A data set includes data from 500 random tornadoes. The display from t

hroncits8y

hroncits8y

Answered question

2021-12-03

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 2.9 miles. Use a 0.05 significance level.
1. Identify the null and alternative​ hypotheses,
2. Identify the test​ statistic,
3. Identify the P-value,
4. State the final conclusion that addresses the original claim.
Hypothesis test results:
μ: Mean of variable
H0:μ=2.9
HA:μ>2.9
VariableSample MeanStd.Err.DFTStatPvalueLength3.125390.2800114990.8049330.2106

Answer & Explanation

Kara Dillon

Kara Dillon

Beginner2021-12-04Added 12 answers

Step 1
Solution:
From the given information, the output hypothesis test result for the population mean is shown.
Step 2
1. State the hypotheses.
Null hypothesis:
H0:μ=2.9
Alternative hypothesis:
HA:μ>2.9
Step 3
2. From the given output, the T-stat value is 0.804933.
Thus, the test statistic is 0.804933.
Step 4
3. From the given output, the P-value is 0.2106.
Thus, the P-value is 0.2106.
Step 5
4. Rejection rule:
If the P-value is less than or equal to 0.05, then reject the null hypothesis.
Conclusion:
Here, the P-value is 0.2106.
This is greater than 0.05.
By the rejection rule, do not reject the null hypothesis.
Thus, the mean tornado length is not greater than 2.9 miles.

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