A long-distance telephone company claims that the mean duration of long-distance telephone calls originating in one town was gre
1 answer:
Answer:
(D) Conclusion: Do not support the claim that the mean is greater than 9.4 minutes
Step-by-step explanation:
Let X be the mean duration of long distance telephone class originating in one town.
(one tailed test)
The conclusion of the hypothesis test assuming that the results of the sampling don’t lead to rejection of the null hypothesis.
This means that there is no statistical evidence to support the alternate claim.
Hence option D is right.
(D) Conclusion: Do not support the claim that the mean is greater than 9.4 minutes
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First we are going to draw the triangle using the given coordinates.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula:
Distance from point A to point B:
![d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}](https://tex.z-dn.net/?f=d_%7BAB%7D%3D%20%5Csqrt%7B%5B6-%28-9%29%5D%5E2%2B%2810-5%29%5E2%7D%20)
Distance from point A to point C:
![d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}](https://tex.z-dn.net/?f=d_%7BAC%7D%3D%20%5Csqrt%7B%5B2-%28-9%29%5D%5E2%2B%28-10-5%29%5E2%7D)
Distance from point B from point C
Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
Finally, to find the area of our triangle, we are going to use Heron's formula:
We can conclude that the perimeter of our triangle is 140.13 square units.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula:
Distance from point A to point B:
Distance from point A to point C:
Distance from point B from point C
Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
Finally, to find the area of our triangle, we are going to use Heron's formula:
We can conclude that the perimeter of our triangle is 140.13 square units.