Sampling Design Process Worksheet
Sampling Design Process Worksheet
In this worksheet, we will practice sampling using different sampling methods such as simple random, systematic, and stratified sampling.
Q1:
For a school project, three students need to produce a sample of students at their school. Which of the following methods leads to a random sample?
ANumbering all the students and produce the sample from a random list of numbers
BCalling for volunteers at the school assembly
CCalling for volunteers via social media
DAsking each of their friends to name three further friends
EWriting the names of all students they know in a list
Q2:
Three different toys are stored in a warehouse. There are 15,000 toys in total and the number of each is shown in the table.
Kind of ToysBearsDollsCarsNumber of Toys2,0006,0007,000
A stratified sample of all the toys is taken and 420 cars are selected. Calculate the total number of toys in the sample.
Q3:
A survey is done to find out the favorite movies of 500 school students. The students are categorized into males and females, and a sample of 50 students is chosen.
Which type of random sample is used for selecting a sample?
ASimple sampling
BStratified sampling
If the number of female students is 300, what is the sample size of each stratum?
AMale sample: 25 and female sample: 25
BMale sample: 30 and female sample: 20
CMale sample: 40 and female sample: 10
DMale sample: 10 and female sample: 40
EMale sample: 20 and female sample: 30
Q4:
An elementary school principal wants to evaluate the teaching quality of the school by collecting data from a sample of students. Which of the following is not a suitable stratum to be used to collect the sample?
AGrade level
BGender
CRace
DHomeroom
EFirst name
Q5:
The manager of a supermarket wants to survey their customers about their opinions on a new coffee shop. To obtain the sample, the manager surveys every tenth person coming into the supermarket, starting from the third customer of the day. Which sampling method is used for this study?
ASimple random sampling
BStratified sampling
CSystematic sampling
Q6:
A politician wanted to survey voters to determine whether to fund a highway construction in a city. To obtain the sample, the politician obtained a complete list of registered voters and assigned a unique number to each individual. Then, a sample was selected based on a list of random numbers generated by a computer program. Which sampling method was used for this study?
AStratified sampling
BSystematic sampling
CSimple random sampling
Q7:
A company manufactures computer components, and each unit contains a serial number starting at 1 and increasing by 1 each time a unit is manufactured. If the company wants to survey 20 units using a systematic sample starting at the third unit and the population size is 200, determine the serial number of the last unit in the sample.
Q8:
A school wants to survey its students. They choose a sample by putting every student’s name into a hat and then drawing names from the hat. Which of the following is the sampling method used?
ASimple random sampling
BSystematic sampling
CStratified sampling
Q9:
At a local golf club, there are 50 male members and 30 female members. A representative sample of 10 random male members and 6 random female members is chosen. Which of the following is the sampling method used?
ASimple random sampling
BStratified sampling
CSystematic sampling
Q10:
A human resources worker wants to find the average salary of all employees in a company. To do this, they take the list of employee IDs and choose every 20th employee. Which of the following is the sampling method used?
ASystematic sampling
BStratified sampling
CSimple random sampling