Answer:
Step-by-step explanation:
Given that :
population Mean = 15000
standard deviation= 1200
sample size n = 100
sample mean = 16000
The null and the alternative hypothesis can be computed as follows:

Using the standard normal z statistics




z = 8.333
degree of freedom = n - 1 = 100 - 1 = 99
level of significance ∝ = 0.05
P - value from the z score = 0.00003
Decision Rule: since the p value is lesser than the level of significance, we reject the null hypothesis
Conclusion: There is sufficient evidence that the Dean claim for his graduate students earn more than average salary of $15,000
Answer:
see below
Step-by-step explanation:
The graph has two parts. There is one line for x < 2. It has a slope of 1 and a y-intercept of 0.
The line for x > 2 is the horizontal line x=2.
The point at x=2 is not defined by the function you have posted here, so there is a "hole" in the graph at that point.
Answer:
Horizontal translation in the
direction.
Step-by-step explanation:
A function of the form
experiments an horizontal translation when the following substitution is applied:
, where 
If
, the function is translated in the
direction, whereas
is the case for the function being translated in the
direction.
The effect on the graph can be defined by a composition between two function:
, 

The resulting expression represents a horizontal translation in the
direction.
Finally, we plot
(red) and
(blue) by a graphing tool and proved the certainty of this theory.
I hope this helps!
Can I please have brainiest?