A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality-control engineer knows that the bolts coming off the assembly line have mean length of 9 cm with a standard deviation of 0.10 cm. For what lengths will a bolt be destroyed? Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to one decimal place as needed.) O A. A bolt will be destroyed if the length is greater than cm. O B. A bolt will be destroyed if the length is less than cm. O C. A bolt will be destroyed if the length is between cm and cm. O D. A bolt will be destroyed if the length is less than cm or greater than cm.
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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