Judy's doctor is concerned that she may suffer from hypokalemia (low potassium in the blood). There is variation both in the actual potassium level and in the blood test that measures the level. Judy's measured potassium level varies according to the Normal distribution with mean = 3.8 and standard deviation = 0.2. A patient is classified as hypokalemic if the potassium level is less3.5. a)If a single potassium measurement is made, what is the probability that Judy is diagnosed as hypokalemic? b) If measurements are made instead on 4 separate days and the mean result is compared with the criterion of 3.5 mmol/l, what is the probability that Judy is diagnosed as hypokalemic?
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.
Judy's doctor is concerned that she may suffer from hypokalemia (low potassium in the blood). There is variation both in the actual potassium level and in the blood test that measures the level. Judy's measured potassium level varies according to the
a)If a single potassium measurement is made, what is the
b) If measurements are made instead on 4 separate days and the mean result is compared with the criterion of 3.5 mmol/l, what is the probability that Judy is diagnosed as hypokalemic?
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