12. [-13 Points] DETAILS DEVORESTATS 12.5.060. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 10 11 12 13 14 A statistical p

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12 13 Points Details Devorestats 12 5 060 My Notes Ask Your Teacher Practice Another 10 11 12 13 14 A Statistical P 1 (109.43 KiB) Viewed 24 times

12. [-13 Points] DETAILS DEVORESTATS 12.5.060. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 10 11 12 13 14 A statistical program is recommended. Head movement evaluations are important because individuals, especially those who are disabled, may be able to operate communications aids in this manner. An article reported data on ranges in maximum inclination angles of the head in the clockwise anterior, posterior, right, and left directions for 14 randomly selected subjects. Consider the accompanying data on average anterior maximum inclination angle (AMIA) both in the clockwise direction and in the counterclockwise direction. Subj: 1 2 3 4 5 6 Clockwise (CI): 57.9 34.7 54.5 55.8 51.1 70.8 77.3 51.6 54.7 63.6 59.2 59.2 55.8 38.5 Counterclockwise (Co): 44.2 52.1 60.2 51.7 47.2 65.5 71.4 49.8 53.1 66.3 59.8 47.5 64.5 34.5 (2) Calculate a point estimate of the population correlation coefficient between CIAMIA and CO AMIAC = 784.7, C = 766.9,0? = 45,544.31, Σce - = 43,373.67. Ecco ICO = 44,027.27. Round your answer to three decimal places.) = Co = (b) Assuming bivariate normality (normal probability plots of the Cl and Co samples are reasonably straight), carry out a test at significance level 0.01 to decide whether there is a linear association between the two variables in the population (as do the authors of the cited paper). State the appropriate null and alternative hypotheses. OH: p = 0 Hip=0 OH : p = 0 HO OH: 0 Hp = 0 OH: P = 0 Hip > 0 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) += P-value = State the conclusion in the problem context. Reject Ho. The population correlation coefficient between clockwise and counterclockwise rotation is not zero. O Fail to reject H. The population correlation coefficient between clockwise and counterclockwise rotation is not zero. Reject Ho. The population correlation coefficient between clockwise and counterclockwise rotation is zero. Fail to reject Ho. The population correlation coefficient between clockwise and counterclockwise rotation is zero. Would the conclusion have been the same if a significance level of 0.001 had been used? We would make the same conclusion at the 0.001 level, as the P-value is larger than 0.01. We would not make the same conclusion at the 0.001 level, as the P-value is between 0.001 and 0.01. We would make the same conclusion at the 0.001 level, as the P-value is between 0.001 and 0.01. We would make the same conclusion at the 0.001 level, as the P-value is less than 0.001. Need Help? Read it