Answer:
Let X represent Nick's age and Y represent Sara's age.
Then, it is given that: Nick is four years older than Sara.
We write the statement as:
or
The only ordered pairs (X,Y) which satisfy the equation are: (0,-4) and (4,0) as you can see in the graph also.
In the graph X axis represents the age of Nick's age and Y-axis represent the age of Sara's age and the line Y=X-4 represents the relationship between the age of both.
Answer:
There is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 35,000 dollars per year
Sample mean, = 34,700 dollars per year
Sample size, n = 100
Alpha, α = 0.10
Population standard deviation, σ = 3,500 dollars per year
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to reject the null hypothesis and accept the null hypothesis.
Thus, there is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.