Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Haley will not go on a cruise because the boat may sink even though cruise ships
are very rarely involved in accidents.
Is her decision based on theoretical probability,
experimental probability, or subjective judgment?
a. | Subjective judgment | b. | Experimental probability | c. | A combination of
theoretical and experimental probability | d. | Theoretical
probability |
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2.
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Adam boards the last car of the train because he’s noticed in the past
that the last car always has available seats.
Is his 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 |
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3.
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Ms. Coplick interviewed her students and asked each one how much he or she was
given each week as an allowance. In this survey, which of the following might be a problem? i)
Privacy
ii) Timing
iii) Use of
Language
iv) Cost
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4.
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In late November Anita surveyed every student in her class to find out their
favourite Christmas carols. Which of the following might be a problem? i) Timing
ii)
Use of Language
iii) Cultural
sensitivity
iv) Cost
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5.
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Drew wanted to know the proportion of grade 9 students in his school who travel
to school using public transportation. Which population is he interested in surveying? i) All students in his
school
ii) All grade 9 students in his
school
iii) All students who use public transportation to get to
school
iv) All grade 9 students who use public transportation to get
to school
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6.
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A newspaper company wants to make sure that the pages of its newspaper appear in
the correct order. Which population is it interested in testing? i) All newspapers
printed
ii) Newspapers delivered to
residences
iii) Newspapers sold at newspaper
stands
iv) Newspapers delivered to businesses
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7.
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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
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8.
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A company makes granola bars in batches of 1200. The quality control inspector
tests 5 randomly selected bars from each batch. Which sampling method does the inspector use?
a. | Convenience sampling | c. | Cluster sampling | b. | Simple random sampling | d. | Stratified random
sampling |
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9.
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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 |
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10.
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The owner of a large business wants to know if the employees would be interested
in having a free fitness centre available for their use. She sends a memo to all employees, asking
them to send their input to her assistant. Which sampling methods did she use?
a. | Cluster sampling | c. | Systematic sampling | b. | Simple random sampling | d. | Self-selected
sampling |
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Short Answer
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11.
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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
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12.
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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
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13.
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Name a problem related to this data collection. Which of the following do you
prefer to eat for breakfast?
 Sausages, bacon, and eggs
 Pancakes, bacon, and
syrup
 Cold cuts, cheese, and fruit | |
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14.
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Name a problem related to this data collection.
Brandon wanted to collect
information on students’ television viewing habits.
He decided to mail a questionnaire,
along with a self-addressed stamped envelope,
to 300 students in his school.
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15.
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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?
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16.
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Should an operator of an outdoor climbing school use a census or a sample when
inspecting the climbing equipment?
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17.
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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?
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18.
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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?
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19.
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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?
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20.
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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?
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Problem
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21.
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Mr. Bell watched students purchase food at the school cafeteria during the first
half hour of lunch time one day. 44 of the 80 students chose pizza. Mr. Bell concluded that 55%
of the students will eat pizza on a given day.
State at least three assumptions Mr. Bell
made.
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22.
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Josh wants to find out how much, on average, grade 9 students spend on food each
month. a) Identify potential problems
he may encounter related to privacy, ethics, language, and
timing.
b) For each potential problem in part a, suggest how Josh
could avoid it.
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23.
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In each case, do you think the conclusion is valid? Justify your
answers. a) The owner of a gift store
receives a shipment of 100 figurines. Each of the first five figurines he inspects are broken. He
calls the supplier to complain that all of the figurines are
damaged.
b) Rachel surveyed 15 students to find out if they were
vegetarians. All of the students said they were not vegetarians. Rachel concluded that no one in the
school was a vegetarian.
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24.
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Suppose you want to find out how people in your city or town feel about camping.
a) Describe a sampling method that
would not lead to valid conclusions. Justify your choice.
b)
Describe a sampling method that you might use, and justify your choice.
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