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FDA report on pesticides in food. Every quarter, the Food
Chapter 4, Problem 57E(choose chapter or problem)
FDA report on pesticides in food. Every quarter, the Food and Drug Administration (FDA) produces a report called the Total Diet Study. The FDA's report covers a variety of food items, each of which is analyzed for potentially harmful chemical compounds. A Total Diet Study reported that no pesticides at all were found in 65% of the domestically produced food samples (FDA Pesticide Program: Residue Monitoring, 2008). Consider a random sample of 800 food items analyzed for the presence of pesticides.
a. Compute \(\mu\) and \(\sigma\) for the random variable x, the number of food items found that showed no trace of pesticide.
b. Based on a sample of 800 food items, is it likely you would observe less than half without any traces of pesticide? Explain.
Questions & Answers
QUESTION:
FDA report on pesticides in food. Every quarter, the Food and Drug Administration (FDA) produces a report called the Total Diet Study. The FDA's report covers a variety of food items, each of which is analyzed for potentially harmful chemical compounds. A Total Diet Study reported that no pesticides at all were found in 65% of the domestically produced food samples (FDA Pesticide Program: Residue Monitoring, 2008). Consider a random sample of 800 food items analyzed for the presence of pesticides.
a. Compute \(\mu\) and \(\sigma\) for the random variable x, the number of food items found that showed no trace of pesticide.
b. Based on a sample of 800 food items, is it likely you would observe less than half without any traces of pesticide? Explain.
ANSWER:Solution:
Step 1 of 3:
It is given that a sample of 800 food items are analysed for the presence of pesticides.
A report found that in 65% of the domestically produced food items there was no pesticide at all.
Using this data we need to find the required values.