An analysis of variance is used to evaluate the mean differences for a research study comparing four treatments with a separate sample of n = 8 in each treatment. If the data produce an F-ratio of F = 5.50, then which statistical decision is correct?​a. Reject the null hypothesis with ? = .05 but not with ? = .01.
b. Reject the null hypothesis with either ? = .05 or ? = .01.
c. Fail to reject the null hypothesis with either ? = .05 or ? = .01.
d. There is not enough information to make a statistical decision.

Respuesta :

Answer:

c. Fail to reject the null hypothesis with either alpha = .05 or alpha = .01

Step-by-step explanation:

Given that an analysis of variance is used to evaluate the mean differences for a research study comparing four treatments with a separate sample of n = 8 in each treatment. If the data produce an F-ratio of F = 5.50

No of treatments = 4

sample size n = 8

Hence Degrees of freedom for F would be

4-1, 8-4

=3, 4

p value = 0.066558

This p value >0.05 and also greater than 0.01

Hence at 5% level and also at 1% level we accept null hypothesis.

c. Fail to reject the null hypothesis with either alpha = .05 or alpha = .01.