Answer:
Step-by-step explanation:
Transformed of the function has been given as,
f(x) =
=
Parent function of this transformed function =
Vertical stretch = By a factor of
Horizontal shift = 3 units to the left
Vertical shift = 3 units up
Now we can summarize these transformations as,
1). Parent function g(x) = has been vertically stretched by a factor of
2). Followed by the translations of 3 units left and 3 units up.
Answer:
(x+7) is not a factor
Step-by-step explanation:
we know that
If (x+7) is a factor of f(x)
then
For
Verify
we have
Substitute x=-7
therefore
(x+7) is not a factor
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Answer:
a. A) Yes; as sample size increases, effect size increases.
b. A) The critical value increases.
Step-by-step explanation:
a.
If all possible samples of size N are drawn from a finite population, Np, without replacement, and the standard deviation of the mean values of the sampling distribution of means is determined then:
σx =d √N
d = σx . √N
d ∞ N
from this, we can say d is directly proportional to √N
where σx is the standard deviation of the sampling distribution of means and d is the standard deviation of the population’. The standard deviation of a sampling distribution of mean values is called the standard error of the means,
therefore, we can conclude that:
A) Yes; as sample size increases, effect size increases.
b.
In this estimate, tc is called the confidence coefficient for small samples, d is the standard deviation of the sample, x is the mean value of the sample and N is the number of members in the sample.
When determining the t-value, given by
t =(
(x−µ) /s) *
it is necessary to know the sample parameters x and s and the population parameter µ. x and s can be calculated for the sample, but usually an estimate has to be made of the population mean µ, based on the sample mean value.
from the above equation it can be deduced that t value is determined with the sample size, and as the sample size increases
A) The critical value increases.