Create the Normal Curve with 3 Standard Deviations, then Answer: Info: The mean life of a tire is 30,000 km. The standard deviation is 2000 km. 68% of all tires will have a life between ______km and ______km. 95% of all tires will have a life between ______km and ______km. What percent of the tires will have a life that exceeds 26,000 km?
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.
Create the Normal Curve with 3 Standard Deviations, then Answer:
Info: The mean life of a tire is 30,000 km. The standard deviation is 2000 km.
- 68% of all tires will have a life between ______km and ______km.
- 95% of all tires will have a life between ______km and ______km.
- What percent of the tires will have a life that exceeds 26,000 km?
Solution :
Given :
= 30,000 km
= 2000 km
Normal curve with 3 standard deviations :
Empirical rule for normal distribution :
1. P( ) = 0.68
2. P( ) = 0.95
3. P( ) = 0.997
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
