Name: 
 

Math 9 LG 17 Practice Quiz #2


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
The last three days Alexa had a test and ate an energy bar on her way to school that morning, she did well on the test. Today she had a test, so she ate an energy bar on her way to school.
Was her decision based on theoretical probability, experimental probability, or subjective judgment?
a.
A combination of theoretical probability and subjective judgment
b.
Theoretical probability
c.
Subjective judgment
d.
Experimental probability
 

 2. 
A sports club is going to have a draw for a prize during its awards ceremony. Sasha did not enter the draw because she was not feeling lucky, and almost every club member had purchased a ticket.
Was her decision based on theoretical probability, experimental probability, or subjective judgment?
a.
Subjective judgment
b.
Experimental probability
c.
Theoretical probability
d.
A combination of theoretical probability and subjective judgment
 

 3. 
Marjorie wanted to collect information about the sports her classmates were interested in. She prepared a 10 min questionnaire which she gave to her classmates the day before the final math exam.
In this survey, which of the following might be a problem with this question?
i)      Privacy
ii)      Timing
iii)      Cost
iv)      Cultural sensitivity
a.
i
b.
iv
c.
ii
d.
iii
 

 4. 
Alec decided to survey all the library patrons in his city to see how often they downloaded e-books from the library’s Web site.
Which of the following might be a problem with his survey?
i)      Timing
ii)      Bias
iii)      Ethics
iv)      Cost
a.
iv
b.
iii
c.
i
d.
ii
 

 5. 
A college wants to estimate the number of high school students who will enrol in September.
Which data collection method would provide the most accurate information?
i)      Survey a sample of grade 12 students from one local high school
ii)      Survey a  sample of grade 12 students from all the local high schools
iii)      Survey all grade 12 students from the local high schools
iv)      Survey all grade 12 students from one local high school
a.
iii
b.
i
c.
ii
d.
iv
 

 6. 
A baker wants to check the quality of the muffins he bakes each day.
Which of the following data collection methods would provide the most accurate information?
i)      Test one muffin from each batch
ii)      Test all the muffins in the first batch
iii)      Test all the muffins in a random batch
iv)      Test all the muffins in the last batch
a.
i
b.
iv
c.
ii
d.
iii
 

 7. 
A fashion designer offered to teach a class on clothing design for students in grades 11 and 12.
Which data collection method would provide the most accurate information about how likely students would be to take the class?
i)      Survey a sample of grade 11 and 12 students
ii)      Survey a sample of grade 11 and 12 girls
iii)      Survey all grade 12 students
iv)      Survey all grade 11 and 12 girls
a.
ii
b.
iv
c.
i
d.
iii
 

 8. 
A mobile phone company wants to know if its customers would be willing to pay a higher monthly fee for a plan that would cover international calls to Europe. To gather data, they make a list of cell phone numbers that regularly make calls to Europe and use a computer program to randomly select numbers from this list to call and survey. Which sampling method did the company use?
a.
Simple random sampling
c.
Self-selected sampling
b.
Systematic sampling
d.
Convenience sampling
 

 9. 
A school’s cafeteria manager wants to know whether changing the cafeteria menu will increase its the number of lunch specials it sells. On Wednesday, the manager surveys as many people in the cafeteria as he can to find out. Which sampling method did he use?
a.
Simple random sampling
c.
Convenience sampling
b.
Cluster sampling
d.
Systematic sampling
 

 10. 
A local political party wants to know what people think about a new by-law banning certain types of dogs. It sends out a newsletter to everyone in the district. The newsletter contains a questionnaire and readers are asked to return their responses by mail or email. Which sampling method was used?
a.
Self-selected sampling
c.
Simple random sampling
b.
Systematic Sampling
d.
Cluster sampling
 

Short Answer
 

 11. 
Adriane noted that there were 64 males and 16 females in the cafeteria when she ate lunch.
She concluded that 80% of the people who use the cafeteria are male.
What assumptions did Adriane make?
 

 12. 
A report states that 45% of accidents involving cyclists were caused by cyclists.
Explain how a student could use this data:
a)      to enroll in a cycling safety program
b)      not to enroll in a cycling safety program
 

 13. 
Ms. Calder had her students complete a questionnaire on the number of hours they spent studying in a week. How might timing affect her results?
 

 14. 
Which of the following questions are biased? Explain.
i)      Is it appropriate to use a tanning bed before taking a trip to a tropical destination to avoid getting a bad sunburn?
ii)      Should tanning beds be banned because they can cause skin cancer?
iii)      Should the government regulate the use of tanning beds?
 

 15. 
A materials engineer tests a certain type of cell phone to see how resistant the phone is to high temperatures. Does he collect data from a sample or a census?
 

 16. 
A school board wants to know whether it should upgrade the computer facilities in its school.
Should the school board use a census or a sample to collect their data?
 

 17. 
Wayne asked the boys in his grade 9 class whether they watched NHL hockey on TV.
12 out of the 15 boys said they watched NHL hockey on TV.
Wayne concluded that 80% of grade 9 students watched NHL hockey on TV.
What, if anything, is wrong with Wayne’s claim?
 

 18. 
A food company wants to know what people aged 15 to 25 eat for breakfast.
They interview a random sample of high school, college, and university students.
What is a potential problem with this sampling method?
 

 19. 
Sasha wanted to determine the average mass of a grade 9 students’ backpack. During her gym class on Monday morning, she invited everyone in the class to weigh their backpacks. Will the selected sample represent the population?
 

 20. 
An airline manager wants to assess customer satisfaction at check-in. She decides to survey every 30th person who checks in for one week. Will the selected sample represent the population?
 

Problem
 

 21. 
Four students have been hired to prepare gift bags for a large conference. Each gift bag has to contain the same five items and students are expected to fill 20 bags per hour. The quality control officer ensures the job is completed correctly and on time. Describe a sampling method you could use to ensure the bags contain the correct items, and are filled at an appropriate rate.
 

 22. 
A city receives two proposals relating to cycling:
Proposal 1: Increase the number of bicycle lanes and cycling pathways in the city
Proposal 2: Cyclists should register their bikes and pay an annual fee
How do you think each of the following groups will respond to these proposals?
a)      People who cycle to work on a regular basis
b)      People who only mountain bike on the trails outside of town
c)      Pedestrians
d)      Motorists
 

 23. 
Give 3 examples of data collection that might be affected by timing. Justify your answers.
 

 24. 
A school principal reads a study with this information.
Only 40% of teenage boys and 20% of teenage girls consume enough dairy products to maintain good health.
The principal decides to provide students with a free glass of milk each day and to add chocolate milk, cheese, and yogurt to the cafeteria menu.
a)      What assumptions has the principal made?
b)      Why might there be no change in students’ consumption of dairy products?
 



 
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