A manager wishes to build a control chart for a process. A total of five (05) samples are collected with five (05) observations within each sample. The sample means (X-bar) are; 15.36, 14.61,16.36,20.28, and 15.77 respectively. Also, the corresponding ranges are; 10.79, 8.37, 2.81,8.17, and 3.31 respectively. The lower and upper control limits of the x-bar chart are respectively Select one: O a. 18.55, 13.47 O b. 12.60, 20.36 O c. None is correct O d. 16.55, 11.47 O e. 12.40, 19.72
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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