Question

A data set includes data from

400

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

2.8

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.

Hypothesis test​ results:
	μ ​: Mean of variable
	H0 ​ : μ=2.8
	HA ​ : μ>2.8
	Variable	Sample Mean	Std. Err.	DF	​T-Stat	​P-value
	Length	3.40312	0.214225	399	2.815358	0.0026

Answer 1

From the given information,

Null hypothesis (Ho): μ= 2.8

Alternative hypothesis (HA): μ > 2.8

Test statistic= 2.815358

P-value= 0.0026

Conclusion:- Reject null hypothesis.

There is sufficient evidence to conclude that mean tornado length is greater than 2.8 miles.

Thank you.