3 The heating bills for a selected sample of houses using va

3. The heating bills for a selected sample of houses using various forms of heating are given below (values an in dollars). Sample Mean: Sample Variance: Complete the ANOVA table below. Also, at alpha = 0.05, test to see if there is a significant difference among the average bills of the homes. Hypothesis Test:

Solution

Null hypothesis: there is no significant difference among the average bills of the homes

Alternative hypothesis: there is a significant difference among the average bills of the homes

The test statistic is

F=6.77

The p-value of F test is 0.0107 (from F table)

Since the p-value is less than 0.05, we reject the null hypothesis.

So we can conclude that there is a significant difference among the average bills of the homes

Mean	n	Std. Dev
82.0	5	1.22	Gas Heated Homes
86.0	5	3.39	Gentral Electric
81.0	5	1.58	Heat Pump
83.0	15	3.07	Total