(Operations Management) The following data (in milliliters) are the amount of liquid in the detergent bottles...

(Operations Management) The following data (in milliliters) are the amount of liquid in the detergent bottles on an automated filling machine. Develop sample mean and sample range control charts using the first 10 samples. Is the process in control? Use the control charts developed in part a to decide if the 11th sample (also given below) indicates an out-of-control situation.

Sample	Obs 1	Obs 2	Obs 3	Obs 4
1	1,010	991	985	986
2	995	996	1,009	994
3	990	1,003	1,015	1,008
4	1,015	1,020	1,009	998
5	1,013	1,019	1,005	993
6	994	1,001	994	1,005
7	989	992	982	1,020
8	1,001	986	996	996
9	1,006	989	1,005	1,007
10	992	1,007	1,006	979
11	996	1,006	997	989

Solutions

Expert Solution

A2,D3 and D4 are control chart constants

Formula

Sample 11 has sample mean of (996+1006+997+989)/4 = 997 and range of 1006-989 = 17. So sample 11 shows the process is in-control

keosha answered 1 year ago

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