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.
Estimated Length of Stay in WeeksPatient Team123456789101112 A405051522948332316214043 B242846184939512225251938
(a) Choose the appropriate hypotheses. Assume μd is the difference in mean lengths of team A and team B.
H0: μd ≥ 0 vs. H1: μd < 0H0: μd ≤ 0 vs. H1: μd > 0H0: μd = 0 vs. H1: μd ≠ 0
(b) Specify the decision rule at the .10 level of significance.(Round your answers to 3 decimal places. A negative values should be indicated by a minus sign.)
Reject the null hypothesis if the p-value is
(Click to select)
0.10 or if tcalc< —— or tcalc > ——=.
(c) Find the test statistic tcalc. (Round your answer to 3 decimal places.