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# Room Size and BTUs

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Based on the question and the bogus raw data, provide a complete analysis. Be sure to include statdisk or excel:
Does the room size play an important factor in choosing the correct BTU's? A general rule is that 5,000 to 6,000 Btu/hrs. models cool rooms 100 to 300 square feet; 7,000 to 8,200 Btu/hr. models cool rooms 250 to 550 square fee; and 9,800 to 12, 500 Btu/hr. models cool rooms 350 to 950 square feet.

Provide the following information
-assumptions
-hypotheses
-statistical model including the test statistic
-CV and/or p-value
-initial conclusion and
-final conclusion.

https://brainmass.com/statistics/hypothesis-testing/room-size-btus-71109

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We need to test the hypothesis that there exists a non-zero correlation between the area of the room and energy consumed.

The hypotheses are: H0:  = 0 ...

#### Solution Summary

This solution provides a null and alternative hypothesis and conducts a statistical analysis to determine the test statistic, critical value, sample coefficient of correlation. In addition, diagrams and data sets are provided to decide whether or not to accept or reject the null hypothesis.

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