A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will increase when they are allowed to wear ear buds at work. A random sample of 9 workers' times were collected before and after wearing ear buds. Assume the data is normally distributed. Perform a Matched-Pairs hypothesis test for the claim that the time to complete the task has increased at a significance level of a = 0.01. If you wish to copy this data to a spreadsheet or StatCrunch, you may find it useful to first copy it to Notepad, in order to remove any formatting. Round answers to 4 decimal places. For the context of this problem, µa = Hafter · H_Before, where the first data set represents "after" and the second data set represents "before". H.:µd = 0 0 < Prl :®H
A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will increase when they are allowed to wear ear buds at work. A random sample of 9 workers' times were collected before and after wearing ear buds. Assume the data is normally distributed. Perform a Matched-Pairs hypothesis test for the claim that the time to complete the task has increased at a significance level of a = 0.01. If you wish to copy this data to a spreadsheet or StatCrunch, you may find it useful to first copy it to Notepad, in order to remove any formatting. Round answers to 4 decimal places. For the context of this problem, µa = Hafter · H_Before, where the first data set represents "after" and the second data set represents "before". H.:µd = 0 0 < Prl :®H
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![### Matched-Pairs Hypothesis Test for Completion Time with Ear Buds
A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will increase when they are allowed to wear ear buds at work. A random sample of 9 workers' times were collected before and after wearing ear buds. Assume the data is normally distributed.
Perform a Matched-Pairs hypothesis test for the claim that the time to complete the task has increased at a significance level of \( \alpha = 0.01 \).
If you wish to copy this data to a spreadsheet or StatCrunch, you may find it useful to first copy it to Notepad, in order to remove any formatting.
Round answers to 4 decimal places.
For the context of this problem,
\[ \mu_d = \mu_{After} - \mu_{Before} \]
where the first data set represents "after" and the second data set represents "before".
Hypotheses:
\[ H_0: \mu_d = 0 \]
\[ H_a: \mu_d > 0 \]
### Sample Data
| After | Before |
|---------|---------|
| 71.9 | 51.7 |
| 39.1 | 39.2 |
| 51 | 52.1 |
| 54.7 | 55.8 |
| 54.1 | 50.5 |
| 46.9 | 43.2 |
| 45.1 | 34.2 |
| 63.4 | 54.9 |
| 57.1 | 41.1 |
### Questions
1. **What is the mean difference for this sample?**
- Mean difference = ___________
2. **What is the significance level for this sample?**
- Significance level = ___________
3. **What is the P-value for this test?**
- P-value = ___________
### Explanation of Sample Data Table
The sample data is organized into two columns: "After" and "Before," representing the completion times (in minutes) of workers after and before wearing ear buds, respectively. Each row corresponds to a different worker's times. There are 9 pairs of data points](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa218d9b0-33cd-49fb-8966-615774819802%2Fc112ff10-abf2-4784-8a5b-5b816e2f5dc8%2Fsymk8u7_processed.png&w=3840&q=75)
Transcribed Image Text:### Matched-Pairs Hypothesis Test for Completion Time with Ear Buds
A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will increase when they are allowed to wear ear buds at work. A random sample of 9 workers' times were collected before and after wearing ear buds. Assume the data is normally distributed.
Perform a Matched-Pairs hypothesis test for the claim that the time to complete the task has increased at a significance level of \( \alpha = 0.01 \).
If you wish to copy this data to a spreadsheet or StatCrunch, you may find it useful to first copy it to Notepad, in order to remove any formatting.
Round answers to 4 decimal places.
For the context of this problem,
\[ \mu_d = \mu_{After} - \mu_{Before} \]
where the first data set represents "after" and the second data set represents "before".
Hypotheses:
\[ H_0: \mu_d = 0 \]
\[ H_a: \mu_d > 0 \]
### Sample Data
| After | Before |
|---------|---------|
| 71.9 | 51.7 |
| 39.1 | 39.2 |
| 51 | 52.1 |
| 54.7 | 55.8 |
| 54.1 | 50.5 |
| 46.9 | 43.2 |
| 45.1 | 34.2 |
| 63.4 | 54.9 |
| 57.1 | 41.1 |
### Questions
1. **What is the mean difference for this sample?**
- Mean difference = ___________
2. **What is the significance level for this sample?**
- Significance level = ___________
3. **What is the P-value for this test?**
- P-value = ___________
### Explanation of Sample Data Table
The sample data is organized into two columns: "After" and "Before," representing the completion times (in minutes) of workers after and before wearing ear buds, respectively. Each row corresponds to a different worker's times. There are 9 pairs of data points
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