# How much combustion effciency should a homeowner

How much combustion effciency should a homeowner
6. How much combustion effciency should a homeowner expect from an oil furnace? The EPA states that 80% or higher is excellent, 75% to 795 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 ef?ciencies by analyzing the ef?ciencies of 8 heaters of type A and 6 of type B. The resulting ef?ciency ratings in percentages for the 14 heaters are shown in the accompanying mble. TeA 74 7 6 73 69 75 75 68 75-_________
a] Do the data provide suf?cient evidence to indicate a difference in mean e?iciencies for the two makes of home heaters? Find the approximate p-value for the test and interpret its value.
b) Find a 95% con?dence interval for (PA – #5) an interpret the result

10. In a comparison of the strengths of concrete produced by four experimental mixes, three specimens were prepared from each type of mix. Each of the 12 specimens was subjected to increasingly compressive loads until breakdown. The accompanying table gives the compressive loads, in tons per square inch, attained at breakdown. Specimen numbers 1-12 are indicated in parenthesis for identi?cation purposes.
Mix A Mix B Mix C Mix D 1 2.30 2 2.20 3 2.15 4 2.25
5 2.20 6 2.10 7 2.15 8 2.15 a) Assuming that the requirements for a one—way layout are met, analyze the data. State whether there is
statistical support at the a = 0.05 level of signi?cance for the conclusion that at least one of the concretes differs in average strength from the others.
b) Find the p – value associated with the test in part a).

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