• How do I collect sample data from population?

7.6 Sample Data and PopulationsExample 1 Collect data by randomly samplingCollect data by randomly sampling

A gym has 467 female members and 732 male members. The A gym has 467 female members and 732 male members. The marketing director of the gym wants to form a random sample of 30 marketing director of the gym wants to form a random sample of 30 female members and a separate random sample of 60 male members female members and a separate random sample of 60 male members to answer some survey questions. Each female member has a to answer some survey questions. Each female member has a membership number from 1 to 467 and each male member has a membership number from 1 to 467 and each male member has a membership number from 1001 to 1732. Use a graphing calculator to membership number from 1001 to 1732. Use a graphing calculator to select the members who will participate in each random sample.select the members who will participate in each random sample.Random sample of female members:Using the random integer feature of a graphing calculator to generate ____ random integers between __ and ____ produces the following sample answer.

30 1467

The random sample of female members have membership numbers: ___________________________ vary willAnswers

7.6 Sample Data and PopulationsExample 1 Collect data by randomly samplingCollect data by randomly sampling

A gym has 467 female members and 732 male members. The A gym has 467 female members and 732 male members. The marketing director of the gym wants to form a random sample of 30 marketing director of the gym wants to form a random sample of 30 female members and a separate random sample of 60 male members female members and a separate random sample of 60 male members to answer some survey questions. Each female member has a to answer some survey questions. Each female member has a membership number from 1 to 467 and each male member has a membership number from 1 to 467 and each male member has a membership number from 1001 to 1732. Use a graphing calculator to membership number from 1001 to 1732. Use a graphing calculator to select the members who will participate in each random sample.select the members who will participate in each random sample.Random sample of male members:Using the random integer feature of a graphing calculator to generate ____ random integers between _____ and _____ produces the following sample answer.

601001 1732The random sample of male members have membership numbers: ___________________________ vary willAnswers

7.6 Sample Data and PopulationsCheckpoint. Complete the following exercises.Checkpoint. Complete the following exercises.

1. In Example 1, suppose there are 245 female members and

532 male members. The marketing director wants to form

a random sample of 12 female members and a separate

random sample of 15 male members. Use a graphing

calculator to select the members who will participate in

each random sample.

Generate 12 random integers between 1 and 245.

Generate 15 random integers between 1001 and 1532.

7.6 Sample Data and PopulationsExample 2 Compare statistics and parametersCompare statistics and parameters

A company wants to know how many minutes it takes their employees A company wants to know how many minutes it takes their employees to drive to work each day. Gillian and Ted, two employees, collect to drive to work each day. Gillian and Ted, two employees, collect separate random samples. Their results are displayed below. The separate random samples. Their results are displayed below. The population mean is 18.4 and the population standard deviation is population mean is 18.4 and the population standard deviation is about 15.6. Compare the means and standard deviations of the about 15.6. Compare the means and standard deviations of the random samples to the population parameters.random samples to the population parameters.

Gillian10, 8, 20, 42, 5, 32, 8, 9, 17, 27

Ted23, 18, 6, 47, 23, 31, 10, 13, 7, 3, 14, 55, 25, 19, 23

:Gillianx 8.17 7.11

:Tedx 1.21 0.14

7.6 Sample Data and PopulationsExample 2 Compare statistics and parametersCompare statistics and parameters

A company wants to know how many minutes it takes their employees A company wants to know how many minutes it takes their employees to drive to work each day. Gillian and Ted, two employees, collect to drive to work each day. Gillian and Ted, two employees, collect separate random samples. Their results are displayed below. The separate random samples. Their results are displayed below. The population mean is 18.4 and the population standard deviation is population mean is 18.4 and the population standard deviation is about 15.6. Compare the means and standard deviations of the about 15.6. Compare the means and standard deviations of the random samples to the population parameters.random samples to the population parameters.

Gillian10, 8, 20, 42, 5, 32, 8, 9, 17, 27

Ted23, 18, 6, 47, 23, 31, 10, 13, 7, 3, 14, 55, 25, 19, 23

The mean of Gillian’s sample is ___________ the population mean, while the mean of Ted’s sample is _______________ the population mean.

thanless

angreater thThe standard deviation of both samples are ___________ the population standard deviation. thanless

7.6 Sample Data and PopulationsCheckpoint. Complete the following exercises.Checkpoint. Complete the following exercises.

2. In Example 2, suppose the population mean is 14.5 and

the population standard deviation is 10.4. Compare the

means and standard deviations of the random samples to

the population parameters.

The means and standard deviations of both samples are greater than the population mean and population standard deviation.

7.6 Sample Data and Populations

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