Question

State the total degrees of freedom for the following t-tests. (If you need to use ∞, enter INFINITY.)

(a)n = 21

for a one-independent sample t-test


(b)df₁ = 12, n₂ = 25

for a two-independent sample t-test


(c) critical value = 1.645 for a one-tailed test,

α = 0.05

(d) critical value = 63.657 for a two-tailed test,

α = 0.01

Answer 1

a)

We know that the degrees of freedom taken by the t-statistic for a one sample t-test is .

So, required degrees of freedom =

b)

We know that the degrees of freedom taken by the t-statistic for a two sample t-test is .

So, required degrees of freedom =

c)

We know that the degrees of freedom for which the t-statistic takes the critical value 1.645 at 5% level of significance is INFINITY.

{Using probability tables}

d)

We know that the degrees of freedom for which the t-statistic takes the critical value 63.657 at 0.5% level of significance is 1.

{Using probability tables}