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Using the z-distribution, it is found that the 95% confidence interval for the difference is (-1.3, -0.7).
<h3>What are the mean and the standard error for each sample?</h3>Considering the data given:
The mean is the subtraction of the means, hence:
The standard error is the square root of the sum of the variances of each sample, hence:
It is given by:
We have a 95% confidence interval, hence the critical value is of z = 1.96.
Then, the bounds of the interval are given as follows:
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula to find the slope. Substitute the x and y values of the given points into the formula and solve:
So, the slope is .
2) Use the point-slope formula to write the equation of the line in point-slope form. Substitute values for
,
, and
into the formula.
Since represents the slope, substitute
in its place. Since
and
represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.