(a) Construct a 95% confidence interval for the the mean annual gas consumption for houseswith standard insulation. Some R output that may help.> p1 <- c(0.01, 0.025, 0.05, 0.1, 0.9, 0.95, O.975, 0.99)> qt (p1, 8)[1] -2.896 -2.306 -1.860 -1.397 1.397 1.860 2.306 2.896> qt (p1, 9)[1] -2.821 -2.262 -1.833 -1.3831.383 1.833 2.2622.821 In a large scale study of energy conservation in single family homes, 20 homes were randomlyselected 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 standardlevels of insulation (70 mm of roof insulation and 50 mm of insulation in the walls). The other10 houses were constructed with extra insulation (120 mm of roof insulation and 100 mm ofinsulation in the walls). Each house was heated with a gas furnace and energy consumptionwas monitored for eight years. The data shown below give annual gas consumption in MWhfor each of the 20 houses.Standard InsulationExtra Insulation13.815.117.813.918.015.917.317.216.915.219.913.813.611.317.613.215.918.812.314.0Sample meansSample Standard Deviation16.3114.842.382.12

(a) Construct a 95% confidence interval for the the mean annual gas consumption for houses with standard 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, 8) [1] -2.896 -2.306 -1.860 -1.397 1.397 1.86O 2.306 2.896 > qt (p1, 9) [1] -2.821 -2.262 -1.833 -1.383 1.383 1.833 2.262 2.821

(a) Construct a 95% confidence interval for the the mean annual gas consumption for houses with standard 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, 8) [1] -2.896 -2.306 -1.860 -1.397 1.397 1.86O 2.306 2.896 > qt (p1, 9) [1] -2.821 -2.262 -1.833 -1.383 1.383 1.833 2.262 2.821

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.5: Interpreting Data

Problem 1C

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