Number of Fine Lines and Wrinkles Before 12 14 13 11 15 11 15 9 13 After 10 13 13 10 8 12 12 14 10 9 Copy Data Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho : Ha = 0 Pt: "H
Number of Fine Lines and Wrinkles Before 12 14 13 11 15 11 15 9 13 After 10 13 13 10 8 12 12 14 10 9 Copy Data Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho : Ha = 0 Pt: "H
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Text Transcription for Educational Website:**
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 0.01 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.
**Table: Number of Fine Lines and Wrinkles**
| | Before | After |
|-----------|---------|-------|
| Woman 1 | 12 | 10 |
| Woman 2 | 14 | 13 |
| Woman 3 | 13 | 12 |
| Woman 4 | 11 | 8 |
| Woman 5 | 9 | 8 |
| Woman 6 | 15 | 12 |
| Woman 7 | 11 | 14 |
| Woman 8 | 15 | 10 |
| Woman 9 | 9 | 9 |
| Woman 10 | 13 | 9 |
**Step 1 of 3:** State the null and alternative hypotheses for the test. Fill in the blank below.
\[ H_0: \mu_d = 0 \]
\[ H_a: \mu_d \, \underline{\phantom{=}}\, 0 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cc427c0-5afe-426e-bd17-8cf27e6a41a6%2F6123a968-ea4b-42b4-9710-9f4baff3c459%2Fz457qp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Text Transcription for Educational Website:**
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 0.01 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.
**Table: Number of Fine Lines and Wrinkles**
| | Before | After |
|-----------|---------|-------|
| Woman 1 | 12 | 10 |
| Woman 2 | 14 | 13 |
| Woman 3 | 13 | 12 |
| Woman 4 | 11 | 8 |
| Woman 5 | 9 | 8 |
| Woman 6 | 15 | 12 |
| Woman 7 | 11 | 14 |
| Woman 8 | 15 | 10 |
| Woman 9 | 9 | 9 |
| Woman 10 | 13 | 9 |
**Step 1 of 3:** State the null and alternative hypotheses for the test. Fill in the blank below.
\[ H_0: \mu_d = 0 \]
\[ H_a: \mu_d \, \underline{\phantom{=}}\, 0 \]
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