Answer:
The hippocampus volumes in the alcoholic adolescents are less than the normal volume of 9.02 cm³
Step-by-step explanation:
Let x= the hippocampus volumes in the alcoholic adolescents
We'll conduct a hypothesis test at the 0.01 significance level with
Null hypothesis: x = 9.02 cm³
Alternate hypothesis: x < 9.02 cm³
A sample of 13 alcoholic adolescents gives the parameters
size=N= 13
mean=M= 8.12 cm³
standard deviation= s= 0.8 cm³
According to the sample, with 99% confidence, t statistic for the value X=9.02 can be found using the formula:
t=
where
- M is the sample mean (8.12)
- s is the standard deviation of the sample (0.8)
- N is the sample size (13)
If we put these numbers in the formula:
t=
=4.056
One tailed critical value for the sample with 12 degrees of freedom (sample size-1) in 99% confidence level is 2.681.
Since t value (4.056) is bigger than the critical value, we fail to reject the alternate hypothesis, therefore reject the null hypothesis and accept alternate hypothesis.
Answer:
V= 100°
X=50°
Y=40°
Z=40°
Step-by-step explanation:
All angles in a triangle add up to 180°, and you know that the corners are 90° because it is a rectangle.
Answer:
1/4 miles.
Step-by-step explanation:
If I want to walk from my house to a clothing store 3/4 of a mile away, this implies that the location is 0.75 miles from my home.
Now, if after walking 1/2 mile I decide to stop, I will have traveled 0.5 miles in total. In this way, when I get back on my way, I will have to travel 0.25 miles to reach my destination (0.75 - 0.50).
Therefore, since 1 divided by 4 equals 0.25, I have to walk 1/4 mile to reach my destination.
Answer:
1/2
Step-by-step explanation:
-2y= 8-X
y= -4+X/2
y= X/2-4
recall that: y= mx+c
in the equation y= x/2+C
m=1/2
where m is your slope
Answer: B
Step-by-step explanation:
![(4^{-5})^3=4^{-15}=\frac{1}{4^{15}}](https://tex.z-dn.net/?f=%284%5E%7B-5%7D%29%5E3%3D4%5E%7B-15%7D%3D%5Cfrac%7B1%7D%7B4%5E%7B15%7D%7D)