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Chapter 4

Q. 4.14

Refer to Example 4.13. The yield of a certain run has a z-score of -1.4. Find the yield in the original units of grams.

Step-by-Step

Verified Solution

We use Equation (4.1 0), substituting -1.4 for ζ and solving for x. We obtain

z = \frac{x  –  μ}{σ}                (4.10)

-1.4 = \frac{x  –  1500}{50}

Solving for x yields x = 1430. The yield is 1430 grams.