Explain in what sense the population variance is sensitive

Reference no: EM131391563

1. Explain in what sense the population variance is sensitive to small changes in a distribution.

2. For normal random variables, the probability of being within one standard deviation of the mean is .68. That is, P(µ - σ ≤ X ≤ µ + σ) = .68 if X has a normal distribution. For nonnormal distributions, is it safe to assume that this probability is again .68? Explain your answer.

Reference no: EM131391563

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