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. Suppose you work for the FDA and are told that the current amount of somatic cells (common name "pus") in 1 cc of cow milk is currently 750,000 (note: this is the actual allowed amount in the US!). You are also told the standard deviation is 66000 cells. The FDA then tasks you with checking to see if this is accurate.
You collect a random sample of 50 specimens (1 cc each) which results in a sample mean of 763436 pus cells. Use this sample data to create a sampling distribution. Assume that the population mean is equal to the FDA's legal limit and see what the probability is for getting your random sample.
a. Why is the sampling distribution approximately normal?
b. What is the mean of the sampling distribution?
c. What is the standard deviation of the sampling distribution?
d. Assuming that the population mean is 750,000, what is the probability that a simple random sample of 50 1 cc specimens has a mean of at least 763436 pus cells?
e. Is this unusual? Use the rule of thumb that events with probability less than 5% are considered unusual.
Yes
No
f. Explain your results above and use them to make an argument that the assumed population mean is incorrect. (6 points) Structure your essay as follows:
Describe the population and parameter for this situation.
Describe the sample and statistic for this situation.
Give a brief explanation of what a sampling distribution is.
Describe the sampling distribution for this situation.
Explain why the Central Limit Theorem applies in this situation.
Interpret the answer to part d.
Use the answer to part e. to argue that the assumed population mean is either correct or incorrect. If incorrect, indicate whether you think the actual population mean is greater or less than the assumed value.
Explain what the FDA should do with this information.
Answers: 3
Other questions on the subject: SAT
SAT, 26.06.2019 21:30, whackybrother24
In anton chekhov’s the proposal, lomov talks about how much land he owns instead of making romantic gestures while trying to propose to natalya. which idea influences lomavs behavior
Answers: 1
SAT, 27.06.2019 17:30, kev485
Give the brainliestwhich parts of the scientific process differentiate it from pseudoscience? check all that apply. stating facts based on opinionsusing models and experimentsasking new questionsmaking subjective claimshaving explanations that answer all questionsi need more than one answer
Answers: 1
SAT, 28.06.2019 18:20, qveensentha59
In δabc shown below, bd over ba equals be over bc: triangle abc with segment de intersecting sides ab and bc respectively. the following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side: top path, by given the ratio of line segments bd to ba is equal to the ratio of line segments be to bc. by space labeled by 2, space labeled by 1 occurs. by corresponding parts of similar triangles, angle bde is congruent to angle bac. by converse of the corresponding angles postulate, line segment de is parallel to line segment ac. bottom path, by reflexive property of quality, angle b is congruent to angle b. by space labeled by 2, space labeled by 1 occurs. by corresponding parts of similar triangles, angle bde is congruent to angle bac. by converse of the corresponding angles postulate, line segment de is parallel to line segment ac. which reason can be used to fill in the numbered blank space? 1. δabc ~ δbed 2. side-angle-side similarity postulate 1. δabc ~ δbed 2. side-side-side similarity theorem 1. δabc ~ δdbe 2. side-angle-side similarity postulate 1. δabc ~ δdbe 2. side-side-side similarity theorem
Answers: 3
You know the right answer?
Applying the Central Limit Theorem:
The amount of contaminants that are allowed in food products is...
Questions in other subjects:
History, 29.06.2019 08:30
Mathematics, 29.06.2019 08:30
English, 29.06.2019 08:30
