Name: 

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?

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?

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?

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?

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?

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?

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 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 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 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.

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 report states that 45% of accidents involving cyclists were caused by cyclists.
Explain how a student could use this data:

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

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?”

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?

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

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?

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?

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?

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?

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.

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

A city receives two proposals relating to cycling:
How do you think each of the following groups will respond to these proposals?

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.