The company is interested in using control charts to monitor the temperature of its manufacturing process. Compute the upper and lower control limits for the R chart. (Round your answers to three decimal places.) UCL - 1.4058 LCL - 0 Construct the R chart. 2.00 1.75- 1.50 2.00 1.75 1.50- 1.25 * 1.00 2.00 - 2.00 1.75 1.50- 1.25 1.00 L0.75 UCL 1.75 1.50 UCL 1.25 1.00 UCL UCI. 1.25 UCL 0.75 0.50 1.00 - 0.75 0.75 0.50 0.50 0.50 0.25 0.25 0.00 0.25 0.00 0.25 LCL 0.00 LCL. LCL 0.00 LCL 2 4 68 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 2 46 8 10 12 14 16 18 20 Sample Number Sample Number Sample Number Sample Number Compute the upper and lower control limits for the x chart. (Round your answers to three decimal places.) UCL - 95.7 LCL - 95 09 Construct the x chart. 96.25 UCL 96.25 * 96.00 96.25 96.25 * 96.00- 96.00 UCI. 96.00 95.75 UCL 95.75 95.75 95.75 UC 95.50 95.50 95.50 95.50 95.25 95.25 95.00 95.25 95.25 93.00 95.00 95.00 LCL. 94.75 LCL I L.CL. V LCL. 94.75 94.75 94.75 2 4 6 8 10 12 14 16 18 20 2 468 10 12 14 16 18 20 2 4 6 8 10 12 14 16 18 20 2 4 6 810 12 14 16 18 20 Sample Number Sample Number Sample Number Sample Number What conclusions can be made about the quality of the process? The R chart indicates that the process variability is in control v No samples fall outside the R chart control limits. The x chart indicates that the process mean is out of control More than two samples fall x outside the x chart control limits. Sample Range Sample Range Sample Range
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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