A cognitive retraining clinic assists outpatient victims of head injury, anoxia, or other conditions that result in cognitive impairment. Each incoming patient is evaluated to establish an appropriate treatment program and estimated length of stay. To see if the evaluation teams are consistent, 12 randomly chosen patients are separately evaluated by two expert teams (A and B) as shown.

Please show all work with answers.

Estimated Length of Stay in Weeks Patient

Team 1 2 3 4 5 6 7 8 9 10 11 12

A 24 24 52 30 40 30 18 30 18 40 24 12

B 24 20 52 36 36 36 24 36 16 52 24 16

(a) Specify the decision rule at the .10 level of significance. (Round answer to 3 decimal places. Negative values should be indicated by a minus sign.)

Reject the null hypothesis if the p-value is less than 0.10 or if t-calc < ________ or t-calc > _________.

(b) Find the test statistic t-calc. (Round answer to 4 decimal places. Negative value should be indicated by a minus sign.)

t-calc = ___________

(c) Find the p-value. (Round answer to 4 decimal places. Negative value should be indicated by a minus sign.)

p-value = ___________