Question: The time to make beds at a motel should fall into an agreed-on range of times. A sample of four maids was selected, and the

The time to make beds at a motel should fall into an agreed-on range of times. A sample of four maids was selected, and the time needed to make a bed was observed on three different occasions:

Service time in seconds

Maid Sample 1 Sample 2 Sample 3
Alex 122 90 152
Marie 130 111 140
Linda 200 180 175
Ann 163 155 141

(i) Determine the upper and lower control

limits for an X-Bar chart and R-chart

with a sample size of four.

(ii) After the control chart was established a sample of four observations had the following times in seconds: 180, 219, 195, and 195. Is corrective action needed?

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