Problem 3 There are two primary means to drill holes in rock: dry drilling and wet drilling. With dry drilling, compressed air is used to flush the cuttings out of the drill bit. With wet drilling, a liquid is used. The time required (in minutes) to drill a hole of a particular depth was acquired and found in (the image attached). Assume similar variances for the two drilling methods. Is mean drilling time for the wet drilling method significantly shorter with 95% confidence? Use the ?-value approach.

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Problem 3
There are two primary means to drill holes in rock: dry drilling and wet drilling. With dry drilling,
compressed air is used to flush the cuttings out of the drill bit. With wet drilling, a liquid is used.
The time required (in minutes) to drill a hole of a particular depth was acquired and found in
(the image attached). Assume similar variances for the two drilling methods. Is mean drilling time
for the wet drilling method significantly shorter with 95% confidence? Use the ?-value
approach. 

The table provides data comparing measurements from dry drilling and wet drilling methods. There are two columns, each representing a different drilling method.

**Columns:**
- **Dry Drilling (Column A):**
  - Row 2: 7.27
  - Row 3: 9.65
  - Row 4: 9.04
  - Row 5: 9.87
  - Row 6: 8.47
  - Row 7: 9.18
  - Row 8: 8.14
  - Row 9: 7.5
  - Row 10: 8.04
  - Row 11: 9.89
  - Row 12: 9.02
  - Row 13: 9.39

- **Wet Drilling (Column B):**
  - Row 2: 6.07
  - Row 3: 5.49
  - Row 4: 7.62
  - Row 5: 6.65
  - Row 6: 5.88
  - Row 7: 7.98
  - Row 8: 7.04
  - Row 9: 7.72
  - Row 10: 7.8
  - Row 11: 5.99

This dataset can help in analyzing the differences in performance or outcomes between dry and wet drilling methods.
Transcribed Image Text:The table provides data comparing measurements from dry drilling and wet drilling methods. There are two columns, each representing a different drilling method. **Columns:** - **Dry Drilling (Column A):** - Row 2: 7.27 - Row 3: 9.65 - Row 4: 9.04 - Row 5: 9.87 - Row 6: 8.47 - Row 7: 9.18 - Row 8: 8.14 - Row 9: 7.5 - Row 10: 8.04 - Row 11: 9.89 - Row 12: 9.02 - Row 13: 9.39 - **Wet Drilling (Column B):** - Row 2: 6.07 - Row 3: 5.49 - Row 4: 7.62 - Row 5: 6.65 - Row 6: 5.88 - Row 7: 7.98 - Row 8: 7.04 - Row 9: 7.72 - Row 10: 7.8 - Row 11: 5.99 This dataset can help in analyzing the differences in performance or outcomes between dry and wet drilling methods.
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