Question

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:

Answer 1

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