Chapter 11.3, Problem 11Q

(a)

To determine

To identify: The type of sample described.

Answer to Problem 11Q

The type of sample is a convenience sample.

Explanation of Solution

Given:

The station surveys people at a nearby sports stadium.

Calculation:

In this case the station surveyed the people at a nearby sports stadium.

Thus, they selected those people for the survey who were readily available and easy to reach. So this sample is a convenience sample.

Conclusion:

Hence, the type of sample is a convenience sample.

(b)

To determine

To find: whether the sample is biased or not

Answer to Problem 11Q

It is a biased sample.

Explanation of Solution

Given:

The station surveys people at a nearby sports stadium.

Calculation:

This sample includes people who are at stadium and they are more likely to watch sporting events on television than the people who never go to a sports stadium.

Thus, this sample does not represent population accurately.

Hence, it is a biased sample.

Conclusion:

Hence, it is a biased sample.

(c)

To determine

To describe: The method for selecting a random sample.

Answer to Problem 11Q

The method is based on gender, one male and other female. Randomly select $100$ members from each group.

Explanation of Solution

Given:

The station surveys people at a nearby sports stadium.

Calculation:

To select a random sample of $200$ people to survey, the people in the viewing area can be divided into groups on the basis of gender. That is two groups, one male and other female. Then randomly select $100$ members from each group and record the data obtained from them.

Conclusion:

Hence, themethod is based on gender, one male and other female. Randomly select $100$ members from each group.