(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

Answered: (a) Construct a 95% confidence interval…

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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We want to estimate the mean number of pages per book in the fiction section of the large school library at a 99% confidence level. A sample of 35 fiction books is randomly selected, and the mean number of pages is calculated to be 291.8 pages per book with a standard deviation of 47.6 pages per book. Use the table to find the appropriate value of t* to use in the given scenario. Enter in the value of t* exactly as you see it written in the table. 1.684 1.697 2.704 2.750
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4
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