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Evaluating Tornado Length Claims: A Statistical Breakdown
Chapter 8, Problem 12(choose chapter or problem)
Technology. In Exercises 9–12, 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” 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.
Questions & Answers
QUESTION:
Technology. In Exercises 9–12, 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” 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.
ANSWER:
Step 1 of 4
Given (in the display):
\(\begin{array}{l} \bar{x}=2.72424 \\ t=0.75865215 \\ d f=499 \\ P-\text { value }=0.2242 \\ \alpha=0.05 \end{array}\)
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Evaluating Tornado Length Claims: A Statistical Breakdown
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Explore a statistical approach to analyze the claim about average tornado lengths. Understand the nuances of hypothesis testing, from setting null and alternative hypotheses to interpreting P-values. Witness a comprehensive breakdown of the evidence from a sample of 500 tornadoes.