Animals of a given weight are operated on in a veterinary hospital. The dose of anesthetic A (in mg) required to render animals suitably unconscious for the operation is normally distributed with mean 120 and standard deviation 20. The lethal dose L (in mg) of the same anesthetic for these animals is also normally distributed, with mean 350 and standard deviation 50. (Help on part a and b) a. Find a dose "D" that the vet should administer, in order that 99.9% of animals will be suitably unconscious for the operation. b. If the dose "D" that you found in part a is administered, what percentage of animals die?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Animals of a given weight are operated on in a veterinary hospital. The dose of anesthetic A (in mg) required to render animals suitably unconscious for the operation is
a. Find a dose "D" that the vet should administer, in order that 99.9% of animals will be suitably unconscious for the operation.
b. If the dose "D" that you found in part a is administered, what percentage of animals die?
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