Question: Forecast and Actual Temperatures Data Set 10 in Appendix B includes a list of actual high temperatures and the corresponding list of three-day forecast high

Forecast and Actual Temperatures Data Set 10 in Appendix B includes a list of actual high temperatures and the corresponding list of three-day forecast high temperatures.

If the difference for each day is found by subtracting the three-day forecast high temperature from the actual high temperature, the result is a list of 31 values with a mean of 20.419° and a standard deviation of 3.704°.

a. Construct a 99% confidence interval estimate of the mean difference between all actual high temperatures and three-day forecast high temperatures.

b. Does the confidence interval include 0°? If a meteorologist claims that three-day forecast high temperatures tend to be too high because the mean difference of the sample is 20.419°, does that claim appear to be valid? Why or why not?

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