First question: B. >2
Second question: B,C,or D (there is no difference between them)
Third question: C
Answer:
(s+2)-3
Step-by-step explanation:
Add s and 2.
(s+2)
The subtract 3
(s+2)-3
We can usually get a couple of facts for these that let us rule out answers without working out all the details.
The green and red areas are below a CUP parabola, opening up. CUP stands for concave up positive, and tells us there's a positive coefficient on x². Unfortunately all the choices have a positive 1 coefficient, no help here.
Since the areas are below they're going to be y ≤ x² + other stuff. That rules out B and C.
The red and blue parts are below the line, and the line has a positive slope. So that's y ≤ mx + b where m>0 is the positive slope. That rules out D with the negative slope.
Answer: A
Four and two hundred ninety-three thousandths
Answer:
b. Hannah is likely to be incorrect because 9 is not contained in the interval.
Step-by-step explanation:
Hello!
Hannah estimated per CI the difference between the average time that people spend outside in southern states and the average time people spend outside in northern states.
The CI is a method of estimation of population parameters that propose a range of possible values for them. The confidence level you use to construct the interval can be interpreted as, if you were to calculate 100 confidence interval, you'd expect that 99 of them will contain the true value of the parameter of interest.
In this example, the 99%CI resulted [0.4;8.0]hs
Meaning that with a 99% confidence level you'd expect the value of the difference between the average time people from southern states spend outside than the average time people from northern states spend outside is included in the interval [0.4;8.0]hs.
Now, she claims that people living in southern states spend 9 more hours outside than people living in northern states, symbolized μ₁ - μ₂ > 9
Keep in mind that if you were to test her claim, the resulting hypothesis test would be one-tailed
H₀: μ₁ - μ₂ ≤ 9
H₁: μ₁ - μ₂ > 9
And that the calculated Ci is tow-tailed, so it is not valid to use it to decide over the hypotheses pair. This said, considering that the calculated interval doesn't contain 9, it is most likely that Hannah's claim is incorrect.
I hope this helps!
