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Statistics: Manufacturer's Claims

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A manufacturer claims that a particular kind of solar shade can reduce the ambient temperature by 2 degrees centigrade over traditional materials. Over random times over several days, temperatures were taken at the same time under a traditional awning and an adjacent awning using this brand of solar shade. In the attachment, column A is the traditional and column B is the new shade. Prove whether or not the manufacturer's claims are true to 95% confidence level.

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This solution provides a proof to determine whether the manufacturer's claims are true at a 95% confidence level.

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First, we figure out the difference for each.
Then we figure out the mean and standard deviation for the ...

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