1. T or F If a population is normally
distributed, the sampling distribution of sample means will
also always be normally distributed
2. If a population is not normally distributed
when will the sampling distribution of sample means
be guaranteed to have a normal distribution?
3. T or F For a given population and a given
sample size there is only one sampling distribution of
sample mean that will be generated. .
4. The following 2 terms are NOT exactly...
5) Explain the differences between the population
distribution, the distribution of a sample, and a sampling
distribution. Describe each of these in a single context of your
choosing.
What are examples of:
1. Sampling Error.
2. Sampling Distribution of Sample Means
3. Central Limit Theorem.
4. Standard Error of the Mean. The standard error of the
estimate of the mean is represented by the equation: σ√n Discuss
what this equation means, using your own words and explain why we
use it. Consider how it relates to the fact that we are making
assumptions about the population and not just the sample.
How do you calculate the mean and standard deviation of the
sampling distribution for sample means? [2 sentences]
What is the effect of increasing sample size on the sampling
distribution and what does this mean in terms of the central limit
theorem? [2 sentences]
Why is the standard deviation of the sampling distribution
smaller than the standard deviation of the population from which it
came? [3 sentences]
Explain in detail how a sampling distribution of means is used
in constructing the rejection regions for one-tailed and two-tailed
research hypotheses.
1. What is a Sampling Distribution?
2. How is a Sampling Distribution created?
3. Explain the Central Limit Theorem in terms of having a normal
Sampling Distribution.
4. Why is having a normal Sampling Distribution important?
5. How do we calculate the mean for a Sampling Distribution?
6. How do we calculate the standard deviation for a Sampling
Distribution?
7. How is the mean and standard deviation for a Sampling
Distribution affected as the sample size increases?
8. How do...
Explain how a sampling distribution is created. What
does the mean (center) of the sampling distribution tell us? What
is the standard deviation of the sampling distribution called and
what does it tell us?
Explain the central limit theorem. Why is it important
for a sampling distribution of sample means and sample proportions
to be normal? What requirement ensures that a sampling distribution
for sample means is normal? What requirement ensures that a
sampling distribution for sample proportion is
normal?...
Decide if the statement is True or False. A sampling
distribution of sample means has a mean equal to the population
mean, μ, divided by the sample size.