Problem 4 Samples of eastern white pine lumber were collected (found in the spreadsheet), and a particular loading was applied to each. For each piece of lumber, the modulus of elasticity (in MPa) was found one minute after the loading was applied, and it was again found after four weeks. What can you say about the claim that the modulus of elasticity decreases by over 2500 MPa at four weeks relative to one minute after loading? Use the p-value approach and draw conclusions with 95% confidence.

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Problem 4
Samples of eastern white pine lumber were collected (found in the spreadsheet), and a
particular loading was applied to each. For each piece of lumber, the modulus of elasticity (in
MPa) was found one minute after the loading was applied, and it was again found after four
weeks. What can you say about the claim that the modulus of elasticity decreases by over 2500
MPa at four weeks relative to one minute after loading? Use the p-value approach and draw
conclusions with 95% confidence.      

### Lumber Observation Data

This table presents data from a study observing lumber over two different time intervals: 1 minute and 4 weeks. Each "Lumber obs" represents a unique observation during these intervals.

| Lumber obs | 1 min | 4 weeks |
|------------|-------|---------|
| 1          | 10490 | 9110    |
| 2          | 16620 | 13250   |
| 3          | 17300 | 14720   |
| 4          | 15480 | 12740   |
| 5          | 12970 | 10120   |
| 6          | 17260 | 14570   |
| 7          | 13400 | 11220   |
| 8          | 13900 | 11100   |
| 9          | 13630 | 11420   |
| 10         | 13260 | 10910   |
| 11         | 14300 | 12110   |
| 12         | 11700 | 9600    |
| 13         | 15470 | 12590   |
| 14         | 17840 | 15090   |
| 15         | 14070 | 10550   |
| 16         | 14760 | 12230   |

Each column in the table is described as follows:

- **Lumber obs**: Indicates the observation number, ranging from 1 to 16.
- **1 min**: Represents the measurements taken or values observed at a 1-minute interval.
- **4 weeks**: Represents the measurements taken or values observed after a period of 4 weeks.

This data can be used to analyze changes in the lumber over time, allowing for comparisons between the immediate and longer-term conditions.
Transcribed Image Text:### Lumber Observation Data This table presents data from a study observing lumber over two different time intervals: 1 minute and 4 weeks. Each "Lumber obs" represents a unique observation during these intervals. | Lumber obs | 1 min | 4 weeks | |------------|-------|---------| | 1 | 10490 | 9110 | | 2 | 16620 | 13250 | | 3 | 17300 | 14720 | | 4 | 15480 | 12740 | | 5 | 12970 | 10120 | | 6 | 17260 | 14570 | | 7 | 13400 | 11220 | | 8 | 13900 | 11100 | | 9 | 13630 | 11420 | | 10 | 13260 | 10910 | | 11 | 14300 | 12110 | | 12 | 11700 | 9600 | | 13 | 15470 | 12590 | | 14 | 17840 | 15090 | | 15 | 14070 | 10550 | | 16 | 14760 | 12230 | Each column in the table is described as follows: - **Lumber obs**: Indicates the observation number, ranging from 1 to 16. - **1 min**: Represents the measurements taken or values observed at a 1-minute interval. - **4 weeks**: Represents the measurements taken or values observed after a period of 4 weeks. This data can be used to analyze changes in the lumber over time, allowing for comparisons between the immediate and longer-term conditions.
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