Question

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:	1	2	3	4	5	6	7	8	9	10	11	12	13	14
CL:	57.2	35.7	54.5	56.8	51.1	70.8	77.3	51.6	54.7	63.6	59.2	59.2	55.8	38.9
CO:	44.5	52.1	60.2	52.7	47.2	65.6	71.4	48.8	53.1	66.3	59.8	47.5	64.5	34.6

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 a statistical computer package to calculate the P-value. Use μ_CL − μ_CO. Round your test statistic to two decimal places and your P-value to three decimal places.)

t	=
df	=
P-value	=

We do not reject H₀. We have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.
We reject H₀. We have no evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.    
We do not reject H₀. We have no evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.
We reject H₀. We have convincing evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.

Answer 1

from above t =0.62

df =13

p value=0.272 (try 0.273 if this comes wrong and revert)

We do not reject H₀. We have no evidence that mean neck rotation is greater in the clockwise direction than in the counterclockwise direction.