Question

Gas Heated Homes	Central Electric	Heat Pump
86	78	86
84	78	83
82	87	80
86	72	92
82	63	89

At α= .05, test to see if there is a significant difference among the average bills of all the homes (in a city) using three forms of heating. Use both the critical and p-value approaches.  Be sure to include your hypotheses, critical values, results, and conclusions in the language of the problem.

Answer 1

For the given data using Anova single factor in Excel we get output as

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Variance
Gas Heated Homes	5	420	4
Central Electric	5	378	78.3
Heat Pump	5	430	22.5
ANOVA
Source of Variation	SS	df	F	P-value	F crit
Between Groups	304.5333333	2	4.358779	0.037762	3.885294
Within Groups	419.2	12
Total	723.7333333	14