accompanying data on average anterior maximum inclination angle (AMIA) both in the clockwise direction and in the counterclockwise direction. Subj: 6 7 8 Clockwise (CI): 1 2 3 4 5 9 10 11 12 13 14 57.9 35.7 53.5 55.8 51.1 70.8 77.3 51.6 54.7 63.6 59.2 59.2 55.8 38.5 44.2 52.1 60.2 51.7 47.2 65.6 71.4 48.8 53.1 66.3 Counterclockwise (Co): 59.8 47.5 64.5 34.5 (a) Calculate a point estimate of the population correlation coefficient between CI AMIA and Co AMIA (Σε CI = 784.7, Co = 766.9, C1² = 45,506.71, Co² = 43,373.67, CICO = 44,019.17. Round your answer to three decimal places.) (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. OH₂: P = 0 H₂: P<0 OH₁: P = 0 H₂: p > 0 O Ho: P = 0 H₂: P = 0 ⒸH₁: P = 0 H₂: p=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.) t = P-value =

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accompanying data on average anterior maximum inclination angle (AMIA) both in the clockwise direction and in the counterclockwise direction.
Subj:
5
6
7
8
1 2 3 4
9 10 11 12 13 14
57.9 35.7 53.5 55.8 51.1 70.8 77.3 51.6 54.7 63.6 59.2 59.2 55.8 38.5
Clockwise (CI):
Counterclockwise (Co):
44.2 52.1 60.2 51.7 47.2 65.6 71.4 48.8 53.1 66.3 59.8 47.5 64.5 34.5
(a) Calculate a point estimate of the population correlation coefficient between CI AMIA and Co AMIACI = 784.7, Co = 766.9, C1² = 45,506.71,Co² = 43,373.67,
CICO = 44,019.17. Round your answer to three decimal places.)
(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.
O Ho: P = 0
Ha: P < 0
OH₂: P = 0
Ha: P >0
O Ho: P = 0
H₂: P = 0
ⒸH₂: P = 0
H₂: P = 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.)
t =
P-value =
Transcribed Image Text:accompanying data on average anterior maximum inclination angle (AMIA) both in the clockwise direction and in the counterclockwise direction. Subj: 5 6 7 8 1 2 3 4 9 10 11 12 13 14 57.9 35.7 53.5 55.8 51.1 70.8 77.3 51.6 54.7 63.6 59.2 59.2 55.8 38.5 Clockwise (CI): Counterclockwise (Co): 44.2 52.1 60.2 51.7 47.2 65.6 71.4 48.8 53.1 66.3 59.8 47.5 64.5 34.5 (a) Calculate a point estimate of the population correlation coefficient between CI AMIA and Co AMIACI = 784.7, Co = 766.9, C1² = 45,506.71,Co² = 43,373.67, CICO = 44,019.17. Round your answer to three decimal places.) (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. O Ho: P = 0 Ha: P < 0 OH₂: P = 0 Ha: P >0 O Ho: P = 0 H₂: P = 0 ⒸH₂: P = 0 H₂: P = 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.) t = P-value =
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