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The Heating Bills for a Selected Sample of Houses Using

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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 849585646093938990889692719080\begin{array}{lll}\text { Natural Gas }&\text { Central Electric }&\text { Heat Pump }\\84 & 95 & 85 \\64 & 60 & 93 \\93 & 89 & 90 \\88 & 96 & 92 \\71 & 90 & 80\end{array}
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.


Definitions:

Opposition

Resistance or dissent, expressed in action or argument.

Rotator Cuff

A group of muscles and tendons that surround the shoulder joint, keeping the head of your upper arm bone firmly within the shallow socket of the shoulder.

Glenohumeral Ligament

A group of three ligaments in the shoulder that help stabilize the glenohumeral (shoulder) joint.

Depress Scapulae

The action of lowering the shoulder blades, an essential movement in various physical activities and exercises.

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