An industrial plant wants to determine which of two types of fuel gas or electric will produce more useful energy at the lower cost. One measure of economical energy pro- duction, called the plant investment per delivered quad, is calculated by taking the amount of money (in dollars) invested in the particular utility by the plant and dividing by the delivered amount of energy (in quadrillion British thermal units). The smaller this ratio, the less an industrial plant pays for its delivered energy. Independent random samples of 11 plants using electrical utilities and 16 plants using gas utilities were taken, and the plant investment/quad was calculated for each. Do these data provide sufficient evidence at a = 0.05 to indicate a difference in the average investment/quad between all plants using gas and all those using electric utilities? 78.60 Electric: 204.15 0.57 62.76 89.72 0.35 85.46 0.78 0.65 44.38 9.28 0.78 16.66 74.94 0.01 0.82 91.84 7.20 66.64 Gas: 0.54 23.59 88.79 0.64 0.74 64.67 165.60 0.36

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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An industrial plant wants to determine which of two types of fuel
gas or electric will
produce more useful energy at the lower cost. One measure of economical energy pro-
duction, called the plant investment per delivered quad, is calculated by taking the amount
of money (in dollars) invested in the particular utility by the plant and dividing by the
delivered amount of energy (in quadrillion British thermal units). The smaller this ratio,
the less an industrial plant pays for its delivered energy. Independent random samples
of 11 plants using electrical utilities and 16 plants using gas utilities were taken, and the
plant investment/quad was calculated for each. Do these data provide sufficient evidence
at a = 0.05 to indicate a difference in the average investment/quad between all plants
using gas and all those using electric utilities?
Electric: 204.15
Gas:
0.57 62.76 89.72 0.35 85.46
0.65 44.38 9.28 78.60
0.78
0.78 16.66 74.94 0.01 0.54 23.59
0.82 91.84 7.20 66.64
88.79 0.64
0.74 64.67 165.60 0.36
Transcribed Image Text:An industrial plant wants to determine which of two types of fuel gas or electric will produce more useful energy at the lower cost. One measure of economical energy pro- duction, called the plant investment per delivered quad, is calculated by taking the amount of money (in dollars) invested in the particular utility by the plant and dividing by the delivered amount of energy (in quadrillion British thermal units). The smaller this ratio, the less an industrial plant pays for its delivered energy. Independent random samples of 11 plants using electrical utilities and 16 plants using gas utilities were taken, and the plant investment/quad was calculated for each. Do these data provide sufficient evidence at a = 0.05 to indicate a difference in the average investment/quad between all plants using gas and all those using electric utilities? Electric: 204.15 Gas: 0.57 62.76 89.72 0.35 85.46 0.65 44.38 9.28 78.60 0.78 0.78 16.66 74.94 0.01 0.54 23.59 0.82 91.84 7.20 66.64 88.79 0.64 0.74 64.67 165.60 0.36
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