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 the 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 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. O B. Ho: H= 425 H u# 425 OD. H μ 425 VA. H: H= 425 Hu<425 OC. Ho: H#425 H =425 A Data Table Calculate the value of the test statistic. t= (Round to two decimal places as needed.) 492 348 203 286 399 423 565 440 549 457 389 289 183 260 272 399 315 310 140 416 Print Done
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 the 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 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. O B. Ho: H= 425 H u# 425 OD. H μ 425 VA. H: H= 425 Hu<425 OC. Ho: H#425 H =425 A Data Table Calculate the value of the test statistic. t= (Round to two decimal places as needed.) 492 348 203 286 399 423 565 440 549 457 389 289 183 260 272 399 315 310 140 416 Print Done
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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![### Investigating Tractor Skidding Distances
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 provided in the table below. 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 significance level of \( \alpha = 0.10 \).
#### Hypothesis Testing
To determine if there is sufficient evidence to refute the claim that the mean skidding distance is at least 425 meters, we state the hypotheses as follows:
- \( H_0 \): \( \mu = 425 \)
- \( H_a \): \( \mu < 425 \)
Select the correct answer and calculate the value of the test statistic:
- **A.** \( H_0 \): \( \mu = 425 \); \( H_a \): \( \mu < 425 \) (Selected Option)
- B. \( H_0 \): \( \mu = 425 \); \( H_a \): \( \mu \neq 425 \)
- C. \( H_0 \): \( \mu \geq 425 \); \( H_a \): \( \mu = 425 \)
- D. \( H_0 \): \( \mu = 425 \); \( H_a \): \( \mu > 425 \)
#### Distance Measurements Data (in meters)
Click the icon to view the table.
| 492 | 348 | 457 | 203 | 286 |
|----|----|----|----|----|
| 389 | 289 | 183 | 260 | 272 |
| 399 | 423 | 565 | 440 | 549 |
| 315 | 310 | 140 | 416 |
Calculate the value of the test statistic:
\[ t = \] (Round to two decimal places as needed.)
*Ensure to perform the calculations using the above data to derive the correct test statistic for validating or refuting the logger's claim about skidding distances.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05cf7d90-82b1-4600-90af-c1fd169002d7%2F7575433c-9608-4163-8c0b-23a32af56eb2%2Fzn22g56_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Investigating Tractor Skidding Distances
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 provided in the table below. 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 significance level of \( \alpha = 0.10 \).
#### Hypothesis Testing
To determine if there is sufficient evidence to refute the claim that the mean skidding distance is at least 425 meters, we state the hypotheses as follows:
- \( H_0 \): \( \mu = 425 \)
- \( H_a \): \( \mu < 425 \)
Select the correct answer and calculate the value of the test statistic:
- **A.** \( H_0 \): \( \mu = 425 \); \( H_a \): \( \mu < 425 \) (Selected Option)
- B. \( H_0 \): \( \mu = 425 \); \( H_a \): \( \mu \neq 425 \)
- C. \( H_0 \): \( \mu \geq 425 \); \( H_a \): \( \mu = 425 \)
- D. \( H_0 \): \( \mu = 425 \); \( H_a \): \( \mu > 425 \)
#### Distance Measurements Data (in meters)
Click the icon to view the table.
| 492 | 348 | 457 | 203 | 286 |
|----|----|----|----|----|
| 389 | 289 | 183 | 260 | 272 |
| 399 | 423 | 565 | 440 | 549 |
| 315 | 310 | 140 | 416 |
Calculate the value of the test statistic:
\[ t = \] (Round to two decimal places as needed.)
*Ensure to perform the calculations using the above data to derive the correct test statistic for validating or refuting the logger's claim about skidding distances.*
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