Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, hence:
At the alternative hypothesis, it is tested if they are different, hence:
<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
- .
<h3>What is the test statistic?</h3>
The test statistic is given by:
In which is the value tested at the null hypothesis.
Hence:
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
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<h2>Answer: </h2><h3> x=15 & y=52</h3>
Hope this might help you (•.•) :)
Answer:
Step-by-step explanation:
Domain:
Range:
The graph is continuous in the interval
Answer:
21. B
22. D
23. C
24. y = 3x - 12
Step-by-step explanation:
21. it has to be a positive slope since the graph shows it is increasing/positive slope. Has to be A or B. But it isn't A because where x = 1 1/2, y doesn't equal 0 like the graph shows.
22. It is D if you rewrite the equation starting with y=, so you subtract 2x on both sides to get y = -2x +6. Parallel means slopes are the same, so the slope has to be -2, which is D.
23. The only one that fits the description is C.
24.
in standard form, rearrange the equation so only y is on one side, the rest on the other.
-4x + 2y = 2x - 24
first add 4x on both sides so -4x cancels out on the left hand side.
-4x + 4x + 2y = 2x + 4x - 24
simplify it and get 2y = 6x - 24
divide both side by 2
y = 3x - 12
plot this as shown with arrows on lines.
please give thanks :)