Answer:
a) (iii) ANOVA
b) The ANOVA test is more powerful than the t test when we want to compare group of means.
Step-by-step explanation:
Previous concepts
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have
groups and on each group from
we have
individuals on each group we can define the following formulas of variation:



And we have this property

Solution to the problem
Part a
(i) confidence interval
False since the confidence interval work just when we have just on parameter of interest, but for this case we have more than 1.
(ii) t-test
Can be a possibility but is not the best method since every time that we conduct a t-test we have a chance that we commit a Type I error.
(iii) ANOVA
This one is the best method when we want to compare more than 1 group of means.
(iv) Chi square
False for this case we don't want to analyze independence or goodness of fit, so this one is not the correct test.
Part b
The ANOVA test is more powerful than the t test when we want to compare group of means.
Answer:
<em>102°</em>
Step-by-step explanation:
(3x - 12)° + (2x + 2)° = 180°
5x - 10 = 180 ⇒ x = 38
m∠A = (3x - 12)°
<em>m∠A</em> = (3×38 - 12)° = <em>102°</em>
Answer:
One solution
Step-by-step explanation:
we have
---> equation A
---> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
there's only one point of intersection
so
The solution is the point (0,4)
see the attached figure
therefore
The system of equations has only one solution
Answer:
D) y greater than equal to -1
Step-by-step explanation:
As in the graph, the line passes through y = -1 and the shaded art is above the line so all the values greater than y = -1 match the graph.
Mathematically:
y ≥ -1
i hope it will help you!
Answer=True
When rounding 16.437 to the nearest tenth, we need to look to the hundreds place.
16.437
The number 3 is in the hundreds place
The rules of rounding are:
If the number is 5 or greater, then you round up.
If the number is 4 or less, Then you round down.
Since 3 is less than 4, we would round down. So...
16.437 becomes 16.4