EQuestion Help 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 tomado length is greater than 2.7 m Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Click the icon to view the display from technology.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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How do you find the t stat on technology

**Homework: HW 8.3**

**Score:** 0.2 of 1 pt

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**Question 8.3.12**

A data set includes data from 400 random tornadoes. The display from technology available below shows 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 hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

**Click the icon to view the display from technology.**

Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses?

- **A.** \( H_0: \mu < 2.7 \text{ miles} \)
  \( H_1: \mu = 2.7 \text{ miles} \)
  
- **B.** \( H_0: \mu = 2.7 \text{ miles} \)
  \( H_1: \mu \neq 2.7 \text{ miles} \)
  
- **C.** \( H_0: \mu = 2.7 \text{ miles} \)
  \( H_1: \mu < 2.7 \text{ miles} \)
  
- **D.** \( H_0: \mu = 2.7 \text{ miles} \)
  \( H_1: \mu > 2.7 \text{ miles} \)

(Option D is selected)

**Identify the test statistic.**

(Round to two decimal places as needed.)

Enter your answer in the answer box and then click Check Answer.

[Interface elements show 2 parts remaining for the question, with options to input and check answers.]

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This task involves setting up and conducting a hypothesis test to determine if the mean tornado length exceeds a specified value using a significance level of 0.05. The primary focus is on formulating the correct hypotheses, calculating the relevant statistics, and drawing a valid conclusion based on the data obtained.
Transcribed Image Text:**Homework: HW 8.3** **Score:** 0.2 of 1 pt --- **Question 8.3.12** A data set includes data from 400 random tornadoes. The display from technology available below shows 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 hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. **Click the icon to view the display from technology.** Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? - **A.** \( H_0: \mu < 2.7 \text{ miles} \) \( H_1: \mu = 2.7 \text{ miles} \) - **B.** \( H_0: \mu = 2.7 \text{ miles} \) \( H_1: \mu \neq 2.7 \text{ miles} \) - **C.** \( H_0: \mu = 2.7 \text{ miles} \) \( H_1: \mu < 2.7 \text{ miles} \) - **D.** \( H_0: \mu = 2.7 \text{ miles} \) \( H_1: \mu > 2.7 \text{ miles} \) (Option D is selected) **Identify the test statistic.** (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. [Interface elements show 2 parts remaining for the question, with options to input and check answers.] --- This task involves setting up and conducting a hypothesis test to determine if the mean tornado length exceeds a specified value using a significance level of 0.05. The primary focus is on formulating the correct hypotheses, calculating the relevant statistics, and drawing a valid conclusion based on the data obtained.
Expert Solution
Step 1

For 1st question Option D is correct answer in this question

H0 : u= 2.7 miles

H1 : u> 2.7 miles

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