Answer:
We conclude that the Pennsylvania school district have an IQ higher than the average of 101.5
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 101.5
Sample mean, 
= 106.4
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 15
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 reject the null hypothesis and accept the alternate hypothesis.
Thus, we conclude that the Pennsylvania school district have an IQ higher than the average of 101.5
Answer:
0.00258064516
Step-by-step explanation:
Let the number of chairs Gavin build per week is x and number of tables he builds per week is y.
It takes 4 hours to work on a chair and 10 hours to work on a table. So time taken to work on x chairs and y tables will be:
Gavin wants to work for no more than 40 hours. So we can write the inequality as:
It takes $10 worth of supplies to build a chair and $15 worth of supplies to build a table. So cost or worth of supplies for x chairs and y tables will be:
Gavin wants to spend no more than $80 on material. So we can write the inequality as:
Thus the system of inequalities is:
We can observe the possible combinations from the graph of these inequalities, which is shown below:
a) 0 chair and 3 tables
b) 5 chairs and 2 tables
c) 8 chairs and 2 tables
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the answer here
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