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In: Statistics and Probability

The Florida Energy Factor (FEF) is used to compare the efficiency of domestic solar hot water...

The Florida Energy Factor (FEF) is used to compare the efficiency of domestic solar hot water heaters and to determine certain building construction credits. Solar water heaters with a high FEF are more cost efficient. Assume normality for the FEF distribution.

A random sample of approved heaters was obtained, and the FEF value for each is given in the following:

3.3 3.2 1.8 2.1 4.2 3.9 4.6 6.3 1.9 1.9 4.9 6.7 5.2 3.1 1.4

Is there any evidence to suggest that the true population mean FEF is greater than 3.0? Use α = 0.05.

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