[Step-by-Step] Examine the Empirical Rule describing the Normal Curve. Compare how the Empirical Rule and Chebyshev's Theorem describe area under the curve
Question: Examine the Empirical Rule describing the Normal Curve. Compare how the Empirical Rule and Chebyshev's Theorem describe area under the curve at two and three standard deviations from the mean.
- What are the differences and why are there differences?
- In what areas of your daily lives are normal curves used to describe things?
- What would you say if your local school scored a z = 0 on the fourth grade reading achievement test?
- Let's look at sampling distributions. Why will a sampling distribution yield a better view of the population than a single sample? How might a single sample differ from a sampling distribution?
- Sampling size is something else that we need to consider. At what point in sampling size can we assume that a normal distribution will be seen? Why is this number considered to be one of statistic's "magic" numbers?
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