Question

According to the Central Limit Theorem, The traditional sample size that separates a large sample size from a small sample size is one that is greater than

Answer #1

According to the central limit theorem, if a sample of size 81
is drawn from a population with a variance of 16, the standard
deviation of the distribution of the sample means would equal
_______.
.98
.44
.68
.87
.75

Question Central Limit Theorem
a)According to the Central Limit Theorem, what
are the mean and standard deviation of the sampling distribution of
sample means?
b)A population has a mean ?=1800 and a standard
deviation ?=40. Find the mean and standard deviation of the
sampling distribution of sample means when the sample size
n=100.

a) What is the Central Limit Theorem? It is always true
that as the sample size, n, increases, the distribution of the
sample means will be approximately normally distributed.
Explain
b) If the underlying population of study is not normally
distributed, how large should the sample size be? What if the
population is normally distributed ?

f repeated samples of yogurt sales were taken, according to the
Central Limit Theorem, the mean of those repeated samples would
tend to be normally distributed if the sample size is large
enough.
Because the sample population is ________, it is safe to
apply the Central Limit Theorem, even if the sample size for each
sample is 15.
a.)
positively distributed
b.)
uniformly distributed
c.)
negatively distributed
d.)
normally distributed

The Central Limit Theorem suggests that as the sample size
increases the distribution of the sample averages approaches a
normal distribution, regardless of the nature of the distribution
of the variable itself.
true or false

Which one of the following statements is
true?
A. The Central Limit Theorem states that the sampling
distribution of the sample mean, y , is approximately
Normal for large n only if the distribution of the population is
normal.
B. The Central Limit Theorem states that the sampling
distribution of the sample mean, y , is approximately
Normal for small n only if the distribution of the population is
normal.
C. The Central Limit Theorem states that the sampling
distribution...

1. The Central Limit Theorem tells us that as the sample size
increases, the center of the sampling distribution of x ̅
____________.
a. increases
b. decreases
c. stays the same
2. The Central Limit Theorem tells us that as the sample size
increase, the spread of the sampling distribution of x ̅
____________.
a. increases
b. decreases
c. stays the same
3. What is the best way we know to generate data that give a
fair and accurate picture...

True or False.
The central limit theorem states that as the number of sample
size increases, the distribution of the sample means approximates
to a normal distribution.

What is wrong with the following statement of the central limit
theorem?
Central Limit Theorem. If the random variables X1,
X2, X3, …, Xn are a random sample of size n from any distribution
with finite mean μ and variance σ2, then the distribution of will
be approximately normal, with a standard deviation of σ / √n.

According to the central limit theorem, a sample mean distribution
is aproximately a normal distribution , what are the mean and
standard deviation of this normal distribution ?

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