How much combustion efficiency should a homeowner expect

Chapter 10, Problem 125SE

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How much combustion efficiency should a homeowner expect from an oil furnace? The EPA states that  or higher is excellent,  to  is good,  to  is fair, and below  is poor. A home-heating contractor who sells two makes of oil heaters (call them  and  ) decided to compare their mean efficiencies by analyzing the efficiencies of 8 heaters of type  and 6 of type . 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  -value for the test and interpret its value.

b Find a  confidence interval for \(\left(\mu_{A}-\mu_{B}\right)\) and interpret the result.

Equation transcription:

Text transcription:

(mu{A}-\mu{B})

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