In an analysis of the accuracy of weather forecasts, the actual high temperatures are compared with the high temperatures predicted one day earlier and the high temperatures predicted five days earlier. Listed below are the errors between the predicted temperatures and the actual high temperatures for consecutive days in Dutchess County, New York. Do the standard deviations suggest that the temperatures predicted one day in advance are more accurate than those predicted five days in advance, as we might expect?

Find the range and standard deviation for each of the two samples and then compare the two sets of results.

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actual high) (high predicted one day earlier): 2 2 0 03 2 -2 8 1 01 01 (actual high) (high predicted five days earlier): 0 -3 2 5 6-9 4 -1 62 21 6 4