A clinical psychologist wants to choose between two treatment methods. She rando
ID: 3153190 • Letter: A
Question
A clinical psychologist wants to choose between two treatment methods. She randomly selects 3 patients to receive therapy 1 and 3 patients to receive therapy 2. After 1 month of treatment, their improvement is scored on a numeric scale, with a higher number implying greater improvement. The scores are given. The null hypothesis is Upper H 0 : mu 1 equals mu 2H0: 1=2. Assume equal population standard deviations.
29, 50, 45
10, 20, 30
What is the t value?
What is the P value?
Therapy 1:29, 50, 45
Therapy 2:10, 20, 30
What is the t value?
What is the P value?
Explanation / Answer
Set Up Hypothesis
Null Hypothesis, There Is NoSignificance between them Ho: u1 = u2
Alternative Hypothesis, There Is Significance between themH1: u1 != u2
Test Statistic
X (Mean)=41.3333; Standard Deviation (s.d1)=10.9697
Number(n1)=3
Y(Mean)=20; Standard Deviation(s.d2)=10
Number(n2)=3
Value Pooled variance S^2= (n1-1*s1^2 + n2-1*s2^2 )/(n1+n2-2)
S^2 = (2*120.33 + 2*100) / (6- 2 )
S^2 = 110.17
we use Test Statistic (t) = (X-Y)/Sqrt(S^2(1/n1+1/n2))
to=41.3333-20/Sqrt((110.17( 1 /3+ 1/3 ))
to=21.33/8.57
to=2.49
| to | =2.49
Critical Value
The Value of |t | with (n1+n2-2) i.e 4 d.f is 2.776
We got |to| = 2.49 & | t | = 2.776
Make Decision
Hence Value of |to | < | t | and Here we Do not Reject Ho
P-Value: Two Tailed ( double the one tail ) - Ha : ( P != 2.4893 ) = 0.0552
Hence Value of P0.05 < 0.0552,Here We Do not Reject Ho
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.