1. Construct the X bar and R bar Chart for the following data. Sample Obs 1 Obs 2 Obs 3 Obs 4 Obs 5 Obs 6 Obs 7 1 20.17 20.48 20.63 20.92 20.41 20.44 20.96 20.06 20.44 20.67 20.02 20.21 20.98 20.26 3 20.30 20.04 20.35 20.43 20.67 20.35 20.06 20.04 20.71 20.28 20.06 20.49 20.33 20.91 20.03 20.75 20.53 20.00 20.59 20.02 20.99 20.02 20.11 20.44 20.03 20.89 20.76 20.86 7 20.43 20.92 20.41 20.09 20.25 20.20 20.23 8. 20.30 20.90 20.29 20.17 20.67 20.58 20.59 9. 20.69 20.64 20.26 20.02 20.95 20.98 20.57 10 20.69 20.79 20.76 20.53 20.49 20.37 20.41 4) 5
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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