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Mathematics Clinic => Statistics => Topic started by: knightj on Mar 25, 2023

Title: The heating bills for a selected sample of houses using various forms of heating are given below. ...
Post by: knightj on Mar 25, 2023

The heating bills for a selected sample of houses using various forms of heating are given below.  (Values are in dollars.)

Natural Gas

Central Electric

Heat Pump

84

95

85

64

60

93

93

89

90

88

96

92

71

90

80


a.At α = 0.05, test to see if there is a significant difference among the average heating bills of the homes.  Use the p-value approach.
b.Test the above hypotheses using the critical value approach.  Let α = .05.

Title: The heating bills for a selected sample of houses using various forms of heating are given below. ...
Post by: MajorWaffle on Mar 25, 2023

a.

Source of Variation

SS

df

MS

F

P-value

F critical

Between Groups

173.33

2

86.667

0.656

0.537

3.885

Within Groups

1586

12

132.167

   
Total

1759.33

14

    

The test statistic F = 0.656; p-value > 0.1, do not reject Ho; we cannot conclude that there is a significant difference among the average heating bills (Excel results in a p-value of 0.5367)

b. F = 0.66 < 3.89; thus, do not reject Ho