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Considering the situation described, the scientist's null and alternative hypothesis are described by:
Null hypothesis
; Alternative hypothesis
.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by
is of 0, hence:

At the alternative hypothesis, it is tested if there is a difference, hence:

More can be learned about an hypothesis test at brainly.com/question/26454209
Solve simultaneously.
4x - y = 8
6x + y = 2
Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
~
24x - 6y = 48
24x - 4y = 8
Subtract top from bottom to form one equation.
~
-2y = 40
Therefore y is 20.
Put y back in to an equation, such as 4x - y = 8.
~
4x - 20 = 8
4x = 28
x = 7
Answer:
Correlation.
Step-by-step explanation:
When relationship between two or more variables are to be established such that the measure of the effect of one variable (independent variable) on the other variable (dependent variable) is evaluated , this is called correlation study or analysis. In the scenario above, the relationship between productivity or revenue and employee shift is correlated, that is a relationship was established between the revenue made and the shift days of a particular employee, which yielded a positive association between the two variables. The employee shift is the independent variable and the revenue made is the dependent variable.