Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 83

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 millimetre of whole blood to a healthy adult. Then µ = 7500 and 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
= 6820. What is the probability that, for healthy adults,
will be this low or lower
(a) How does the central limit theorem apply Explain.
(b) Compute
.
(c) Interpretation Based on your answer to part (b), would you recommend that additional facts be obtained, or would you recommend that the worker's claims be dismissed Explain.