Estimating the Population Mean, Part 1 of 2
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Lesson Summary:
In this lesson, we learn how to estimate the mean weight of cereal boxes using a sample of 800 boxes. We are trying to estimate the mean weight of all cereal boxes in the population, but we don't know mu or the mean weight of the cereal boxes, and we don't know the standard deviation of the cereal boxes. However, we can use the central limit theorem to create a normal distribution called the sampling distribution, where the mean of all the x bars equals the mean of the population. We'll continue this problem in part two of the lesson.
Lesson Description:
Part 1 of estimating the population mean in statistics.
Produced by Kent Murdick
Instructor of Mathematics
University of South Alabama
Additional Resources:
- Z-Distribution - z-distribution tables and equation
- t-Distribution - t-distribution graph and equation
Questions answered by this video:
- How do you estimate a population mean using a sample in statistics?
- How do you find a 98% confidence interval?
- How do you know if the Central Limit Theorem applies in a statistics problem?
- How do you know when you can use a z-test instead of a t-test?
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Staff Review
This is another very good example problem in statistics. It uses a sample to estimate a population to within a confidence interval. Everything is explained clearly, and the problem is solved. It is finished and explained in part 2 of this lesson.
