The heating bills for a selected sample of houses in a city using various forms of heating are given below. (Values are in dollars.)
Natural Gas
Central Electric
Heat Pump
54
95
85
65
60
93
96
89
90
88
96
92
71
90
81
?
a.At ? = .05, test to see if there is a significant difference among the average heating bills of all homes in the city using three forms of heating. Use the p-value approach.b.Test the hypotheses using the critical value approach. Let ? = .05.

What will be an ideal response?


a.

Source of VariationSSdfMSFp-valueF critical
Between Groups136.13268.070.500.61813.89
Within Groups1630.812135.9   
Total1766.9314    
?The test statistic F = .50; p-value > .10, do not reject H0; we cannot conclude that there is a significant difference among the average heating bills (Excel results in a p-value of .6181).?b. F = .50 < 3.89; thus, do not reject H0.

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