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        Click here for the Excel Data File     (a) Choose the appropriate hypotheses. Assume μd is the difference in mean lengths of team A and team B.   a. H0: μd ≤ 0 vs. H1: μd > 0 b. H0: μd ≥ 0 vs. H1: μd < 0 c. H0: μd = 0 vs. H1: μd ≠ 0     a b c     (b) Specify the decision rule at the .10 level of significance. (Round your answers to 3 decimal places. Negative values should be indicated by a minus sign.)   Reject the null hypothesis if the p-value is   (Click to select)   greater than   less than  .10 or if tcalc <  or tcalc >  .   (c) Find the test statistic tcalc. (Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.)   tcalc                (d) Find the p-value. (Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.)   p-value                (e) Make a decision.   We   (Click to select)   reject   do not reject  the null hypothesis.   (f) State your conclusion.   We   (Click to select)   cannot   can  conclude that the evaluator teams are consistent in their estimates.

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Author:Amos Gilat
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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
 

 

 
 Click here for the Excel Data File

 

 

(a) Choose the appropriate hypotheses. Assume μd is the difference in mean lengths of team A and team B.

 

a. H0μd ≤ 0 vs. H1μd > 0

b. H0μd ≥ 0 vs. H1μd < 0

c. H0μd = 0 vs. H1μd ≠ 0

 

 

  • a
  • b
  • c

 

 

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

 

Reject the null hypothesis if the p-value is   (Click to select)   greater than   less than  .10 or if tcalc <  or tcalc >  .

 

(c) Find the test statistic tcalc(Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.)

 

tcalc             

 

(d) Find the p-value. (Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.)

 

p-value             

 

(e) Make a decision.

 

We   (Click to select)   reject   do not reject  the null hypothesis.

 

(f) State your conclusion.

 

We   (Click to select)   cannot   can  conclude that the evaluator teams are consistent in their estimates.

 
 
 
 
 
 
 
 
 
 
 
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