The results of a certain medical test are normally distributed with a mean of 123 and a standard deviation of 14. Use the table to find the percentage of people with readings between 116 and 130. -0.9 -0.5 -0.3 z-score Percentile -0.1 46.02 0.1 -1.0 -0.8 -0.7 -0.6 -0.4 -0.2 0.0 15.87 1.0 84.13 18.41 21.19 0.8 24.20 27.43 0.6 30.85 34.46 38.21 42.07 50.00 z-score 0.9 0.7 0.5 0.4 0.3 0.2 0.0 Percentile 81.59 72.57 78.81 75.80 69.15 65.54 61,79 57.93 53.98 50.00 The percentage of people with readings between 116 and 130 is%. (Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
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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