Eagletrons are all-electric automobiles produced by Mogul Motors, Inc. One of the concerns of Mogul Motors is that the Eagletrons be capable of achieving appropriate maximum speeds. To monitor this, Mogul executives take samples of ten Eagletrons at a time. For each sample, they determine the average maximum speed and the range of the maximum speeds within the sample. They repeat this with 35 samples to obtain 35 sample means and 35 ranges. They find that the average sample mean is 103.50 miles per hour, and the average range is 4.00 miles per hour. Using these results, the executives decide to establish an R-chart. They would like this chart to be established so that when it shows that the range of a sample is not within the control limits, there is only approximately a 0.0027 probability that this is due to natural variation. The control limits for the chart based on the above requirement for the given information are: UCL Subscript Upper R overbar = nothing miles per hour (round the reponse to three decimal places). amison Kovach Supply Company manufactures paper clips and other office products. Although inexpensive, paper clips have provided the firm with a high margin of profitability. Sample size is 200 . Results are given for the last 10 samples.                                                                                                                                                    Sample 1 2 3 4 5 6 7 8 9 10 Defectives 4 8 3 5 6 5 4 5 2 11 The type of control chart that is best to monitor this process is ▼ c minus chart x overbar minus chart p minus chart. Eagletrons are all-electric automobiles produced by Mogul Motors, Inc. One of the concerns of Mogul Motors is that the Eagletrons be capable of achieving appropriate maximum speeds. To monitor this, Mogul executives take samples of ten Eagletrons at a time. For each sample, they determine the average maximum speed and the range of the maximum speeds within the sample. They repeat this with 35 samples to obtain 35 sample means and 35 ranges. They find that the average sample mean is 103.50 miles per hour, and the average range is 4.00 miles per hour. Using these results, the executives decide to establish an R-chart. They would like this chart to be established so that when it shows that the range of a sample is not within the control limits, there is only approximately a 0.0027 probability that this is due to natural variation. The control limits for the chart based on the above requirement for the given information are: UCL Subscript Upper R overbar = nothing miles per hour (round the reponse to three decimal places). amison Kovach Supply Company manufactures paper clips and other office products. Although inexpensive, paper clips have provided the firm with a high margin of profitability. Sample size is 200 . Results are given for the last 10 samples.                                                                                                                                                    Sample 1 2 3 4 5 6 7 8 9 10 Defectives 4 8 3 5 6 5 4 5 2 11 The type of control chart that is best to monitor this process is ▼ c minus chart x overbar minus chart p minus chart.

It is given that :
Sample size = n = 10 Eagletrons
Average Range = Rbar = 4 miles/ hour
Following are the values of Constants as derived from standard table for X bar and Rbar chart :
D3 = 0.223
D4 = 1.777
Therefore ,
Upper Control Limit for R chart = D4 x Rbar = 1.777 x 4 = 7.108 miles / hour
Lower Control Limit for R chart = D3 x Rbar = 0.223 x 4 = 0.892 miles/ hour
X bar chart is used when there is a set of fixed number of observations against each sample and there are number of samples.
C Chart is used when number of defects in each item for a set of items are provided and one is required to establish control limits for number of defects in items ( note: Control limits are to be established for “number of defects in an item” and not “number of defective items in a sample”)
P chart is used when number of defectives against each sample are presented and one needs to find out control limits for number of defectives / proportion of defectives in each sample ( note: p chart is used to establish control limits for number / proportion of defectives in a sample and not number of defects in an item)
Presented here is “Number of defectives” against 10samples. Therefore appropriate control chart will be p chart
THE APPROPRIATE CONTROL CHART THAT IS BEST TO MONITOR THISPROCESS IS p CHART
 
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