An engineer explained the effect of the new rubber compound used in car tires on tire life. explores. As a result of testing 41 tires using this rubber compound, the average lifetime It was seen that 64 units and the standard deviation value was 1.5 units. Rubber compound used Under the assumption that the life of the tires is normal, a. The variance value of the lifetime of the tires in which the new rubber compound is used is 2 unit2 test whether it is at the 0.02 significance level and interpret the result. b. 98% for the average lifetime of the tires where the new rubber compound is used Establish a confidence interval and interpret the result.
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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