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n a large scale study of energy conservation in single family homes, 20 homes were randomly elected from homes built in a housing development in southern England. Ten of the houses, andomly selected from the 20 houses selected for the study, were constructed with standard evels of insulation (70 mm of roof insulation and 50 mm of insulation in the walls). The other 0 houses were constructed with extra insulation (120 mm of roof insulation and 100 mm of msulation in the walls). Each house was heated with a gas furnace and energy consumption vas monitored for eight years. The data shown below give annual gas consumption in MWh or each of the 20 houses. Standard Insulation Extra Insulation 13.8 15.1 17.8 13.9 18.0 15.9 17.3 17.2 16.9 15.2 19.9 13.8 13.6 11.3 17.6 13.2 15.9 18.8 12.3 14.0 Sample means Sample Standard Deviation 16.31 14.84 2.38 2.12

n a large scale study of energy conservation in single family homes, 20 homes were randomly elected from homes built in a housing development in southern England. Ten of the houses, andomly selected from the 20 houses selected for the study, were constructed with standard evels of insulation (70 mm of roof insulation and 50 mm of insulation in the walls). The other 0 houses were constructed with extra insulation (120 mm of roof insulation and 100 mm of msulation in the walls). Each house was heated with a gas furnace and energy consumption vas monitored for eight years. The data shown below give annual gas consumption in MWh or each of the 20 houses. Standard Insulation Extra Insulation 13.8 15.1 17.8 13.9 18.0 15.9 17.3 17.2 16.9 15.2 19.9 13.8 13.6 11.3 17.6 13.2 15.9 18.8 12.3 14.0 Sample means Sample Standard Deviation 16.31 14.84 2.38 2.12

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In a large scale study of energy conservation in single family homes, 20 homes were randomly selected from homes built in a housing development in southern England. Ten of the houses, randomly selected from the 20 houses selected for the study, were constructed with standard levels of insulation (70 mm of roof insulation and 50 mm of insulation in the walls). The other 10 houses were constructed with extra insulation (120 mm of roof insulation and 100 mm of insulation in the walls). Each house was heated with a gas furnace and energy consumption was monitored for eight years. The data shown below give annual gas consumption in MWh for each of the 20 houses. Standard Insulation Extra Insulation 13.8 15.1 17.8 13.9 18.0 15.9 17.3 17.2 16.9 15.2 19.9 13.8 13.6 11.3 17.6 13.2 15.9 18.8 12.3 14.0 Sample means Sample Standard Deviation 16.31 14.84 2.38 2.12
Transcribed Image Text:In a large scale study of energy conservation in single family homes, 20 homes were randomly selected from homes built in a housing development in southern England. Ten of the houses, randomly selected from the 20 houses selected for the study, were constructed with standard levels of insulation (70 mm of roof insulation and 50 mm of insulation in the walls). The other 10 houses were constructed with extra insulation (120 mm of roof insulation and 100 mm of insulation in the walls). Each house was heated with a gas furnace and energy consumption was monitored for eight years. The data shown below give annual gas consumption in MWh for each of the 20 houses. Standard Insulation Extra Insulation 13.8 15.1 17.8 13.9 18.0 15.9 17.3 17.2 16.9 15.2 19.9 13.8 13.6 11.3 17.6 13.2 15.9 18.8 12.3 14.0 Sample means Sample Standard Deviation 16.31 14.84 2.38 2.12
(b) Construct a 95% confidence interval for the the mean reduction in annual energy use provided by the extra insulation. Some R output that may help. > p1 <- c(0.01, 0.025, 0.05, 0.1, 0.9, 0.95, 0.975, 0.99) > qt (p1, 18) [1] -2.552 -2.101 -1.734 -1.330 1.330 1.734 2.101 2.552 > qt (p1, 19) [1] -2.539 -2.093 -1.729 -1.328 1.328 1.729 2.093 2.539 Нint: You mау assume saте variance for the two sатples.
Transcribed Image Text:(b) Construct a 95% confidence interval for the the mean reduction in annual energy use provided by the extra insulation. Some R output that may help. > p1 <- c(0.01, 0.025, 0.05, 0.1, 0.9, 0.95, 0.975, 0.99) > qt (p1, 18) [1] -2.552 -2.101 -1.734 -1.330 1.330 1.734 2.101 2.552 > qt (p1, 19) [1] -2.539 -2.093 -1.729 -1.328 1.328 1.729 2.093 2.539 Нint: You mау assume saте variance for the two sатples.
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