One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table.
x −2 −1 1 2 y −4 −3 2 4 x −2 −1 1 2 y −4 −2 3 4 x −2 −1 1 2 y −4 −2 2 4 x −2 −1 1 2 y −4 −2 2 6
2 answers:
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Answer:
From the central limit theorem we know that the distribution for the sample mean is given by:
The mean is given by:
And the deviation is given by:
Step-by-step explanation:
For this case we define the random variable X as "number of years of education of self-employed individuals in the U.S." and we know the following properties:
And we select a sample of n = 100
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
From the central limit theorem we know that the distribution for the sample mean is given by:
Solution to the problem
From the central limit theorem we know that the distribution for the sample mean is given by:
The mean is given by:
And the deviation is given by:
From the slope of the line, we see that 43 is a very steep slope, so the line is a near vertical line.
Also, from the point-slope form of the graph, we know that the line passes through (5,5) .
Note: (y-y1)=m(x-x1) passes through (x1,y1).
So the result is the line shown in the attached diagram, with no surprises.
Also, from the point-slope form of the graph, we know that the line passes through (5,5) .
Note: (y-y1)=m(x-x1) passes through (x1,y1).
So the result is the line shown in the attached diagram, with no surprises.