In: Statistics and Probability
Solve in steps
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 (CL) and in the counterclockwise direction (CO). For purposes of this exercise, you can assume that the 14 subjects are representative of population of adult Americans.
Subject | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
CL | 57 | 35 | 54 | 56 | 51 | 70 | 77 | 51 | 54 | 63 | 59 | 59 | 55 | 38 |
CO | 44 | 52 | 60 | 52 | 47 | 65 | 71 | 48 | 53 | 66 | 59 | 47 | 64 | 34 |
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
Step 1: Null Hypothesis and Alternative Hypothesis
Step 2: Value for alpha
Step 3: Value for N, Value for xBar, Value for S(standard deviation), Value for Test Statistic T and, P value
Step 4: Reject or Not Reject the Null hypothesis