The estimated standard error for the sample mean difference is 2.5 .
According to the question
A repeated-measures study comparing two treatments
n = 4
MD(mean difference) = 2
SS (sum of square) = 75
Now,
error for the sample
Formula for standard error
by substituting the value
S² = 25
S = 5 (s is never negative)
Standard error of the estimate for the sample mean difference
As
The standard error of the estimate is the estimation of the accuracy of any predictions.
The formula for standard error of the mean difference
standard error of the mean difference =
standard error of the mean difference = 
standard error of the mean difference = 2.5
Hence, the estimated standard error for the sample mean difference is 2.5 .
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Answers:
x = 72
y = 83
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Explanation:
Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.
Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.
Pentagon EFGHD has the following five interior angles
- E = x
- F = 130
- G = 170
- H = 65
- D = 103
Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.
For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.
This means,
E+F+G+H+D = 540
x+130+170+65+103 = 540
x+468 = 540
x = 72
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Now focus your attention on triangle THS
We see that the interior angles are
The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.
For any triangle, the angles always add to 180
T+H+S = 180
y+65+32 = 180
y+97 = 180
y = 180-97
y = 83
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Answer:
x = 1.5
Step-by-step explanation:
using the sine ratio in the right triangle and the exact value
sin60° = 
, then
sin60° = 
= 
= ( cross- multiply )
2x = 3 ( divide both sides by 2 )
x = 1.5
