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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.2...

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.2 years, and standard deviation of 0.7 years. If 12 items are picked at random, 10% of the time their mean life will be less than how many years? Give your answer to one decimal place.

Math   Statistics-And-Probability   
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Answer #1

Given that,

= / n = 0.7 / 12

P(Z < -1.28) = 0.10

z = -1.28

= z * + = -1.28 * 0.7 / 12 + 3.2 = 2.9

Answers = 2.9 years

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