Topic 11 and 12 Review

A school newspaper publishes an article stating that approximately 40% of students in the school listen to classical music when studying. The newspaper explains that the poll was given to students in a randomly selected music club, where 5 of the 12 students said they listen to classical music while studying.

Which statement is true?

• The findings in the article represent the entire population because the newspaper randomly selected the club for the poll.

• The findings in the article represent the entire population because approximately 40% of the students polled listen to classical music.

• The findings in the article do not represent the entire population because the club is not representative of the student population.

• The findings in the article do not represent the entire population because less than 40% of students listen to classical music.

Which of the following is a parameter? Choose 2.

• The median house price of all the houses in a state.

• The average height of a random sample of 10 students from a class.

• The median house price in 3 randomly selected cities in a state.

• The average height of all students in a school.

Which statistical method involves testing different assumptions under controlled conditions?

• experiment

• observational study

• questionnaire

• survey

A large high school’s athletic director wants to find out students’ opinions on several matters by surveying a random sample of the student population. Resources will allow 60 of the school’s 2,000 students to be surveyed.

Which method of choosing the student sample would allow the athletic director to draw the most valid conclusions based on survey results?

• surveying the first 15 students who arrive at school each morning for four mornings in a row during the week

• surveying the first 60 students who respond to a flyer requesting that students participate in a survey in exchange for $1

• surveying 15 male students from each grade whose numbers are drawn in a lottery in which all members of that grade are given a number and entered

• surveying 60 students whose numbers are drawn in a lottery in which all 2,000 students from the school are given a number and entered

Which method would be the best way to conduct an observational study to determine the effects of vitamin C for preventing colds?

• Ask 100 people who consume vitamin C if they got a cold.

• Ask 100 people who had a cold last winter if they consumed vitamin C on a regular basis and record the number.

• Divide 100 volunteers into two groups; one group will consume vitamin C and the other group will not consume vitamin C. After a period of time, see how many people in each group developed a cold.

• Interview 100 people and classify them as either never consuming vitamin C, sometimes consuming vitamin C, or consuming vitamin C on a regular basis. Check for any cold symptoms in all the patients and analyze results.

An airline company wants to conduct a survey about passenger satisfaction. Which of the following survey methods should it use to reduce the chance of bias?

• Randomly select 150 passengers and ask them to rate the service they received from the airline.

• Randomly select 200 passengers in the age group 20-30 and ask them to rate the service they received from the airline.

• Select the first 100 passengers who disembark from a flight and ask them to rate the service they received from the airline.

• Randomly select 250 passengers in the age group 50-60 and ask them to rate the service they received from the airline.

Bert’s new high school plans to choose school colors by the end of the month. Bert surveyed 100 band students for their color preferences in the chart below. Which statement best describes why Bert's data is misleading?

• The population sample is not identified by age.

• It does not give the percentage for each color combination.

• It does not identify the grade level of the students surveyed.

• The entire school population is not represented in the survey.

Consumers who bought Silly Soap were asked to respond to an internet survey comparing the product to other cleaners. If 600 of the 800 people said they preferred Silly Soap, what claim can the company make?

• 3 out of 4 women prefer Silly Soap.

• More people use Silly Soap than any other brand.

• Any claim would not be accurate since it is likely that most respondents were women.

• Any claim would not be accurate since the survey was given to Silly Soap consumers.

Which statement comparing the standard deviations of the curves is true?

• The standard deviation of Curve A is larger than the standard deviation of Curve B.

• The standard deviation of Curve B is larger than the standard deviation of Curve C.

• The standard deviation of Curve A is smaller than the standard deviation of Curve C.

• The standard deviation of Curve A is equal to the standard deviation of Curve C.

A jar contains 4 blue marbles and 3 green marbles. One marble is chosen at random without replacement, and then another marble is randomly selected. Event A is choosing a green marble on the first draw and event B is choosing a blue marble on the second draw. Which statement is true about events A and B?

• Events A and B are complementary events.

• Events A and B are both independent events.

• Event A is dependent on the outcome of event B.

• Event B is dependent on the outcome of event A.