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X R Control Chart for Large Hotel in a Resort Area

I have one more control chart which is a X R Chart. Prepare the chart and any information that should go along with it such as trends, runs, or is it out of control. (UCL, LCL)

A large hotel in a resort area has a housekeeping staff who clean and prepare all of the hotel's guest rooms daily. In an effort to improve service through reducing variation in the time required to clean and prepare a room, a series of measurements is taken of the times to service rooms in preparation for the hotel.

Room 1 Room 2 Room 3 Room 4 Room 5
Day 1 15.6 14.3 17.7 14.3 15.0
Day 2 15.0 14.8 16.8 16.9 17.4
Day 3 16.4 15.1 15.7 17.3 16.6
Day 4 14.2 14.8 17.3 15.0 16.4
Day 5 16.4 16.3 17.6 17.9 14.9
Day 6 14.9 17.2 17.2 15.3 14.1
Day 7 17.9 17.9 14.7 17.0 14.5
Day 8 14.0 17.7 16.9 14.0 14.9
Day 9 17.6 16.5 15.3 14.5 15.1
Day 10 14.6 14.0 14.7 16.9 14.2
Day 11 14.6 15.5 15.9 14.8 14.2
Day 12 15.3 15.3 15.9 15.0 17.8
Day 13 17.4 14.9 17.7 16.6 14.7
Day 14 15.3 16.9 17.9 17.2 17.5
Day 15 14.8 15.1 16.6 16.3 14.5
Day 16 16.1 14.6 17.5 16.9 17.7
Day 17 14.2 14.7 15.3 15.7 14.3
Day 18 14.6 17.2 16.0 16.7 16.3
Day 19 15.9 16.5 16.1 15.0 17.8
Day 20 16.2 14.8 14.8 15.0 15.3
Day 21 16.3 15.3 14.0 17.4 14.5
Day 22 15.0 17.6 14.5 17.5 17.8
Day 23 16.4 15.9 16.7 15.7 16.9
Day 24 16.6 15.1 14.1 17.4 17.8
Day 25 17.0 17.5 17.4 16.2 17.9.

Solution Preview

Please see attached spreadsheet.

It has a tab for the data, r chart and x bar ...

Solution Summary

The solution discusses cleaning time for rooms in the X R control chart for a large hotel in a resort area.

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