Head movement evaluations are important because disabled individuals may be able to operate communications aids using head motion. A paper reported the accompanying data on neck rotation (in degrees) for 14 subjects both in the clockwise direction (CL) and in the counterclockwise direction (CO). For purposes of this exercise, you can assume that the 14 subjects are representative of the population of adult Americans. Subject: Find the df. df = 13 11 12 13 14 59.2 59.2 55.8 38.7 59.8 47.5 64.5 34.2 Based on these data, is it reasonable to conclude that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction? Carry out a hypothesis test using a significance level of 0.01. (Use HCL -#co¹) Find the test statistic. (Round your answer to two decimal places.) t = 0.60 x CL: 2 CO: 3 6 7 5 51.1 70.8 10 54.7 63.6 9 Use technology to find the P-value. (Round your answer to four decimal places.) P-value = 0.2793x State your conclusion. 57.6 35.7 54.5 56.8 77.3 51.6 44,3 52.1 60.2 52.7 47.2 65.6 71.4 48.8 53.1 66.3 O Fail to reject H. We have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction. Fail to reject H. We do not have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction. O Reject H. We do not have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction. O Reject H. We have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.
Head movement evaluations are important because disabled individuals may be able to operate communications aids using head motion. A paper reported the accompanying data on neck rotation (in degrees) for 14 subjects both in the clockwise direction (CL) and in the counterclockwise direction (CO). For purposes of this exercise, you can assume that the 14 subjects are representative of the population of adult Americans. Subject: Find the df. df = 13 11 12 13 14 59.2 59.2 55.8 38.7 59.8 47.5 64.5 34.2 Based on these data, is it reasonable to conclude that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction? Carry out a hypothesis test using a significance level of 0.01. (Use HCL -#co¹) Find the test statistic. (Round your answer to two decimal places.) t = 0.60 x CL: 2 CO: 3 6 7 5 51.1 70.8 10 54.7 63.6 9 Use technology to find the P-value. (Round your answer to four decimal places.) P-value = 0.2793x State your conclusion. 57.6 35.7 54.5 56.8 77.3 51.6 44,3 52.1 60.2 52.7 47.2 65.6 71.4 48.8 53.1 66.3 O Fail to reject H. We have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction. Fail to reject H. We do not have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction. O Reject H. We do not have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction. O Reject H. We have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.
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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Transcribed Image Text:**Educational Website Transcription: Head Movement Evaluations**
Head movement evaluations are important because disabled individuals may be able to operate communication aids using head motion. A study provided data on neck rotation (in degrees) for 14 subjects both in the clockwise direction (CL) and in the counterclockwise direction (CO). For this exercise, it is assumed that the 14 subjects are representative of the population of adult Americans.
**Data Table:**
- Subjects are numbered from 1 to 14.
- CL (Clockwise direction) neck rotation degrees: 57.6, 54.5, 50.6, 77.3, 51.6, 52.4, 57.3, 56.7, 58.7, 54.3, 63.6, 59.2, 55.8, 38.7.
- CO (Counterclockwise direction) neck rotation degrees: 50.4, 52.1, 60.2, 52.7, 47.1, 65.6, 71.4, 61.2, 52.5, 54.9, 63.5, 59.8, 47.5, 64.5, 34.2.
**Hypothesis Testing:**
- Is it reasonable to conclude that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction?
- A hypothesis test is conducted using a significance level of 0.01, where \( H_0: \mu_{CL} = \mu_{CO} \).
**Test Statistic and Results:**
- Calculated t-value: 3.60
- Degrees of freedom (df): 13
- P-value using technology: 0.2783
**Conclusion Options:**
- **Incorrect: Fail to reject \( H_0 \).** We do not have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.
- **Incorrect: Fail to reject \( H_0 \).** We do not have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.
- **Incorrect: Reject \( H_0 \).** We do have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.
- **Correct: Reject \( H_0 \).
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