Control limits for an xbar−Chart have been determined as: UCL xbar = 56.4 and LCL xbar = 53.2 1. Sample averages for the most recent five samples, in sequential order, are 53.7, 53.8, 54.7,
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.
Control limits for an xbar−Chart have been determined as:
UCL xbar = 56.4 and LCL xbar = 53.2
1. Sample averages for the most recent five samples, in sequential order, are 53.7, 53.8, 54.7, 55.4, and 56.3. What should be concluded about the process average? Should some action be taken? Why or why not?
2. What would you conclude about the process average if the sample means, in sequential order, were 55.4, 54.9, 56.1, 55.6, and 55.2?
This question is about constructing the X -bar Chart using the Upper Control Limit and the Lower Control Limit that has been given. Thank you.
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