Answer:
<u>System of equations</u>
--- solution
See attachment for graph
Step-by-step explanation:
Solving (a): Linear equations with 1 solution
The only condition to this is that, the system must have 1 solution.
Other than that, there is no other condition.
A linear equation is represented as:
For the equation to have 1 solution;
And example of such equation is:
Solving (b): The graph
See attachment for graph
The solution is the point of intersection of both lines of the graph. So, we have:
Answer:
Alternative hypothesis: "AT LEAST ONE" of the population means is different from the others
Step-by-step explanation:
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 n groups and we want to check if the population means are equal, th best way to check this it's with an ANOVA test.
The hypothesis for this case are:
Null hypothesis:
Or in words:
Null hypothesis: All treatments/samples come from populations with the same mean
Alternative hypothesis: Not all the means are equal
Or we can say:
Alternative hypothesis: "AT LEAST ONE" of the population means is different from the others