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6.3 The time to replace vehicle wiper blades at a service center was monitored u

ID: 407899 • Letter: 6

Question

6.3

The time to replace vehicle wiper blades at a service center was monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed:




FACTORS FOR R CHARTS


Using the factors in the above table, determine upper and lower limits for mean and range charts. (Do not round intermediate calculations. Round your mean value to 3 decimal places and range value to 4 decimal places.)



The time to replace vehicle wiper blades at a service center was monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed:

Explanation / Answer

a.

b.

Yes, process is under control because data collected from samples are within the control limits of mean and range.

Sample Mean Range Average Center Lower Control Limil Upper control Limil Range Center Lower Control Limit Upper Control Limit 1 3.06 0.42 3.06 3.1 3.019 3.181 0.42 0.45 0.1845 0.7155 2 3.15 0.5 3.15 3.1 3.019 3.181 0.5 0.45 0.1845 0.7155 3 3.11 0.41 3.11 3.1 3.019 3.181 0.41 0.45 0.1845 0.7155 4 3.13 0.46 3.13 3.1 3.019 3.181 0.46 0.45 0.1845 0.7155 5 3.06 0.46 3.06 3.1 3.019 3.181 0.46 0.45 0.1845 0.7155 6 3.09 0.45 3.09 3.1 3.019 3.181 0.45 0.45 0.1845 0.7155 Average 3.1 0.45 A2= 0.18 D3 = 0.41 D4 = 1.59 Upper limit for mean 3.181   Lower limit for mean 3.019   Upper limit for range 0.7155   Lower limit for range 0.1845