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Math 9 LG 17 Practice Quiz #5



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

 1. 

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
 

 2. 

According to the weather forecast, there is a 90% chance of snow, with accumulations of up to 10 cm. Andrew drives out to see his friends because he thinks the weather will not be as bad as it is forecasted to be.
Is his decision based on theoretical probability, experimental probability, or subjective judgment?
a.
Subjective judgment
b.
A combination of experimental probability and subjective judgment
c.
Theoretical probability
d.
Experimental probability
 

 3. 

On a hot sunny day in June, teenagers were surveyed to find out how they feel about the city building a new outdoor ice skating rink. In this survey, which of the following might be a problem?
i)      Cultural sensitivity
ii)      Timing
iii)      Use of Language
iv)      Privacy
a.
i
b.
ii
c.
iii
d.
iv
 

 4. 

Belinda gave a questionnaire with 100 questions to some students in grades 8, 9, and 10 to obtain information on their study habits. In this survey, which of the following might be a problem?
i)      Ethics
ii)      Use of Language
iii)      Cultural sensitivity
iv)      Time
a.
i
b.
iii
c.
ii
d.
iv
 

 5. 

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
 

 6. 

To determine the favourite TV shows of grade 9 students at a school, which of the following data collection methods would provide the most accurate information?
i)      Survey a sample of students in one grade 9 class
ii)      Survey all students in one grade 9 class
iii)      Survey a  sample of students from each grade 9 class
iv)      Survey all students in each grade 9 class
a.
iv
b.
ii
c.
i
d.
iii
 

 7. 

For a science project, groups of grade 9 students each analysed a sample of water from a local stream.
Group P collected samples every Monday morning before school.
Group Q collected samples at different times every Tuesday.
Group R collected samples before school on different days.
Group S collected samples at different times on different days
Which group will produce the most reliable information?
a.
Group Q
b.
Group R
c.
Group P
d.
Group S
 

 8. 

A town council wants to know the public’s opinion about increasing taxes to pay for more housing for the homeless. They hire people to conduct door-to-door interviews in randomly selected areas of town. Which sampling method did the town council use?
a.
Self-selected sampling
c.
Systematic sampling
b.
Simple random sampling
d.
Cluster sampling
 

 9. 

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
 

 10. 

A company hires students to fill boxes with cartons of fruit juice. The quality control manager wants to ensure each box contains the same number of each type of juice. For each student,  the manager randomly selects and checks a box that the student filled.
a.
Cluster sampling
c.
Systematic sampling
b.
Stratified random sampling
d.
Convenience sampling
 

Short Answer
 

 11. 

According to the weather forecast, there is an 80% chance of sunshine tomorrow.
Lei plans to go rollerblading tomorrow.
Explain how Lei’s decision to go rollerblading could be based on:
a)      Probability
b)      Subjective judgment
 

 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. 

Name a problem related to this data collection.
Which of the following do you prefer to eat for breakfast?
sa013-1.jpg Sausages, bacon, and eggs
sa013-2.jpg Pancakes, bacon, and syrup
sa013-3.jpg Cold cuts, cheese, and fruit
 

 14. 

Describe how this question reveals a bias of the questioner.
“Do you think driving while talking on a cellphone should be banned because it causes more accidents?”
 

 15. 

The owners of a chain of fast food restaurants want to know if customers are satisfied with the restaurant chain. They set up a Web site where customers can enter a code from their receipt and then rate the restaurant.
Are the data collected from a sample or a population?
 

 16. 

Should an operator of an outdoor climbing school use a census or a sample when inspecting the climbing equipment?
 

 17. 

Juanita wanted to know the difference in the average heights of 15-year-old males and females in her town. What population should she survey?
 

 18. 

A company produces boxes of breakfast cereal weighing 400 g. The quality control inspector wants to ensure that each box contains 395 g - 405 g of cereal. She selects a random sample of 10 boxes from each production line at noon each day. What is a potential problem with this sampling method?
 

 19. 

A company that produces printer cartridges wants to know what fraction of the cartridges are faulty. The produce about 200 cartridges an hour and tests 1 randomly selected cartridge each hour. 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. 

At 10 am, Naïna and Claire arrived at a ticket office to buy tickets for a concert.
The line up was long, so they considered going to the gym and returning at 1 pm.
a)      What assumptions would suggest this was a good idea?
b)      What assumptions would suggest this was not a good idea?
 

 22. 

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

 23. 

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
 

 24. 

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.
 



 
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