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 2.7 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.

Question

Mathematics

Kenna

27 October, 12:32

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 2.7 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.

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Kinley Edwards · Answer 1

Question:

The question is incomplete. The display technology was not given. Find below the complete question and the answers.

Display from technology:

Hypothesis Test Results

μ : Mean of variable

H₀ : μ=2.7 miles

HA : μ >2.7 miles

Variable Sample Mean Std. Err. DF T-Stat P-value

Length 3.23601 0.285185 499 2.230166 0.0131

Step-by-step explanation:

From the result obtained, we have;

Null hypothesis: H₀ : μ=2.7 miles

Alternative hypothesis: HA : μ >2.7 miles

Test statistics = 2.230166

P-value = 0.0131

Significant level: α = 0.05

Since the P value is less than the significance level, we can reject the null hypothesis.

There is no sufficient evidence to support the claim that the mean tornado length is greater than 2.7 miles