Answer:
d. 2250.
Step-by-step explanation:
The calculation of mean square due to error (MSE) is shown below:-
Since there are four treatments i.e H0: μ1 = μ2 = μ3 = μ4
And, the SSTR is 6,750
Based on this, the mean square due to error is
= 

= 
= 2,250
Hence, the mean square due to error is 2,250
Therefore the correct option is d.
All the other information is not relevant. Hence ignored it
Mrs. Santos is 29, 44-15=29
Commutative property of addition is when 3+9=12 and 9+3=12.
Answer:

Step-by-step explanation:
The given system is:


Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.
This gives me the system:


We could solve the first equation for
and replace the second
with that.
Let's do that.

Subtract
on both sides:

So we are replacing the second
in the second equation with
which gives us:





Now recall the first equation we arranged so that
was the subject. I'm referring to
.
We can now find
given that
using the equation
.
Let's do that.
with
:



So the solution is (8,-1).
We can check this point by plugging it into both equations.
If both equations render true for that point, then we have verify the solution.
Let's try it.
with
:


is a true equation so the "solution" looks promising still.
with
:


is also true so the solution has been verified since both equations render true for that point.
Answer:
b. 2-independent sample t-test
Correct for this case is the best test since the result from each group are independent and we can compare the sample means between th two groups
Step-by-step explanation:
For this case the intention is try to test if scores on a test of science achievement differ for female and male 8th grade students. let's analyze the possible options for this case:
a. 2-dependent sample t-test
False is not possible since the nature of the gender is not possible to conclude tha the results from boys and girls are dependent
b. 2-independent sample t-test
Correct for this case is the best test since the result from each group are independent and we can compare the sample means between the two groups
c. Correlation
False we can't compare the means of interest with a correlation coefficient since that's not the purpose of the study
d. 2-way ANOVA
False we have just one variable between two groups so is not possible to apply a 2 way ANOVA