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 15 Claiborne models: $3.9 4.5 $4.2 $5.1 $5.9 $6.4 $6.6 $6.4 $5.5 $3.8 $4.5 6.9 3.7 5.0 6.7 The following is the amount ($000) earned by a sample of 12 Klein models. $4.6 $4.2 $5.2 $5.1 $4.8 $3.9 $4.0 $4.2 $3.6 $3.9 4.3 4.4 B Click here for the Excel Data File Is it reasonable to conclude that Claiborne models earn more? Assume the population standard deviations are not the same. a. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) Degrees of freedom b. State the decision rule for 0.10 significance level: Hg: Hclaiborne S Hcolvin Klein : Hz: H cləiborne H colvin Klein: (Round your answer to 3 decimal places.) Reject Ho if t> c. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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 15
Claiborne models:
$3.9
$4.2
$5.1
$5.9
$6.4
$6.6
$6.4
$5.5
$3.8
$4.5
4.5
6.9
3.7
5.0
6.7
The following is the amount ($000) earned by a sample of 12 Klein models.
$4.6
$4.2
$5.2
$5.1
$4.8
$3.9
$4.0
$4.2
$3.6
$3.9
4.3
4.4
E Click here for the Excel Data File
Is it reasonable to conclude that Claiborne models earn more? Assume the population standard deviations are not the same.
a. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.)
Degrees of freedom
b. State the decision rule for 0.10 significance level: Hg: Hclaiborne Pcalvin Klein H1:P claiborne >H Calvin Klein- (Round your
answer to 3 decimal places.)
Reject Ho if t>
c. Compute the value of the test statistic. (Round your answer to 3 decimal places.)
Value of the test statistic
Transcribed Image Text: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 15 Claiborne models: $3.9 $4.2 $5.1 $5.9 $6.4 $6.6 $6.4 $5.5 $3.8 $4.5 4.5 6.9 3.7 5.0 6.7 The following is the amount ($000) earned by a sample of 12 Klein models. $4.6 $4.2 $5.2 $5.1 $4.8 $3.9 $4.0 $4.2 $3.6 $3.9 4.3 4.4 E Click here for the Excel Data File Is it reasonable to conclude that Claiborne models earn more? Assume the population standard deviations are not the same. a. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) Degrees of freedom b. State the decision rule for 0.10 significance level: Hg: Hclaiborne Pcalvin Klein H1:P claiborne >H Calvin Klein- (Round your answer to 3 decimal places.) Reject Ho if t> c. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic
d. Is it reasonable to conclude that Claiborne models earn more? Assume the population standard deviations are not the same. Use
the 0.10 significance level.
Hn. It is
to conclude that Claiborne models earn more.
Fail to Reject
Reject
Transcribed Image Text:d. Is it reasonable to conclude that Claiborne models earn more? Assume the population standard deviations are not the same. Use the 0.10 significance level. Hn. It is to conclude that Claiborne models earn more. Fail to Reject Reject
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