In: Statistics and Probability
1. To evaluate the effect of a treatment, a sample (n = 16) is obtained from a population with a mean of µ = 30 and a treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 31.3 with a sample standard deviation of s = 3.
Are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05?
Provide the following to answer this question:
A. Critical Region:
B. Estimated Standard Error:
C. t-statistic:
D. Decision based on null hypothesis:
E. APA format:
Solution :
= 30
M =31.3
S =3
n = 16
This is the two tailed test .
The null and alternative hypothesis is ,
H0 : = 30
Ha : 30
Test statistic = t
= (M - ) / S / n
= (31.3 -30 ) / 3 / 16
= 1.733
Test statistic = t = 1.733
P-value =0.1036
= 0.05
P-value >
0.1036 > 0.05
fFail to reject the null hypothesis .
There is insufficient evidence to suggest that