(a) What is the probability that the amount of collagen is greater than 66 grams per mililiter? answer: (b) What is the probability that the amount of collagen is less than 80 grams per mililiter? answer: (c) What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean? answer:
(a) What is the probability that the amount of collagen is greater than 66 grams per mililiter? answer: (b) What is the probability that the amount of collagen is less than 80 grams per mililiter? answer: (c) What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean? answer:
(a) What is the probability that the amount of collagen is greater than 66 grams per mililiter? answer: (b) What is the probability that the amount of collagen is less than 80 grams per mililiter? answer: (c) What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean? answer:
The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 76 and standard deviation of 6.9 grams per mililiter.
Transcribed Image Text:**Probability and Statistics in Plant Extracts**
In this exercise, we will explore probabilities related to the concentration of collagen in a plant extract. Answer the following questions to assess your understanding.
(a) **What is the probability that the amount of collagen is greater than 66 grams per milliliter?**
- **Answer:** [ ]
(b) **What is the probability that the amount of collagen is less than 80 grams per milliliter?**
- **Answer:** [ ]
(c) **What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean?**
- **Answer:** [ ] %
Use this information to calculate probabilities or related statistical values. Remember, these questions are based on a hypothetical dataset and the principles of probability and statistics.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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![**Probability and Statistics in Plant Extracts**
In this exercise, we will explore probabilities related to the concentration of collagen in a plant extract. Answer the following questions to assess your understanding.
(a) **What is the probability that the amount of collagen is greater than 66 grams per milliliter?**
- **Answer:** [ ]
(b) **What is the probability that the amount of collagen is less than 80 grams per milliliter?**
- **Answer:** [ ]
(c) **What percentage of compounds formed from the extract of this plant fall within 2 standard deviations of the mean?**
- **Answer:** [ ] %
Use this information to calculate probabilities or related statistical values. Remember, these questions are based on a hypothetical dataset and the principles of probability and statistics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa29210f1-c509-4cc5-a424-b61c622bd259%2F9fb541c1-707d-4579-ad7e-35a9ed18a883%2Fs2somr_processed.png&w=3840&q=75)
