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 andB) 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. Assumeμd
is the difference in mean lengths of teamA and teamB.
a.H
0:μ
d ≤ 0 vs.H
1:μ
d > 0
b.H
0:μ
d ≥ 0 vs.H
1:μ
d <>
c.H
0:μ
d = 0 vs.H
1:μ
d ≠ 0
(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 thep-value is (Click to select) greater than less than .10 or ift
calc <>t
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
(e)Make a decision.
We (Click to select) reject do not reject the null hypothesis.
(f)State your conclusion.