A data set includes data from 500 random tornadoes. The display from technology avalable below results from using the tornado lengths (miles) to test the claim that the mean tornado length is greater than 23 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 onginal claim.
(i) Click the icon to view the display from technology
Assuming all conditions for conducting a hypothesis test are met, what are the null and altemative hypotheses?
A. $\mu_{0}=\mu=23$ miles $H_{1}: \mu< 23$ miles
C. $\mathrm{H}_{0}, \mu< 23$ miles $H_{1}: \mu=2.3$ miles
Identify the test statistic
$\Pi$ (Round to two decimal places as needed)
B. $H_{6}: \mu=2.3$ miles $H_{1}: \mu> 2.3$ miles
D. $H_{0} \cdot \mu=2.3$ miles $H_{1}: \mu \neq 23$ miles
Answer
Alternative Hypothesis: \(\boxed{\mu > 23}\) miles
Step 1 ：The null hypothesis is a statement of no effect or status quo, in this case, it would be that the mean tornado length is equal to 23 miles.
Step 2 ：The alternative hypothesis is what we are testing against the null hypothesis, in this case, it would be that the mean tornado length is greater than 23 miles.
Step 3 ：Without any data or further information, we cannot calculate the test statistic and P-value.
Step 4 ：Without any data or further information, we cannot make a conclusion.
Step 5 ：Null Hypothesis: \(\boxed{\mu = 23}\) miles
Step 6 ：Alternative Hypothesis: \(\boxed{\mu > 23}\) miles
