Mary Peterson is in charge of preparing blended flour for exotic bread making. The process is to take two different types of flour and mix them together in order to achieve high-quality breads. For one of the products, flour A and flour B are mixed together. The package of flour A comes from a packing process that has a population mean weight of 8 ounces with a population variance of 0.04. The package of flour B has a population mean weight of 8 ounces and a population variance of 0.06. The package weights have a correlation of 0.40. The A and B packages are mixed together to obtain a 16-ounce package of special exotic flour. Every 60 minutes a random sample of four packages of exotic flour is selected from the process, and the mean weight for the four packages is computed. Prepare a 99% acceptance interval for a quality-control chart for the sample means from the sample of four packages. Show all your work and explain your reasoning. Explain how this acceptance chart would be used to ensure that the package weights continue to meet the standard.
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.
Mary Peterson is in charge of preparing blended flour for exotic bread making. The process is to take two different types of flour and mix them together in order to achieve high-quality breads. For one of the products, flour A and flour B are mixed together. The package of flour A comes from a packing process that has a population
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