Using the z-distribution, the p-value would be of:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:
![H_0: \mu_D - \mu_C = 0](https://tex.z-dn.net/?f=H_0%3A%20%5Cmu_D%20-%20%5Cmu_C%20%3D%200)
At the alternative hypothesis, we test if they are different, hence:
![H_1: \mu_D - \mu_C \neq 0](https://tex.z-dn.net/?f=H_1%3A%20%5Cmu_D%20-%20%5Cmu_C%20%5Cneq%200)
<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
.
.
For the distribution of differences, it is given by:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:
![z = \frac{\overline{x} - \mu}{s}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5Coverline%7Bx%7D%20-%20%5Cmu%7D%7Bs%7D)
In which
is the value tested at the null hypothesis.
Hence:
![z = \frac{\overline{x} - \mu}{s}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5Coverline%7Bx%7D%20-%20%5Cmu%7D%7Bs%7D)
z = -2/0.76
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
More can be learned about the z-distribution at brainly.com/question/16313918
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We can find the interior angle (A) that is associated with the angle of depression using the tangent
tan(A) = 970%2F184
A = 79.3 degrees
therefore
90-79.3 = 10.7 degrees is the angle of depression
Answer: yes this is a function
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The reason why is because we don't have any repeated x values. Each input (x) leads to exactly one output (y). If you plotted all the points, then you would not be able to pass a single vertical line through more than one point. So this graph passes the vertical line test.
120*3=360. That's the answer.