Jamison Kovach Supply Company manufactures paper clips and other office products. Although inexpen-sive, paper clips have provided the firm with a high margin of profitability. Sample size is 200. Results are given for the last10 samples:SAMPLE 1 2 3 4 5 6 7 8 9 10DEFECTIVES 5 7 4 4 6 3 5 6 2 8a) Establish upper and lower control limits for the control chartand graph the data.b) Has the process been in control?c) If the sample size were 100 instead, how would your limits andconclusions change?
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.
Jamison Kovach Supply Company manufactures
paper clips and other office products. Although inexpen-
sive, paper clips have provided the firm with a high margin of
profitability.
10 samples:
SAMPLE 1 2 3 4 5 6 7 8 9 10
DEFECTIVES 5 7 4 4 6 3 5 6 2 8
a) Establish upper and lower control limits for the control chart
and graph the data.
b) Has the process been in control?
c) If the sample size were 100 instead, how would your limits and
conclusions change?
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