4. Provided in homework 5.xlsx is a set of restoration times (in hours) for a particular kind of failed power transformer from a power utility. The data were collected for recent transformer failures by a fairly novice work crew. Calculate a 95% confidence interval for the standard deviation of restoration time. a. Find a 95% confidence interval for the mean restoration time. Interpret. b. Find a 99% confidence interval for the standard deviation of transformer restoration time. Interpret. c. Power utilities, as they tend to be monopolies, often share best practices with each other as they don’t really compete for each other’s business. A quality assurance metric that many utilities use is the proportion of transformers taking longer than 135 minutes to restore. Find a 90% confidence interval to estimate this proportion.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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4. Provided in homework 5.xlsx is a set of restoration times (in hours) for a particular kind of failed
power transformer from a power utility. The data were collected for recent transformer failures
by a fairly novice work crew. Calculate a 95% confidence interval for the standard deviation of
restoration time.
a. Find a 95% confidence interval for the mean restoration time. Interpret.
b. Find a 99% confidence interval for the standard deviation of transformer restoration
time. Interpret.
c. Power utilities, as they tend to be monopolies, often share best practices with each
other as they don’t really compete for each other’s business. A quality assurance metric
that many utilities use is the proportion of transformers taking longer than 135 minutes
to restore. Find a 90% confidence interval to estimate this proportion. 

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Obs
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23456789m1234567旧9 20122232425 26 27 28 29 30 1 2233343535738 39 40
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11
31
36
41
234 45467 48
44
Restoration time
2.2
1.7
2.4
2.5
2.9
4.4
5.1
1.8
3.2
2.2
1.9
4.4
5.2
5.6
2.5
4.5
3.7
4.3
4.3
2.4
3.6
2.5
1.9
2.7
4.5
3.3
3.9
2.7
3.8
3.9
3.3
2.1
1.6
1.5
2.9
2.3
2.2
2.5
2.7
3.5
4.7
2.2
4.1
4.7
2.4
2.5
4.2
4.1
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Transcribed Image Text:1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 A Obs 1 23456789m1234567旧9 20122232425 26 27 28 29 30 1 2233343535738 39 40 10 11 31 36 41 234 45467 48 44 Restoration time 2.2 1.7 2.4 2.5 2.9 4.4 5.1 1.8 3.2 2.2 1.9 4.4 5.2 5.6 2.5 4.5 3.7 4.3 4.3 2.4 3.6 2.5 1.9 2.7 4.5 3.3 3.9 2.7 3.8 3.9 3.3 2.1 1.6 1.5 2.9 2.3 2.2 2.5 2.7 3.5 4.7 2.2 4.1 4.7 2.4 2.5 4.2 4.1 -
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Swokowski
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