A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 123 ounces and a standard deviation of 0.30 ounce. You randomly select 40 cans and carefully measure the contents. The sample mean of the cans is 122.9 ounces. Does the machine need to be reset? Explain your reasoning.
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 machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a
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