7. For women aged 18 to 24, systolic blood pressure (in mmHg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1. (a) If a woman between the ages of 18 and 24 is randomly selected, what is the probability that her blood pressure is above 120? If 12 women in that age bracket are selected at random, what is the probability that their mean systolic blood pressure is greater than 120? (b)
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.
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