Making Estimates About a Population Using Multiple Samples

This lesson teaches how to make population estimates using the mean of multiple samples. It covers using proportions to estimate unknown characteristics, calculating the mean, and the importance of multiple samples for accurate inferences. A practical example of ordering T-shirts for students is provided to illustrate these concepts.

What is the first step in using a proportion to estimate a population characteristic?

• Find the equivalent ratio for the population

• Identify the total population size

• Calculate the mean of the sample

• Determine the sample size

Why is it important to use multiple samples when making predictions about a population?

• To reduce the time needed for data collection

• To ensure the sample is random

• To increase the sample size

• To account for variability in sample results

How do you calculate the mean of a data set?

• Multiply all values together

• Find the middle value in the data set

• Subtract the smallest value from the largest

• Add all values and divide by the number of values

In the T-shirt example, what is the mean number of students who preferred blue?

• 13

• 15

• 14

• 16

What is the final step in using a proportion to estimate a population characteristic?

• Calculate the mean of the sample

• Solve the proportion for the unknown value

• Set up the proportion with the sample ratio

• Identify the total population size

How many blue T-shirts should be ordered for the students based on the sample data?

• 200

• 224

• 250

• 300

What is the key takeaway from using multiple samples to make inferences?

• It simplifies the data collection process

• It helps in making more accurate predictions

• It ensures the sample is representative of the population

• It reduces the need for large sample sizes