Question

Sampling is the process of selecting a representative
subset of observations from a population to

determine characteristics (i.e. the population parameters) of the
random variable under study.

Probability sampling includes all selection methods where the
observations to be included in a

sample have been selected on a purely random basis from the
population. Briefly explain FIVE (5)

types of probability sampling.

Answer #1

Sampling is the process or technique of selecting a suitable
sample for the purpose of determining the parameters or
characteristics of the whole population. To carry out a study, one
might bear in mind what size the sample should be, and whether the
size is statistically justified and lastly, what method of sampling
is to be used. Analyze any TWO (2) differences
between stratified random sampling and cluster sampling.

The process of random sampling guarantees that the sample
selected will be representative of the population. Is this
statement true? Discuss.

Which situation most commonly leads to
convenience, availability, or accident
sampling?
When the researcher wants to maximize the likelihood that the
sample is representative of the population from which it is
selected.
When the researcher is knowledgeable about the study topic and
wants to make sure that the sample includes particular types of
members.
When the researcher is friendly with a few “informants” in the
hypothetical population who can help locate other members best
suited for the study, often those...

Suppose a random sample of n = 25 observations is
selected from a population that is normally distributed with mean
equal to 108 and standard deviation equal to 14.
(a) Give the mean and the standard deviation of the sampling
distribution of the sample mean
x.
mean
standard deviation
(b) Find the probability that
x
exceeds 113. (Round your answer to four decimal places.)
(c) Find the probability that the sample mean deviates from the
population mean ? = 108...

Suppose a random sample of n = 16 observations is selected from
a population that is normally distributed with mean equal to 102
and standard deviation equal to 10.
a) Give the mean and the standard deviation of the sampling
distribution of the sample mean x.
mean =
standard deviation =
b) Find the probability that x exceeds 106. (Round your
answer to four decimal places.)
c) Find the probability that the sample mean deviates from the
population mean μ...

A random sample of n = 100 observations is drawn from a
population with mean equal to 21 and standard deviation equal to
20, i.e. population mean is 21 and population standard deviation is
20. Complete parts a through d below.
a. What is the probability distribution of ?̅? i.e., Give the
mean and standard deviation of the sampling distribution of ?̅ and
state whether it is normally distributed or not.
b. Find P ( 18.7 < ?̅ < 23.3...

A random sample of n = 100 observations is drawn from a
population with mean equal to 21 and standard deviation equal to
20, i.e. population mean is 21 and population standard deviation is
20. Complete parts a through d below.
a. What is the probability distribution of ?̅? i.e., Give the
mean and standard deviation of the sampling distribution of ?̅ and
state whether it is normally distributed or not.
b. Find P ( 18.7 < ?̅ < 23.3...

QUESTION 1
It is best to use probability sampling when
a.
trying to understand the context of people’s actions.
b.
studying a small number of cases.
c.
the population is unknown or not readily identifiable.
d.
the research objective is to estimate population
characteristics.
10 points
QUESTION 2
Which of the following describes a sampling distribution?
a.
distribution of individual responses in a single sample
b.
distribution of individual responses in a population
c.
probability distribution of individual responses...

15. Random samples of size 81 are taken from an infinite
population whose mean and standard deviation are 200 and 18,
respectively. The distribution of the population is unknown. The
mean and the standard error of the mean are (assuming infinite
population)
a. 200 and 18
b. 81 and 18
c. 9 and 2
d. 200 and 2
16. A population has a mean of 300 and a standard deviation of
18. A sample of 144 observations will be taken....

PART 1:
Sampling
How we select our sample will directly influence the
external validity of the study. If a sample is
representative, then our external validity
is stronger. If a sample is non-representative, then our external
validity is weaker.
QUESTIONS:
1.
You are interested in looking at the relationship between
student-to-teacher ratio and GPA at California 2- and 4-year
colleges. You suspect that average GPA is higher at 2-year colleges
where student-to-teacher ratio is low, relative to 4-year colleges
colleges...

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