The manufacturer of a new eye cream claims that the cream reduces the appearance of fine lines and wrinkles after just 14 days of application. To test the claim, 10 women are randomly selected to participate in a study. The number of fine lines and wrinkles that are visible around each participant's eyes is recorded before and after the 14 days of treatment. The following table displays the results. Test the claim at the 0.02 level of significance assuming that the population distribution of the paired differences is approximately normal. Let women before the treatment be Population 1 and let women after the treatment be Population 2. Number of Fine Lines and Wrinkles Before 12 14 13 11 11 15 10 10 10 9 After 10 14 12 12 12 15 9 7 8 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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The manufacturer of a new eye cream claims that the cream reduces the appearance of fine lines and wrinkles after just 14 days of application. To test the claim, 10
women are randomly selected to participate in a study. The number of fine lines and wrinkles that are visible around each participant's eyes is recorded before and after
the 14 days of treatment. The following table displays the results. Test the claim at the 0.02 level of significance assuming that the population distribution of the paired
differences is approximately normal. Let women before the treatment be Population 1 and let women after the treatment be Population 2.
Number of Fine Lines and Wrinkles
Before
12
14
13
11
11
15
10
10
10
9
After
10
14
12
12
12
15
9
7
8
Copy Data
Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
Transcribed Image Text:The manufacturer of a new eye cream claims that the cream reduces the appearance of fine lines and wrinkles after just 14 days of application. To test the claim, 10 women are randomly selected to participate in a study. The number of fine lines and wrinkles that are visible around each participant's eyes is recorded before and after the 14 days of treatment. The following table displays the results. Test the claim at the 0.02 level of significance assuming that the population distribution of the paired differences is approximately normal. Let women before the treatment be Population 1 and let women after the treatment be Population 2. Number of Fine Lines and Wrinkles Before 12 14 13 11 11 15 10 10 10 9 After 10 14 12 12 12 15 9 7 8 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
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