A process manufactures ball bearings with a diameters that are normally distributed with mean 25.1 millimeters and standard deviation 0.08 millimeter. (a) What proportion of the diameters are less than 25.0 millimeters? Express your answer in words. (b) What proportion of the diameters are greater than 25.4 millimeters? Express your answer in words. (c) Between what two values are the middle 60% of the diameters? Express your answer in words.
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 process manufactures ball bearings with a diameters that are
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(a) What proportion of the diameters are less than 25.0 millimeters? Express your answer in words.
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(b) What proportion of the diameters are greater than 25.4 millimeters? Express your answer in words.
(c) Between what two values are the middle 60% of the diameters? Express your answer in words.
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