Question

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

Answer #1

Solution :

Given that ,

2 = 16

standard deviation = = 4

n = 81

sampling distribution of standard deviation

= / n = 4 / 81

= 0.44

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
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n=100.

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when the sample size n≥30. A random sample of size
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Describe the probability distribution of the sample mean and
draw the graph of this probability distribution with its mean and
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What is the probability that x<101.5?
What is the probability that x>102?
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The Central Limit Theorem says that when sample size n is taken
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The distribution of the sample mean is approximately
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The standard deviation is equal to that of the population.
The distribution of the population is exactly Normal.
The distribution is biased.

Which of the following statements is not consistent with
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1. The Central Limit Theorem applies to non-normal population
distributions.
2. The standard deviation of the sampling distribution will be
equal to the population standard deviation.
3. The sampling distribution will be approximately normal when
the sample size is sufficiently large.
4. The mean of the sampling distribution will be equal to the
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What is wrong with the following statement of the central limit
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Central Limit Theorem. If the random variables X1,
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with finite mean μ and variance σ2, then the distribution of will
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According to the Central Limit Theorem, The traditional sample
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According to the central limit theorem, a sample mean distribution
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(05.02 LC)
The Central Limit Theorem says that when sample size n is taken
from any population with mean μ and standard deviation σ when n is
large, which of the following statements are true? (4 points)
I. The distribution of the sample mean is exactly Normal.
II. The distribution of the sample mean is approximately
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III. The standard deviation is equal to that of the
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IV. The distribution of the population is exactly Normal.
a
I and...

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