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 14 12 9 15 11 14 15 9 11 11 After 12 13 7 14 12 11 16 10 7 10 Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places. Step 3 of 3: reject or fail/ Is there enough evidence?
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 14 12 9 15 11 14 15 9 11 11 After 12 13 7 14 12 11 16 10 7 10 Step 2 of 3 : Compute the value of the test statistic. Round your answer to three decimal places. Step 3 of 3: reject or fail/ Is there enough evidence?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 | 14 | 12 | 9 | 15 | 11 | 14 | 15 | 9 | 11 | 11 |
|---|---|---|---|---|---|---|---|---|---|---|
| After | 12 | 13 | 7 | 14 | 12 | 11 | 16 | 10 | 7 | 10 |
Step 2 of 3 :
Compute the value of the test statistic. Round your answer to three decimal places.
Step 3 of 3: reject or fail/ Is there enough evidence?
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