A data set includes data from 400 random tornadoes. The display from technology available below results from using the tomado lengths (miles) to test the claim that the mean tornado length is greater than 2.6 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value. State the final conclusion that addresses the original claim.
A data set includes data from 400 random tornadoes. The display from technology available below results from using the tomado lengths (miles) to test the claim that the mean tornado length is greater than 2.6 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value. State the final conclusion that addresses the original claim.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Transcribed Image Text:A data set includes data from 400 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 2.6 miles. Use a 0.05 significance level. Use the display to identify the null and alternative hypotheses, test statistic, and P-value.
State the final conclusion that addresses the original claim.
Hypothesis test results:
Mean of variable
| Ho H=2.6
HAH>2.6
Variable Sample Mean
Length
2.75311
Std. Err. DF
0.274284 399
T-Stat
0.558217
P-value
0.2885
OA. Fail to reject Ho. There is not sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles.
OB. Reject Ho. There is not sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles.
OC. Reject Ho. There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
OD. Fail to reject Ho. There is sufficient evidence to support the claim that the mean tornado length is greater than 2.6 miles
Expert Solution
Step 1
Test is that whether the mean tomado length is greater than 2.6 miles.
It is given that
Level of significance = 0.05
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Solved in 3 steps
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