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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 2.2 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

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Answer:

The answer is:

[tex]H_0:\mu=2.2\\H_1:\mu> 2.2[/tex]

Explanation:

[tex]H_0:\mu=2.2\\H_1:\mu> 2.2[/tex]

The test value of statistic t= [tex]\frac{\bar x-\mu}{\frac{s}{\sqrt{n}}}[/tex]

                                               [tex]=\frac{2.31688-2.2}{0.206915}\\\\=0.56[/tex]

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.

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