High School

An experiment has 5 treatments, and 11 replicates were obtained for each of the treatments. How many degrees of freedom are associated with the error?

A. 2
B. 5
C. 11
D. 39
E. 50
F. 55
G. 75
H. 79
I. 90
J. 91

Answer :

Final answer:

The degrees of freedom associated with the error in this experiment is 50.

Explanation:

The degrees of freedom associated with the error in this experiment can be calculated using the formula:



df = (N-1) - (a-1)



Where df is the degrees of freedom, N is the total number of replicates, and a is the number of treatment groups.



Given that there are 11 replicates for each of the 5 treatments, the total number of replicates is 11 x 5 = 55. The number of treatment groups is 5. Plugging these values into the formula, we get:



df = (55-1) - (5-1) = 54 - 4 = 50

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