Question

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 distribution. D. It has the same distribution as the population.

Answer #1

Solution :

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) is,

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D. It has the same distribution as the population.

Which of the following is true regarding the sampling
distribution of the mean for a large sample size?
Select one:
a. It has the same shape, mean, and standard deviation as the
population.
b. It has the same shape and mean as the population, but has a
smaller standard deviation.
c. It has a normal distribution with the same mean as the
population but with a smaller standard deviation.
d. It has a normal distribution with the same mean and...

Question 2: Which of the following statements about the
sampling distribution of means is not true?
A. A sample distribution's mean will always equal the parent
population distribution's mean
B. The sampling distribution of means approximates the normal
curve.
C. The mean of a sampling distribution of means is equal to the
population mean.
D. The standard deviation of a sampling distribution of means is
smaller than the standard deviation of the population.

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.

Which of the following statements are TRUE?
Note that there may be more than one correct answer; select all
that are true.
1. a) All else being equal, the standard deviation of the
sampling distribution of the sample mean will be smaller for n = 10
than for n = 40.
b) The value of a statistic does not vary from sample to
sample.
c) Statistics have sampling distributions.
d) The value of a parameter does not vary from sample...

The distribution of the commute times for the employees at a
large company has mean 22.4 minutes and standard deviation 6.8
minutes. A random sample of n employees will be selected and their
commute times will be recorded. What is true about the sampling
distribution of the sample mean as n increases from 2 to 10 ? The
mean increases, and the variance increases. A The mean increases,
and the variance decreases.
B The mean does not change, and the...

True or false:
1. When constructing a confidence interval for a sample
Mean, the t distribution is appropriate whenever the sample size is
small.
2. The sampling distribution of X (X-bar) is not always
a normal distribution.
3. The reason sample variance has a divisor of n-1
rather than n is that it makes the sample standard deviation an
unbiased estimate of the population standard
deviation.
4. The error term is the difference between the actual
value of the dependent...

a. What is the standard error of a sampling
distribution? (out of the following)
the mean, the probability, the bias, the standard deviation, or
the variance
b. What is the standard deviation of a sampling
distribution called? (out of the following)
the spread, the variance, the standard error, the mean, the
standard variance
c. List two unbiased estimators and their
corresponding parameters. (Select all that apply out of the
following.)
μ is an unbiased estimator for x-bar, p is an...

5-1. Consider a random sample of size 36 from a normal
distribution (population) with a mean of 10 and a standard
deviation of 6. Which of the following statement is false?
(a) The mean of X¯ is 10. (b) The standard deviation of X¯ is 1.
(c) X¯ approximately follows a normal distribution. (d) There is an
incorrect statement in the alternatives above.
5-2. Let X1, . . . , X36 be a random sample from Bin(36, 0.5).
Which of...

Which of the following statements is not true for sampling
distributions?
a. A sampling distribution is necessary for making confidence
statements about an unknown population parameter.
b. A sampling distribution depends on the nature of the
population being sampled.
c. When sampling at random from a normal population, the
sampling distribution for the sample average is a normal
distribution.
d. None of the above.
AND
TRUE or FALSE
Assume a random sample of size n is from a normal population....

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.

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