A recent study investigated tractor skidding distances along a road in a forest. The skidding distances (in meters) were measured at 20 randomly selected road sites. The data are given in th accompanying table. A logger working on the road claims that the mean skidding distance is at least 425 meters. Is there sufficient evidence to refute this claim? Use a = 0.10. E Click the icon to view the table. State the hypotheses to test if there is sufficient evidence to refute the claim that the mean skidding distance is at least 425 meters. Choose the correct answer below. A. Ho: H= 425 H3: H<425 O B. Ho: H= 425 H,: u> 425 O D. Ho: H= 425 O C. Ho: H#425 H: u= 425 H3: u# 425 Calculate the value of the test statistic. t%3D (Round to two decimal places as needed.) Data Table 497 348 451 200 282 416 425 588 445 556 397 302 183 263 269 393 308 305 142 434 Print Done Enter your answer in the answer box and t
A recent study investigated tractor skidding distances along a road in a forest. The skidding distances (in meters) were measured at 20 randomly selected road sites. The data are given in th accompanying table. A logger working on the road claims that the mean skidding distance is at least 425 meters. Is there sufficient evidence to refute this claim? Use a = 0.10. E Click the icon to view the table. State the hypotheses to test if there is sufficient evidence to refute the claim that the mean skidding distance is at least 425 meters. Choose the correct answer below. A. Ho: H= 425 H3: H<425 O B. Ho: H= 425 H,: u> 425 O D. Ho: H= 425 O C. Ho: H#425 H: u= 425 H3: u# 425 Calculate the value of the test statistic. t%3D (Round to two decimal places as needed.) Data Table 497 348 451 200 282 416 425 588 445 556 397 302 183 263 269 393 308 305 142 434 Print Done Enter your answer in the answer box and t
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![**Title: Statistical Analysis of Tractor Skidding Distances**
**Introduction:**
A recent study investigated the skidding distances of tractors along a road in a forest. Twenty random road sites were selected, and the skidding distances (in meters) were measured at each site. A logger working on the road claims that the mean skidding distance is at least 425 meters. This study aims to determine if there is sufficient evidence to refute this claim using a significance level (α) of 0.10.
**Instructions:**
1. Click the icon to view the data table.
2. Formulate the null and alternative hypotheses.
3. Calculate the value of the test statistic.
4. Enter your answer in the provided answer box.
**Hypotheses:**
Select the hypotheses to test if there is sufficient evidence to refute the logger's claim that the mean skidding distance is at least 425 meters. The correct answer is indicated as follows:
- A. \( H_0: \mu = 425 \)
\( H_a: \mu < 425 \)
- B. \( H_0: \mu = 425 \)
\( H_a: \mu > 425 \)
- C. \( H_0: \mu \neq 425 \)
\( H_a: \mu = 425 \)
- D. \( H_0: \mu = 425 \)
\( H_a: \mu \neq 425 \)
**Data Table:**
The skidding distance data (in meters) from the 20 road sites are as follows:
\[
\begin{array}{cccccc}
497 & 348 & 451 & 200 & 282 & 416 \\
425 & 588 & 445 & 556 & 397 & 302 \\
183 & 263 & 269 & 393 & 308 & 305 \\
142 & 434 & &
\end{array}
\]
**Calculations:**
Calculate the value of the test statistic (t) using the given data. Round your answer to two decimal places as needed.
**Entering the Answer:**
Input your calculated test statistic (t) in the answer box provided.
By following these steps and using the provided data, you can determine whether there is sufficient evidence to refute the claim that the mean skidding distance is at least 425 meters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0d0fca7b-87e2-42be-9458-260269753889%2F46c4f5cf-4442-43d3-b260-b58f3d3d3222%2Fyp18k5t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Statistical Analysis of Tractor Skidding Distances**
**Introduction:**
A recent study investigated the skidding distances of tractors along a road in a forest. Twenty random road sites were selected, and the skidding distances (in meters) were measured at each site. A logger working on the road claims that the mean skidding distance is at least 425 meters. This study aims to determine if there is sufficient evidence to refute this claim using a significance level (α) of 0.10.
**Instructions:**
1. Click the icon to view the data table.
2. Formulate the null and alternative hypotheses.
3. Calculate the value of the test statistic.
4. Enter your answer in the provided answer box.
**Hypotheses:**
Select the hypotheses to test if there is sufficient evidence to refute the logger's claim that the mean skidding distance is at least 425 meters. The correct answer is indicated as follows:
- A. \( H_0: \mu = 425 \)
\( H_a: \mu < 425 \)
- B. \( H_0: \mu = 425 \)
\( H_a: \mu > 425 \)
- C. \( H_0: \mu \neq 425 \)
\( H_a: \mu = 425 \)
- D. \( H_0: \mu = 425 \)
\( H_a: \mu \neq 425 \)
**Data Table:**
The skidding distance data (in meters) from the 20 road sites are as follows:
\[
\begin{array}{cccccc}
497 & 348 & 451 & 200 & 282 & 416 \\
425 & 588 & 445 & 556 & 397 & 302 \\
183 & 263 & 269 & 393 & 308 & 305 \\
142 & 434 & &
\end{array}
\]
**Calculations:**
Calculate the value of the test statistic (t) using the given data. Round your answer to two decimal places as needed.
**Entering the Answer:**
Input your calculated test statistic (t) in the answer box provided.
By following these steps and using the provided data, you can determine whether there is sufficient evidence to refute the claim that the mean skidding distance is at least 425 meters.
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