The City Square Grocery and Meat Market has a large meat locker in which a constant temperature of approximately 4.5º C should be maintained. The market manager decides to construct an R-chart to monitor the temperature inside the locker. The manager has one of the market employees take sample temperature readings randomly five times each day for 20 days to gather data for the control chart. Following are the temperature sample observations:

a. Construct an R-chart based on these data using 3σlimits, and plot the 20 sample range values.
b. Does it appear that the temperature is in control according to the criteria established by management?

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Samples Temperature (°C) 7.9 8.9 5.8 6.2 4.2 5.1 4.7 3.2 2.5 5.7 3 4.5 5.2 1.4 0.7 2.6 6.7 5.7 4.2 3.2 3.7 1.8 3.4 4.7 3.9 5.7 4.8 5.4 3.7 6.4 7.0 0.7 3.7 5.3 4.8 6.2 5.4 4.4 5.3 4.8 4.1 5.8 5.3 4.9 4.9 5.7 10 7.1 2.5 2.9 1.8 5.1 11 5.9 6.4 1.9 2.3 3.4 12 4.7 4.7 3.9 2.9 5.3 13 7.4 5.6 6.2 7.1 4.2 14 2.4 3.1 2.3 3.8 4.5 15 4.7 1.3 2.3 1.7 2.7 16 4.2 3.4 3.1 1.2 3.7 17 3.1 4.8 4.6 4.3 5.1 18 5.0 1.3 3.9 7.3 6.5 19 4.9 5.7 3.1 1.9 1.6 20 3.1 4.0 4.1 5.1 3.1 6.