Two brands of tyres are tested with the following results: life(in 1000 miles) Brand of tyres X Y 20-25 1 0 25-30 22 24 30-35 64 76 35-40 10 0 40-45 3 0
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.
ILLUSTRATION 22.
Two brands of tyres are tested with the following results:
life(in 1000 miles) Brand of tyres
X Y
20-25 1 0
25-30 22 24
30-35 64 76
35-40 10 0
40-45 3 0
Question 1. Which brand of tyres between x and y have greater average life?
Question 2. Compare the variability and the state of which the brand of tyres would use on your trucks?
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