A random sample of 70 tires showed that the mean mileage per tire was 41,200 mi, with a standard deviation of 4300 mi. (a) Determine the z-score, to the nearest hundredth, for a tire that provided 46,300 mi of wear. z46,300 = ______________ (b) The z-score for one tire was −2.55. What mileage did this tire provide? Round your result to the nearest hundred miles. _______ mi
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.
A random sample of 70 tires showed that the mean mileage per tire was 41,200 mi, with a standard deviation of 4300 mi.
(b) The z-score for one tire was
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