In: Statistics and Probability
2. Identify the type of sampling used: self-response, random, systematic, convenience,
stratified, or cluster.
a. DTE survey 20 households in every city in
the County to learn about the costumer
satisfying level.
b. A sample consists of students with even
number Student’s ID.
c. A market researcher selects 100 people
from each state in the USA.
d. A pollster uses a computer to generate 500
random numbers, then interviews the voters
corresponding to those numbers.
e. To check the alcohol level of drivers,
police officers stopped every seventh car
passing through a side street near a
famous bar.
f. A University committee wants to know the
percentage of students who drive and text.
They survey all students majoring in History
and English.
g. A restaurant decided to give free
dessert for every 50th costumer dining
there.
h. A reporter writes the name of each US
senator on a separate card, shuffles the
cards, and then draws five names.
i. There are 4 bags of M&M in a box. One
consists of blue M&M, another bag has
red only M&M, the other two consists of
chocolate and yellow M&M respectively.
Lisa takes out 5 M&M from each bag to
create a sample of M&M.
j. A researcher conducts a survey by asking
100 randomly selected workers from each
category: no high school degree, high school
degree, more than high school degree.
k. A researcher wants to determine the
percentage of first grader still believe in
Santa Claus. He uses the first graders in
his son’s school as his sample.
l. A polling on Twitter asks its follower to rank
the work ethic of the congress from 1 to 5,
with 1 as the lowest and 5 as the highest
a) stratified sampling as the entire country population is divided into cities and a specific sample of 20 is used from each stratum,i.e, cities
b)cluster sampling as the entire data can be divided into odd and even clusters and only the even cluster is chosen and all the data in the even cluster is used
c)stratified sampling as the entire population is divided into cites and 100 each is taken from each stratum,i.e, cities
d)random sampling as the sample is chosen randomly from the random number generating application where each data is selected for the sample randomly
e)systematic sampling as every 7th car is checked, which is the main point of systematic sampling where every individual selected at regular intervals.
f)cluster sampling as the entire university is divided into subjects student majoring in and two subjects history and English is chosen and all the students under them are sampled
g)systematic sampling as customers are selected at regular intervals of 50
h)random sampling as every card has a specific name and then 5 of them are chosen randomly
i)stratified sampling as the whole population is divided into 4 groups and a sample of 5 is chosen from each group
j)stratified sampling as 100 random samples are chosen from 3 categories the entire population is divided into
k)convenience sampling as the sample is chosen from a readily available convenient population which is his son's school which is rather close to hand
l)convenience sampling as the sample is chosen from the population of his followers who are readily available at his hand and the nearest possible sample or rather convenient