In the article "Groundwater Electromagnetic Imaging in

Chapter 5, Problem 11SE

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QUESTION:

In the article “Groundwater Electromagnetic Imaging in Complex Geological and Topographical  Regions: A Case Study of a Tectonic Boundary in  the French Alps” (S. Houtot, P. Tarits, et al., Geo- physics, 2002:1048–1060), the pH was measured  for several water samples in various locations near Gittaz Lake in the French Alps. The results for 11 locations on the northern side of the lake and for 6 locations on the southern side are as follows:

Northern side: 8.1 8.2 8.1 8.2 8.2 7.4

7.3 7.4 8.1 8.1 7.9

Southern side: 7.8 8.2 7.9 7.9 8.1 8.1

Find a 98% confidence interval for the difference in pH between the northern and southern side.

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QUESTION:

In the article “Groundwater Electromagnetic Imaging in Complex Geological and Topographical  Regions: A Case Study of a Tectonic Boundary in  the French Alps” (S. Houtot, P. Tarits, et al., Geo- physics, 2002:1048–1060), the pH was measured  for several water samples in various locations near Gittaz Lake in the French Alps. The results for 11 locations on the northern side of the lake and for 6 locations on the southern side are as follows:

Northern side: 8.1 8.2 8.1 8.2 8.2 7.4

7.3 7.4 8.1 8.1 7.9

Southern side: 7.8 8.2 7.9 7.9 8.1 8.1

Find a 98% confidence interval for the difference in pH between the northern and southern side.

ANSWER:

Answer:

Step 1 of 1:

In this question, we are asked to find a 98% confidence interval for the difference in between the northern and southern side.

The results for 11 locations on the northern side of the lake and for 6 locations on the southern side are given below on the table:

Northern side:

 

  8.1

  8.2

  8.1

 8.2

 8.2

 7.4

  7.3

7.4

8.1

 8.1

 7.9

 

Southern side:

 7.8

8.2

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