Question

A control group and a treatment group reciebe placebo and medicine. after 9 weeks their VLDL in mg/dl is below. Assume equal variance

TRUE or FALSE we ha e evidence to xonclude that 2 geoups have different VLDL alpha =0.05

Control Treatment

19. 19

25. 12

6. 18

11. 27

10. 20

23. 22

7. 25

2. 21

22. 11

13. 9

6. 20

8. 27

25. 16

Answer 1

	Control	Treatment
mean	13.62	19.00
std. dev.	8.13	5.79
n	13	13

To Test :-

H0 :- µ1 = µ2
H1 :- µ1 ≠ µ2

Test Statistic :-
t = (X̅1 - X̅2) / SP √ ( ( 1 / n1) + (1 / n2))

Sp = 7.057

t = -1.95

Test Criteria :-
Reject null hypothesis if | t | > t(α/2, n1 + n2 - 2)
Critical value t(α/2, n1 + n1 - 2) = t(0.05 /2, 13 + 13 - 2) = 2.064
| t | > t(α/2, n1 + n2 - 2) = 1.95 < 2.064
Result :- Fail to reject Null Hypothesis

There is insufficient evidence to support the claim that 2 groups have different VLDL.