(1 point) Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with u= 111 and o = 27. (a) What proportion of children aged 13 to 15 years old have scores on this test above 97 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.) Answer: 0.695 (b) Enter the score which marks the lowest 30 percent of the distribution. Answer: (c) Enter the score which marks the highest 5 percent of the distribution. Answer.
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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