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:Where is the picture?
Step-by-step explanation:
Answer:
106 = arc AC
Step-by-step explanation:
Inscribed Angle = 1/2Intercepted Arc
53 = 1/2 arc AC
Multiply each side by 2
2*53 = arc AC
106 = arc AC
Answer:
<u>D. 3x² - x - 6</u>
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
- (f - g)(x) = 3x² - 4 - (x + 2)
- (f - g)(x) = <u>3x² - x - 6</u>
Answer:
0.0094.
Step-by-step explanation:
For the given experiment, let X be the lifetimes of parts manufactured from a certain aluminum alloy.
sample size =73
Sample mean = 784
Sample standard deviation = 120
Let µ represent the mean number of kilocycles to failure for parts of this type.
Null hypothesis, H0 : µ ≤ 750
Alternative hypothesis, H1 : µ > 750.
where,
is sample mean.
is population mean.
s is sample standard deviation.
n is the sample size.
It is a right tailed test because alternative hypothesis is µ > 750. So, P-value is the probability of observing a sample mean greater that 783 or the probability of P(z>2.35).
Therefore the P-value is 0.0094.