In pharmacologic research a variety of clinical chemistry measurements are routinely monitored closely for evidence of side effects of the medication under study. Suppose typical blood-glucose levels are normally distributed with mean 98.57 mg/dl and standard deviation 21.75 mg/dl. (Note: Round all of your answers to four decimal places where appropriate.) We would expect the blood glucose levels to fall between _____ and _____ in 99.7% of patients. A normal glucose range is 65 - 120 mg/dl. What is the probability a patient's blood glucose level falls between these two values? z1 = z2 = probability = What is the probability that a patient's blood glucose level is greater than 130 mg/dl? z = probability =
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.
In pharmacologic research a variety of clinical chemistry measurements are routinely monitored closely for evidence of side effects of the medication under study. Suppose typical blood-glucose levels are
- We would expect the blood glucose levels to fall between _____ and _____ in 99.7% of patients.
- A normal glucose
range is 65 - 120 mg/dl. What is the probability a patient's blood glucose level falls between these two values?- z1 =
- z2 =
- probability =
- What is the probability that a patient's blood glucose level is greater than 130 mg/dl?
- z =
- probability =
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