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 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 24 36 16 52 24 24 16 a. H0: μd ≤ 0 vs. H1: μd > 0 b. H0: μd ≥ 0 vs. H1: μd < 0 c. H0: μd = 0 vs. H1: μd ≠ 0 (b) Specify the decision rule at the .10 level of significance. (Round answers to 3 decimal places. Negative values should be indicated by a minus sign.) (c) Find the test statistic tcalc. (Round answer to 4 decimal places. A negative value should be indicated by a minus sign.) (d) Find the p-value.
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 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 | 24 | 36 | 16 | 52 | 24 | 24 | 16 |
a. H0: μd ≤ 0 vs. H1: μd > 0
b. H0: μd ≥ 0 vs. H1: μd < 0
c. H0: μd = 0 vs. H1: μd ≠ 0
(b) Specify the decision rule at the .10 level of significance. (Round answers to 3 decimal places. Negative values should be indicated by a minus sign.)
(c) Find the test statistic tcalc. (Round answer to 4 decimal places. A negative value should be indicated by a minus sign.)
(d) Find the p-value.
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