QUESTION 1

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.

Hypothesis test results:

u : Mean of variable

H0 : u =2.5

HA : u >2.5

Variable

Lenght

Sample Mean =3.00207

Std. Err =0.292731

T-Stat = 1.715124

P-0.0435

Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?

A. H 0: U=2.5 miles

H 1: U >2.5 miles

B.H 0: U=2.5

H 1:U<2.5 miles

C. H 0:U=2.5 miles

H 1: U =/2.5 miles

D. H 0: U<2.5 miles

H 1: U=2.5 miles