Answer:
x = 10, y = 12
Step-by-step explanation:
There is a 2:1 ratio between 16 and 8, alternate side lengths.
2x = 20
x = 10
2(6) = y
y = 12
Part A:
Significant level:
<span>α = 0.05
Null and alternative hypothesis:
</span><span>h0 : μ = 3 vs h1: μ ≠ 3
Test statistics:
P-value:
P(-0.9467) = 0.1719
Since the test is a two-tailed test, p-value = 2(0.1719) = 0.3438
Conclusion:
Since the p-value is greater than the significant level, we fail to reject the null hypothesis and conclude that there is no sufficient evidence that the true mean is different from 3.
Part B:
The power of the test is given by:
Therefore, the power of the test if </span><span>μ = 3.25 is 0.8105.
Part C:
</span>The <span>sample size that would be required to detect a true mean of 3.75 if we wanted the power to be at least 0.9 is obtained as follows:
Therefore, the </span>s<span>ample size that would be required to detect a true mean of 3.75 if we wanted the power to be at least 0.9 is 16.</span>
A quadrilateral is said to be a parallelogram
1.Opposite sides are equal and parallel.
2. Diagonal bisect each other.
3. Opposite angles are equal.
It is given that , a Parrallelogram is graphed on a coordinate plane so the two points are in the first quadrant and two points are in the third quadrant.
Suppose ABCD is a Parallelogram.Then AB=CD and AD=BC.
Given, Vertices A,B lies in first Quadrant and Vertices C and D lies in Third Quadrant.Then Vertices of Parallelogram ABCD are
A=( x, y) and B=( y, x)
Then, C= (- x,- y) and D= (- y,- x), Arranged in Alphabetical order, that is A,B and C and D.
Answer:
The answer is A
Step-by-step explanation:
When multiplying integers, negative times negative results in positive