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 | 46 | 49 | 20 | 17 | 32 | 13 | 32 | 39 | 45 | 16 | 51 | 37 |
B | 32 | 23 | 51 | 41 | 51 | 52 | 21 | 27 | 48 | 22 | 22 | 33 |
Click here for the Excel Data File |
(a) | Choose the appropriate hypotheses. Assume μd is the average difference in weeks between team A and team B. | ||||||
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(b) |
Specify the decision rule at the .10 level of significance. |
Reject the null hypothesis if the p-value is (Click to select)less thangreater than 0.10 |
(c) |
Find the test statistic tcalc. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) |
tcalc |
(d) |
Find the p-value. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.) |
p-value |
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