Human skin loses water through evaporation, and, in general, damaged skin loses water at a faster rate than undamaged skin. In a study in which the outer layer of skin on a small section of the forearm was partially removed, water loss (in  /gm2  per hour) was measured both before and after skin removal. The results for ten individuals were as follows: Subject Before After 1 18 20 2 12 28 3 15 18 4 18 26 5 18 23 6 13 23 7 12 19 8 17 21 9 16 23 10 14 27 Send data to Excel Part: 0 / 2 0 of 2 Parts Complete   Part 1 of 2       (a)Construct a  95%  confidence interval for the mean increase in water loss. Let  d  represent the water loss after skin removal minus the water loss before skin removal (in  /gm2  per hour

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Water loss: Human skin loses water through evaporation, and, in general, damaged skin loses water at a faster rate than undamaged skin. In a study in which the outer layer of skin on a small section of the forearm was partially removed, water loss (in 

/gm2

 per hour) was measured both before and after skin removal. The results for ten individuals were as follows:

Subject Before After
1
18
20
2
12
28
3
15
18
4
18
26
5
18
23
6
13
23
7
12
19
8
17
21
9
16
23
10
14
27

Send data to Excel
Part: 0 / 2
0 of 2 Parts Complete
 
Part 1 of 2
 
 

 

(a)Construct a 
95%
 confidence interval for the mean increase in water loss. Let 
d
 represent the water loss after skin removal minus the water loss before skin removal (in 
/gm2
 per hour). Use the TI-84 Plus calculator and round the answers to one decimal place.

 

95%
 confidence interval for the mean increase in water loss is 
<<μd
.
 
 
 
 
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