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If we are testing for the difference between the means of 2 independent populations presuming equal variances with samples of n1 = 20 and n2 = 20, the number of degrees of freedom is equal to a. 38. b. 19. c. 18. d. 39.

Respuesta :

Answer:

Null hypothesis: [tex]\mu_1= \mu_2[/tex]

Alternative hypothesis:[tex]\mu_1 =\neq \mu_2[/tex]

And for this case we assume that we have equal variances so that means:

[tex]\sigma =\sigma_1 =\sigma_2[/tex]

For this case the degrees of freedom are given by:

[tex] df= n_1 +n_2 -2[/tex]

And replacing we got:

[tex] df= 20+20 -2= 38[/tex]

And the best answer would be:

a. 38

Step-by-step explanation:

For this problem we want to test the following:

Null hypothesis: [tex]\mu_1= \mu_2[/tex]

Alternative hypothesis:[tex]\mu_1 =\neq \mu_2[/tex]

And for this case we assume that we have equal variances so that means:

[tex]\sigma =\sigma_1 =\sigma_2[/tex]

For this case the degrees of freedom are given by:

[tex] df= n_1 +n_2 -2[/tex]

And replacing we got:

[tex] df= 20+20 -2= 38[/tex]

And the best answer would be:

a. 38

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