Question

The amount of contaminants that are allowed in food products is determined by the FDA (Food...

The amount of contaminants that are allowed in food products is determined by the FDA (Food & Drug Administration). Common contaminants in cow milk includes 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. (Note This is the actual amount currently allowed in the US!) The standard deviation is 67,000 cells. The FDA then tasks you with checking to see if this is accurate.  

You collect a random sample of 45 specimens (1 cc each) which results in a sample mean of 767,722 pus cells.  

1.Does the sample mean fall to the LEFT or the RIGHT of the actual mean?

2.How many standard deviations away from the true mean would a sample mean of 767,722 fall?

3.

Draw or Create a graph with a normal curve that illustrates the probability of the sample mean having at least 767,722 pus cells.

For this graph you must include the following:

true mean (i.e. population mean)

mean of random sample

shade applicable area under the curve

label/indicate the size of the shaded area, as a percentage

4.

Explain in detail what your results mean in context of this problem (i.e. the mean of the sample and how it compares to the actual mean).

Using your response as to whether or not you consider the results unusual, what could you assume in regards to the population mean? Do you think it is correct or incorrect? Why? If incorrect, do you think the actual population mean is greater or less?  

What do you think the FDA should do with this information ?

Homework Answers

Answer #1

a) RIght of the actual mean because sample mean is higher than actual mean.

b)

1.77437 standard deviations away from the true mean would a sample mean of 767,722 fall.

c) Standard error:

4) The probability of event is less than 0.05. Using event probability we can consider it as Unusual event.

To be usual value; Z score must be <1.645. So, we can consider actual population mean is less than sample mean.

We conclude that the test statistic is significant and there is sufficient evidencet that the sample mean is higher than actual population mean.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The amount of contaminants that are allowed in food products is determined by the FDA (Food...
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 83000 cells. The FDA...
Applying the Central Limit Theorem: The amount of contaminants that are allowed in food products is...
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...
Applying the Central Limit Theorem: The amount of contaminants that are allowed in food products is...
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...
The manager of a paint supply store wants to estimate the actual amount of paint contained...
The manager of a paint supply store wants to estimate the actual amount of paint contained in 1​-gallon cans purchased from a nationally known manufacturer. The​ manufacturer's specifications state that the standard deviation of the amount of paint is equal to 0.01 gallon. A random sample of 50 cans is​ selected, and the sample mean amount of paint per 1​-gallon can is 0.996 gallon. Complete parts​ (a) through​ (d). a. Construct a 95​% confidence interval estimate for the population mean...
A bottled water distributor wants to estimate the amount of water contained in 1​-gallon bottles purchased...
A bottled water distributor wants to estimate the amount of water contained in 1​-gallon bottles purchased from a nationally known water bottling company. The water bottling​ company's specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. A random sample of 50 bottles is​ selected, and the sample mean amount of water per 1​-gallon bottle is 0.993 gallon. A. Construct a 95​% confidence interval estimate for the population mean amount of water included in...
What is the chance a randomly selected employee would get a non-zero bonus amount? What is...
What is the chance a randomly selected employee would get a non-zero bonus amount? What is the chance a randomly selected employee would get at least $6000? What is the expected bonus value of the bonus amounts? What are the variance and standard deviation of the bonus amount? Binomial Suppose according to past data for a small boutique, about 30% of the customers who walk into the store purchase at least one item. Today 10 individual customers walked into the...
A bottled water distributor wants to estimate the amount of water contained in 1​-gallon bottles purchased...
A bottled water distributor wants to estimate the amount of water contained in 1​-gallon bottles purchased from a nationally known water bottling company. The water bottling​ company's specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. A random sample of 50 bottles is​ selected, and the sample mean amount of water per 1​-gallon bottle is 0.979 gallon. a. Construct a 95​% confidence interval estimate for the population mean amount of water included in...
A bottled water distributor wants to estimate the amount of water contained in 11​-gallon bottles purchased...
A bottled water distributor wants to estimate the amount of water contained in 11​-gallon bottles purchased from a nationally known water bottling company. The water bottling​ company's specifications state that the standard deviation of the amount of water is equal to 0.040.04 gallon. A random sample of 5050 bottles is​ selected, and the sample mean amount of water per 11​-gallon bottle is 0.992 gallon. COMPLETE PARTS (a) THROUGH (d). a. Construct a 99​% confidence interval estimate for the population mean...
WEEK 7, PRACTICE QUESTIONS (FROM THE BOOK) Prerequisites •   All material presented in the Logic of...
WEEK 7, PRACTICE QUESTIONS (FROM THE BOOK) Prerequisites •   All material presented in the Logic of Hypothesis Testing chapter 1. An experiment is conducted to test the claim that James Bond can taste the difference between a Martini that is shaken and one that is stirred. What is the null hypothesis? 2. The following explanation is incorrect. What three words should be added to make it correct? The probability value is the probability of obtaining a statistic as different (add...
Part III – Something's Not Right “It’s good to have you home, honey. I missed you....
Part III – Something's Not Right “It’s good to have you home, honey. I missed you. How was the flight?” Stacey had come to the airport to pick Frank up and she leaned over to kiss him as he climbed into the car with his luggage. “How were the meetings? You look tired,” she added. “The past week was intense and I am exhausted. I thought I would manage some R & R during the trip, but no such luck....