Question: Sampling Distribution x Workers at a large toxic cleanup project are concerned that their white blood cell counts may have been reduced. Let x be

Sampling Distribution x Workers at a large toxic cleanup project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult.

Then m 7500 and s < 1750 (Reference: Diagnostic Tests with Nursing Applications, S. Loeb). A random sample of n 50 workers from the toxic cleanup site were given a blood test that showed x 5 6820. What is the probability that, for healthy adults, x will be this low or lower?

(a) How does the central limit theorem apply? Explain.

(b) Compute P(x 6820).

(c) Interpretation Based on your answer to part (b), would you recommend that additional facts be obtained, or would you recommend that the workers’ claims be dismissed? Explain.

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