On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 115 and a standard deviation of 14. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected person's IQ is over 84. Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 2% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places. d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places. Q1: Q3: IQR:
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.
please solve all ive wasted almost 10 questions on this just for it to be wrong. On a planet far far away from Earth, IQ of the ruling species is
a. What is the distribution of X? X ~ N(,)
b. Find the
c. A school offers special services for all children in the bottom 2% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places.
d. Find the Inter
Q1:
Q3:
IQR:
Given
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 115 and a standard deviation of 14. Suppose one individual is randomly chosen.
Let X = IQ of an individual.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images