 0.05 significance level: H0: μLC ≤ μCK; H1: μLC > μCK. (Round your answer to 3 decimal places.)

Reject H0 if t>

(3)	Compute the value of the test statistic. (Carry at least 3 decimals in your intermediate calculations. Round your answer to 3 decimal places.)

Value of the test statistic

(4)	Is it reasonable to conclude that Claiborne models earn more? Use the 0.05 significance level.

(Click to select)Reject or Fail to reject H0. It is (Click to select)not reasonable or reasonable to conclude that Claiborne models earn more.

Answer 1