Question

**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.

Answer #1

**Note:** mean and standard deviation of the
sampling distribution of the sample mean are as follows,

Therefore, incorrect statement about sampling distribution is,

**A)** **A** **sample
distribution's mean will always equal the parent population
distribution's** **mean**

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.

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...

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....

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...

Which of the following about a normal distribution is true?
The sample mean equals the population mean if the sample and the
population are both normally distributed
The area under the curve to the right of mean is .50
It is a classical probability distribution where each outcome is
equally likely.
The smaller the standard deviation, the flatter the curve will
be

The spread or variation in the sampling distribution of means is
called the __________ of the mean.
Group of answer choices:
Standard error
Standard deviation
Standardization
Standard dispersion
----
The Central Limit Theorem tells us that : .
Group of answer choices
- If we keep taking samples from a population, and plot those
means on a curve, they will form a bell-shaped, or normal,
curve.
- Standard error is a measure of how much the sample means do
vary....

True or False:
___________ According to the Central Limit Theorem, the sampling
distribution of means approximates a normal distribution given
sample sizes greater than 30.
___________ According to the textbook, single sample t-tests are
used instead of single sample z-tests when the population standard
deviation (σ) is unknown.
___________ A set of events is said to be mutually exclusive
when it contains all possible outcomes.
___________ Two-tailed tests predict the direction of the
effect

the theoretical distribution of sampling means approximates the
normal curve of N is greater than or equal to 50 regardless of the
shape of the distribution on Y. this is referred to as the...

Which of the following statement about the sampling distribution
of proportion is true?
Select one:
a. Its mean equals to the population proportion.
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.

Which of the following statements is not consistent with
the Central Limit Theorem?
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
population mean.

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