Question 324284: 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. At the .10 level of significance, are the evaluator teams consistent in their estimates? State your hypotheses and show all steps clearly.
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
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 12 randomly chosen patients are separately evaluated by two expert teams (A and B) as shown. At the .10 level of significance, are the evaluator teams consistent in their estimates? State your hypotheses and show all steps clearly.
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
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Note: This data is a set of dependent pairs.
Use a t-test
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Ho: ud = 0
Ha: ud is not 0
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Difference DATA (A-B): 0,4,0,-6,4,-6,-6,-6,2,-12,0,-4
xbar = -2.5 ; s = 4.9082
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t(-2.5) = -2.5/4.9082 = -0.5094
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p-value = 2*P(t<-0.5094 when df = 11) = 0.6205
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Since the p-value is greater than 5%, fail to reject Ho.
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The data does not indicate a difference at the 5% significance level.
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Cheers,
Stan H.
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