Question

Indicate whether the following statement is true or false.

The sampling distribution of the sample mean (x-bar) will at least approximately be normally distributed either if X is normally distributed or if the sample size (n) is larger than 30.

Answer #2

Solution:

Given sentence is

**TRUE**

Explanation :

Let X be a r.v.

If we take repeated samples form this population , then we obtain various values of sample means.This is sampling distribution of .

If X follows normal distribution , then the sampling distribution of is approximately normal(whatever the sample size)

If distribution of X is not normal, and sample size n > 30 then also the sampling distribution of is approximately normal.

So , answer is

True

answered by: anonymous

Indicate whether the following statement is true or false. The
sampling distribution of the sample mean (top enclose X) will at
least approximately be normally distributed either if X is normally
distributed or if the sample size (n) is larger than 30.

True or False?
The sampling distribution of the sample mean of a non-normally
distributed population will also be normally distributed as long as
the sample size is greater than 10.
The sampling distribution of the sample mean of a normally
distributed population will not be normally distributed if sample
size is less than 30.

Which of the following is NOT true regarding the sampling
distribution of the mean (Sample mean X-bar) for a large sample
size (sample size is greater than 36)? A. It has the same mean as
the population. B. It has a smaller standard deviation than the
population standard deviation. C. Approximately it follows a normal
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Which of the following statement about the sampling distribution
of proportion is true?
Select one:
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b. Its standard error equals to the population standard
deviation.
c. It is approximately normally distributed if n ≥ 30.
d. It is approximately normally distributed if the population is
normally distributed.

In each case, determine if the distribution of the sample mean
(x-bar) is NORMALLY DISTRIBUTED, AT LEAST APPROXIMATELY NORMALLY
DISTRIBUTED, or CANNOT BE DETERMINED.
The population is known to be normally distributed, the sample
size is n = 56. a) can not be determined b) at least approximately
distributed c)normally distributed.
The population distribution is not known, sample size is n =
100. a) can not be determined b) at least approximately distributed
c)normally distributed.
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In hypothesis testing, the p-value should always be larger than
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True
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Indicate whether the following statement is true or false.
1. When estimating a confidence interval for the difference
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Indicate whether the
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In hypothesis testing,
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