can someone help with this question Applying the Central Limit Theorem: The amou

Question

can someone help with this question Applying the Central Limit Theorem: The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. The current amount of somatic cells (common name "pus") allowed in 1 cc of cow milk is currently set at 750,000. Suppose a random sample of 40 1 cc specimens is gathered and results in a sample mean of 778733 pus cells.

What is the probability that a simple random sample of 40 1 cc specimens has a mean of at least 778733 pus cells?

Explanation / Answer

What is the probability that a simple random sample of 40 1 cc specimens has a mean of at least 778733 pus cells?

P( z > 778733 - 778733 / 750000 / srqt(40) )

P( z > 0) = 0.50

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