How much combustion efficiency should a homeowner expect from an oil furnace The EPA

Chapter 10, Problem 10.125

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How much combustion efficiency should a homeowner expect from an oil furnace? The EPA states that 80% or higher is excellent, 75% to 79% is good, 70% to 74% is fair, and below 70% is poor. A home-heating contractor who sells two makes of oil heaters (call them A and B) decided to compare their mean efficiencies by analyzing the efficiencies of 8 heaters of type A and 6 of type B. The resulting efficiency ratings in percentages for the 14 heaters are shown in the accompanying table.Type A Type B 72 78 78 76 73 81 69 74 75 82 74 75 69 75 a Do the data provide sufficient evidence to indicate a difference in mean efficiencies for the two makes of home heaters? Find the approximate p-value for the test and interpret its value. b Find a 90% confidence interval for (A B) and interpret the result

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