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!
We'll have to assume that interest is charged annually.
interest = i = p*r*t, where p is the initial amount ($25000), r is the annual interest rate as a decimal fraction, and t is the length of time, in years.
Then $2625 = $25000*0.035*t. Solve for t:
$2625
------------ = 0.035t = 0.105. Dividing both sides by 0.035, we get
$25000
t = 3 years (answer)
Answer:
below
Step-by-step explanation:
-3x² + 6x + 6 = 0
x = (-b±√(b²-4ac))/2a
x = (-6±√(36 - 4(-3)(6)))/2(-3)
x = (-6±√108)/-6
x = 1 ± √3
The negative solution is not reasonable for he threw it forwards
Answer:
16.5km
Step-by-step explanation:
Liola drives 17km up a hill that is at a grade of 14 degrees. What horizontal distance, to the nearest tenth of kilometer, has she covered?
We solve using Trigonometric function of Cosine
cos theta = Adjacent/Hypotenuse
Theta = 14°
Hypotenuse = Distance up the hill = 17km
Adjacent = Horizontal distance = x
Hence,
cos 14 = x/17
Cross Multiply
x = cos 14 × 17
x = 16.495027347km
Approximately = 16.5km
The horizontal distance = 16.5km
