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ale4655 [162]
3 years ago
11

A two-factor research study has 2 levels of factor A and three 3 of factor B with n = 8 participants in each treatment condition

. For this study, what is the value for dfbetween treatments? a.​5b.​4c.​3d.​6
Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

Answer:

a.​5

Step-by-step explanation:

The computation of the value for df^{between treatments} is shown below:

According to the question, the data provided is as follows

Two levels of factor A

And, there are three of factor B

So, the total number of treatment conditions is

= 2 × 3

= 6

Now the value for df^{between treatments} is

= 6  - 1

= 5

Hence, the correct option is a.5

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If 3x+2y=12 and -4x+6y=24 what is the value of -x+2y
oksano4ka [1.4K]
(1) 3x+2y=12
(2) -4x+6y=24

Solving the system of equations using the method of substitution:
Isolating y in the first equation:
(1) 3x+2y=12→3x+2y-3x=12-3x→2y=12-3x→2y/2=(12-3x)/2→y=(12-3x)/2

Replacing "y" by (12-3x)/2 in the second equation:
(2) -4x+6y=24
y=(12-3x)/2→-4x+6[(12-3x)/2]=24

Solving for x:
-4x+3(12-3x)=24
-4x+36-9x=24
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-13x+36-36=24-36
-13x=-12
-13x/(-13)=-12/(-13)
x=12/13

Replacing "x" by 12/13 in y=(12-3x)/2
x=12/13→y=[12-3(12/13)]/2
y=(12-36/13)/2
y={[(13)(12)-36]/13}/2
y=[(156-36)/13]/2
y=(120/13)/2
y=(120/13)(1/2)
y=60/13

x=12/13; y=60/13
-x+2y=-12/13+2(60/13)
-x+2y=-12/13+120/13
-x+2y=(-12+120)/13
-x+2y=108/13

Answer: The value of -x+2y is 108/13 
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