If z is the positive number such that the interval from z to +
Question:
If z is the positive number such that the interval from
μ − zσ to μ + zσ contains 50% of a normal distribution, then
(a) Which percentile is (i) μ + zσ? (ii) μ − zσ?
(b) Find this value of z. Using this result, explain why the upper quartile and lower quartile of a normal distribution are μ + 0.67σ and μ − 0.67σ, respectively.
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