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The z-scores that bound the middle 44 % under the standard normal curve are z =...

The z-scores that bound the middle 44 % under the standard normal curve are z = -a and z = a. Find the value of a.

Math   Statistics-And-Probability   
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Answer #1

Solution :

Using standard normal table ,

P(-a Z a) = 0.44

P(Z a) - P(Z -a) = 0.44

2P(Z a) - 1 = 0.44

2P(Z a) = 1 + 0.44 = 1.44

P(Z a) = 1.44 / 2 = 0.72

P(Z 0.58) = 0.72

z = 0.58

z-score = 0.58

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