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sampling theory
sampling theory
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1
example of statistic is
μ
σ
^{^{σ^2}}
\overline{\times}
2
What does the term "parameter" refer to in statistics?
A numerical summary of the data.
A numerical characteristic of a sample.
A numerical characteristic of a population.
The process of estimating population characteristics.
3
sample mean is an unbiased estimator of population mean
E\left(\overline{Y}\right)=Y
E\left(s^2\right)=σ
E\left(\overline{y}\right)=\overline{y}
E\left(\overline{y}\right)=\overline{Y}
4
In SRS with replacement, if a unit is selected:
It can be selected again in subsequent draws
It is ignored in the final analysis
It is removed from the population
It is recorded and excluded from future selections
5
which of the following is the type of probabilistic sampling
snowball sampling
Stratified Sampling:
judgmental sampling
convenience sampling
6
read and answer
Sampling
complete enumeration
Stratified sampling
Survey
7
read and answer
Stratified sampling
simple random sampling
Cluster sampling
Systematic sampling
8
A population with an unlimited number of units or one that is sufficiently large
sampling frame
infinite population
parameter
finite population
9
the units, once chosen, are not placed back in the population
SRSWR
SRSWOR
SRS
STRATIFIED SAMPLING
10
Variance of sample mean for SRSWR is given by
V\left(\overline{y_{WOR}}\right)=\frac{N-1}{Nn}S^2
V\left(\overline{y_{WR}}\right)=\frac{N-1}{Nn}S^2
V\left(\overline{y_{WOR}}\right)=\frac{N-n}{Nn}S^2
V\left(\overline{y_{WR}}\right)=\frac{N-n}{Nn}S^2
11
The entire group of individuals or instances about whom we hope to learn.
survey
census
Population
sample
12
sample variance is an unbiased estimator of --------------in SRSWOR
S^2
s^2
σ^2
x^2
13
the process of choosing the right number of observations or people from a larger group to use in a sample.
population size determination
population mean determination
sample size determination
sample variance determination
14
The average of all sample means.
sample variance
population variance
sample means
population mean
15
Aboy want to study behavior of all high school student incity he randomly select 20 student from10 schools,population is
All high school students in the city
The 10 schools selected
The behavior of the students
The 20 students selected
16
Sample 1(1,3), Sample 2 (3,5), Sample 3 (1,5), then the estimated population mean will be
3
5
4
2
17
In the context of sampling, what is a sampling frame?
The process of selecting units from a population
complete list of all units in population from which a sample can be drawn
The physical structure that holds the sample
A frame used to display the sampling results
18
Simple Random Sampling (SRS) ensures that each unit of the population:
Has an equal probability of being selected
Is chosen based on stratification
Is chosen based on convenience
Is chosen with replacement only
19
If n units are selected by SRSWOR then the probability of choosing one sample from the total possible samples would be
\frac{1}{N_{C_n}}
\frac{1}{^{N^n}}
_{N^n}
^{N_{C_n}}
20
read and answer What type of sampling is the researcher using?
Simple random sampling without replacement
Systematic sampling
Stratified sampling
Simple random sampling with replacement
21
Purposive Sampling
Selecting individuals based on specific criteria set by the researcher.
Every member is equally likely to be selected
Participants refer other participants
Selecting individuals who are easiest to reach
22
Complete enumeration is preferred when:
The population is large
The population is homogeneous
There is a lack of resources
Accurate information is required for every unit of the population
23
What does following formula represent
population mean
population variance
sample variance
population mean square
