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6.6 Analyze Surveys and Samples Classify a sampling method Example 1

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Analyze Surveys and Samples

Classify a sampling method

Example 1

Study Time A high school is conducting a survey to determine the average number of hours that their students spend doing homework each week. At the school, only the members of the sophomore class are chosen to complete the survey. Identify the population and classify the sampling method.

Solution

The population is ___________________________.

all of the school’s students

Because a rule (sophomore class only) is used to select members of the population, the sample is a ____________ sample.

systematic

Analyze Surveys and Samples

Identify a potential biased sample

Example 2

Is the sampling method used in Example 1 likely to result in a biased sample?

Solution

Students in other grades may have different study habits, so the method ____________ in a biased sample.

may result

Analyze Surveys and Samples

Identify potentially biased questions

Example 3

Tell whether the question is potentially biased. Explain your answer. If the question is potentially biased, rewrite it so that it is not,

- Do you still support the schools basketball team, even though the team is having its worst season in 5 years?

Solution

- The question is biased because _______________ _________________________________________________________________.

it suggests that

people should not support a basketball team that is doing poorly

An unbiased question is, “__________________ ___________________________”

Do you support

the school basketball team?

Analyze Surveys and Samples

Identify potentially biased questions

Example 3

Tell whether the question is potentially biased. Explain your answer. If the question is potentially biased, rewrite it so that it is not,

- Don’t you think that dogs are better pets than cats?

Solution

- The question is biased because _______________ ____________________________.

it suggests that

dogs are better pets than cats

An unbiased question is, “__________________ ________________________”

Do you think dogs

or cats make better pets?

Analyze Surveys and Samples

Checkpoint. Complete the following exercises.

- In Example 1, suppose the school asks students to volunteer to take the survey. Classify the sampling method.

Self-selected sample

Analyze Surveys and Samples

Checkpoint. Complete the following exercises.

- An amusement park owner wants to evaluate the customer service given by the park’s ride operators. On day, every 10th customer leaving the park was asked, “Don’t you think our friendly, well-trained ride operators provided excellent customer service today?”

- Is the sampling method likely to result in a biased sample? Explain.

No.

In this systematic sample, the rule to choose survey participants is not biased.

Analyze Surveys and Samples

Checkpoint. Complete the following exercises.

- An amusement park owner wants to evaluate the customer service given by the park’s ride operators. On day, every 10th customer leaving the park was asked, “Don’t you think our friendly, well-trained ride operators provided excellent customer service today?”

- Is the question potentially biased? Explain your answer. If the question is potentially biased, rewrite it so that it is not.

This question is biased because it suggests that the ride operators did provide excellent customer service.

An unbiased question is “Do you think that our ride operators provided excellent customer service?”

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