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 WeeksPatientTeam123456789101112A152051192921342536213932B264434282950253638372832

Click here for the Excel Data File

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

H₀:_d= 0 vs.H₁:_d 0

(b)Specify the decision rule atthe .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 thep-value is

(Click to select)

less than

greater than

.10 or ift_calct_calc>.

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

t_calc

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

p-value