We test for a hypothesized difference between two population means: H0: μ1 = μ2. The population standard deviations are unknown but assumed equal. The number of observations in the first sample is 15 and 12 in the second sample. How many degrees of freedom are associated with the critical value?

Question

Mathematics

Prince Parks

2 December, 16:25

We test for a hypothesized difference between two population means: H0: μ1 = μ2. The population standard deviations are unknown but assumed equal. The number of observations in the first sample is 15 and 12 in the second sample. How many degrees of freedom are associated with the critical value?

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Koen Herring · Answer 1

The degrees of freedom associated with the critical value is 25.

Step-by-step explanation:

The number of values in the final calculation of a statistic that are free to vary is referred to as the degrees of freedom. That is, it is the number of independent ways by which a dynamic system can move, without disrupting any constraint imposed on it.

The degrees of freedom for the t-distribution is obtained by substituting the values of n1 and n2 in the degrees of freedom formula.

Degrees of freedom, df = n1 +n2 -2

= 15+12-2=27-2=25

Therefore, the degrees of freedom associated with the critical value is 25.