The fiber density data of 10 samples with varying fiber density was obtained by using both an eyepiece method and a TV-screen method as follows Fiber Density Eyepiece Method Pair TV-Screen Method 1 40 32 2 30 29 3 34 36 4 22 18 35 31 6. 26 26 7 26 25 27 25 9. 11 15 10 35 31 a) Perform suitable hypothesis test at 10% significance level and decide whether, on average, the eyepiece method gives smaller fiber density reading than the TV-screen method. b) Determine a 90% confidence interval for the difference between both eyepiece and TV- Screen method.

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The fiber density data of 10 samples with varying fiber density was obtained by using
both an eyepiece method and a TV-screen method as follows
Fiber Density
Eyepiece
Method
Pair
TV-Screen
Method
1
40
32
2
30
29
3
34
36
4
22
18
35
31
6.
26
26
7
26
25
27
25
9.
11
15
10
35
31
a) Perform suitable hypothesis test at 10% significance level and decide whether, on
average, the eyepiece method gives smaller fiber density reading than the TV-screen
method.
b) Determine a 90% confidence interval for the difference between both eyepiece and TV-
Screen method.
Transcribed Image Text:The fiber density data of 10 samples with varying fiber density was obtained by using both an eyepiece method and a TV-screen method as follows Fiber Density Eyepiece Method Pair TV-Screen Method 1 40 32 2 30 29 3 34 36 4 22 18 35 31 6. 26 26 7 26 25 27 25 9. 11 15 10 35 31 a) Perform suitable hypothesis test at 10% significance level and decide whether, on average, the eyepiece method gives smaller fiber density reading than the TV-screen method. b) Determine a 90% confidence interval for the difference between both eyepiece and TV- Screen method.
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