Question: 21. Appendix B Data Set: Forecast Temperatures The examples in this section used only five pairs of sample data so that the calculations would be

21. Appendix B Data Set: Forecast Temperatures The examples in this section used only five pairs of sample data so that the calculations would be easy. Refer to Data Set 8 in Appendix B and use all of the actual low temperatures and the low temperatures that were forecast five days earlier.

a. Using a 0.05 significance level, test the claim that there is no difference between the actual low temperatures and the low temperatures that were forecast five days earlier.

b. Construct a 95% confidence interval estimate of the mean difference between the actual low temperatures and the low temperatures that were forecast five days earlier.

c. Compare the results to those obtained in the examples of this section. Does it appear that the forecast low temperatures are accurate?

b. Construct a 99% confidence interval for the mean of the differences. Do the confidence interval limits contain 0, indicating that there is not a significant difference between the times of the first and second trials?

494 Chapter 9 Inferences from Two Samples

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