Data Set 22 “Tornadoes” in Appendix B includes data from 500 random tornadoes. The accompanying StatCrunch display results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.5 miles.

Test the given claim by using the display provided from technology. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.

Data Set 22: Tornadoes 

Data are from 500 tornadoes (first five rows shown here) arranged chronologically. MONTH is the month of the tornado (1 = January), F SCALE is the Fujita scale rating of tornado intensity, FATALITIES is number of deaths caused by the tornado, LENGTH (MI) is the distance the tornado traveled in miles, and WIDTH (YD) is the tornado width in yards. Data are from the National Weather Service