6.5. Does Spending Measure Welfare? Suppose a community spends $1 million on salaries and equipment for its police department. B
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Answer:
We cannot determine the appropriate hypotheses to test this study because we are only given the data for the sample size and the population mean. Meanwhile, we need to know the data of the sample mean, the standard deviation and the level of significance before we can state the appropriate hypotheses for this test.
Step-by-step explanation:
Given that:
sample size n = 300
population mean μ = 35
The null hypothesis and the alternative hypothesis can be computed as follows:
Null hypothesis
Alternative hypothesis
The degree of freedom df = n -1
df = 300 - 1
df = 299
D; Both statements are correct
Here, we want to check the correct statement
Basically from the diagram, it is confirmed that what we have is a 30-60-90 triangle
Now, for a 30-60-90 degrees triangle, the side lengths are in a particular ratio
From the diagram, MO faces the right angle and thus, it is the longest side and the hypotenuse
Now, let us take a look at the ratio of the sides in both submissions
For a 30-60-90 degrees triangle, the ratio of the sides is;
Hence, one side must be twice the length of the other
From Kellie's statement we can see MO is twice NO
From Eddie's statement, we can also see that MO is twice NO
Lastly, we can also see in both that dividing MN by NO yields the root of 3 in both statemets which confirms the existence of the theoretical ratio
So the conclusion here is that;
Both students are correct