Question

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 2.2 miles. Use a 0.05 significance level. Identify the null and alternative​ hypothesis, test​ statistic, P-value, and state the final conclusion that addresses the original claim. LOADING... Click the icon to view the display from technology. What are the null and alternative​ hypotheses

Answer 1

The answer is:

`H_0:\mu=2.2\\H_1:\mu> 2.2`

Step-by-step explanation:

`H_0:\mu=2.2\\H_1:\mu> 2.2`

The test value of statistic t=
`(\bar x-\mu)/((s)/(√(n)))`

`=(2.31688-2.2)/(0.206915)\\\\=0.56`

The value of P = P(T>0.56)

=1-P(T<0.56)

=1-0.712

=0.288

• Since the P value exceeds its mean value (0.288>0.05), the null assumption must not be rejected. Don't ignore H0.
• This assertion, it mean length of the tornado is greater than 2.2 miles also isn't backed by enough evidence.