A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.5 miles. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. i Click the icon to view the display from technology. What are the null and alternative hypotheses? O A. Ho: µ= 2.5 miles H1: µ< 2.5 miles B. Ho: µ= 2.5 miles %3D H1: µ> 2.5 miles O C. Ho: µ<2.5 miles H1: µ= 2.5 miles D. Ho: µ = 2.5 miles H1: µ +2.5 miles Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to support the claim that the mean tornado length is greater than 2.5 miles Display from Technology Hypothesis test results: u: Mean of variable Ho : µ= 2.5 HẠ : µ> 2.5 Variable Sample Mean Length Std. Err. DF T-Stat P-value 2.77923 0.210764 499 1.324847 0.0929 Print Done

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A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.5 miles. Use a 0.05 significance
level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
i Click the icon to view the display from technology.
What are the null and alternative hypotheses?
O A. Ho: µ= 2.5 miles
H1: µ< 2.5 miles
B. Ho: µ= 2.5 miles
%3D
H1: µ> 2.5 miles
O C. Ho: µ<2.5 miles
H1: µ= 2.5 miles
D. Ho: µ = 2.5 miles
H1: µ +2.5 miles
Identify the test statistic.
(Round to two decimal places as needed.)
Identify the P-value.
(Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
Ho. There is
evidence to support the claim that the mean tornado length is greater than 2.5 miles
Transcribed Image Text:A data set includes data from 500 random tornadoes. The display from technology available below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 2.5 miles. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. i Click the icon to view the display from technology. What are the null and alternative hypotheses? O A. Ho: µ= 2.5 miles H1: µ< 2.5 miles B. Ho: µ= 2.5 miles %3D H1: µ> 2.5 miles O C. Ho: µ<2.5 miles H1: µ= 2.5 miles D. Ho: µ = 2.5 miles H1: µ +2.5 miles Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to support the claim that the mean tornado length is greater than 2.5 miles
Display from Technology
Hypothesis test results:
u: Mean of variable
Ho : µ= 2.5
HẠ : µ> 2.5
Variable Sample Mean
Length
Std. Err.
DF
T-Stat
P-value
2.77923 0.210764 499
1.324847
0.0929
Print
Done
Transcribed Image Text:Display from Technology Hypothesis test results: u: Mean of variable Ho : µ= 2.5 HẠ : µ> 2.5 Variable Sample Mean Length Std. Err. DF T-Stat P-value 2.77923 0.210764 499 1.324847 0.0929 Print Done
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