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gayaneshka [121]
3 years ago
14

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.
Mathematics
1 answer:
Musya8 [376]3 years ago
3 0

Answer:

Null hypothesis: \mu_1= \mu_2

Alternative hypothesis:\mu_1 =\neq \mu_2

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

\sigma =\sigma_1 =\sigma_2

For this case the degrees of freedom are given by:

df= n_1 +n_2 -2

And replacing we got:

df= 20+20 -2= 38

And the best answer would be:

a. 38

Step-by-step explanation:

For this problem we want to test the following:

Null hypothesis: \mu_1= \mu_2

Alternative hypothesis:\mu_1 =\neq \mu_2

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

\sigma =\sigma_1 =\sigma_2

For this case the degrees of freedom are given by:

df= n_1 +n_2 -2

And replacing we got:

df= 20+20 -2= 38

And the best answer would be:

a. 38

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Answer:

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Step-by-step explanation:

1. Approach

In order to solve this problem, one will have to divide the figure up into simple shapes. A picture is attached showing how the shape is divided up for this answer. Find the area of each region, then add up the results to find the total area.

2. Area of Region 1

As one can see, the length of (Region 1), as given is (6), the width is (3). To find the area multiply the length by the width.

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3. Area of Region 2

In (Region 2), the length is given, (12). However, one must find the width, this would be the size of the total side, minus the width of (Region 1). Multiply the length by the side to find the area.

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