Lesson 10 Meaningful Possibilities Solidify Understanding
Learning Focus
Use simulation to find a plausible interval for the mean of a population from a sample.
How does finding an interval for a population mean compare to finding an interval for a population proportion?
Open Up the Math: Launch, Explore, Discuss
Alyce, Javier, and Veronica are thinking about the original
1.
Design and carry out a simulation you could use to create an interval of reasonable values for the actual average age
2.
Alyce randomly selects
3.
If the average age of the artifacts was really
4.
Explain why a sample size of
5.
Compare your strategy to the one you developed in the last lesson. Give a general strategy for finding an interval of plausible values for a population parameter using either a sample mean or a sample proportion.
Ready for More?
What could be done to reduce the size of the interval in problem 2 and still have a high degree of confidence that it represents the population mean?
Takeaways
For
Margin of error for a sample mean:
Interval of plausible values from a sample mean:
Lesson Summary
In this lesson, we found a margin of error for a sample mean, which creates a plausible interval for the population mean. We learned that to use the margin of error formula, we must have a sample size of at least 30. We also learned how to find the likelihood that a sample comes from a population with a given mean and standard deviation.
Given:
1.
Write the dimensions of
2.
Find
3.
Factor
4.
Factor
5.
Factor