A cognitive retraining clinic assists outpatient victims of head injury, anoxia,

Question

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 38 26 25 46 47 23 41 23 18 28 31 52

B 37 32 35 16 51 37 40 33 16 33 42 34

a)

Specify the decision rule at the .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 the p value is less than .10 or if tcalc < _______ or tcalc >________

Find the test statistic tcalc.

(3 decimal places) _______

Find the p-value. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)

Specify the decision rule at the .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 the p value is less than .10 or if tcalc < _______ or tcalc >________

(c)

Find the test statistic tcalc.

(3 decimal places) _______

(d)

Find the p-value. (Round your answer to 3 decimal places. A negative value should be indicated by a minus sign.)

Explanation / Answer

H0: There is no difference bewteen means of twogroups

H1: Ther is a difference between means of two groups

alpha:10%

Test statistic:

From Excel

t cal=0.951

Conclsuion:

P value=0.3577

P>0.1, we donot reject the H0. Hence claim is not significant

t-Test: Two-Sample Assuming Unequal Variances a b Mean 41.5 33.83333 Variance 683.1818 96.51515 Observations 12 12 Hypothesized Mean Difference 0 df 14 t Stat 0.951118 P(T<=t) one-tail 0.178838 t Critical one-tail 1.34503 P(T<=t) two-tail 0.357677 t Critical two-tail 1.76131

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