Snee has measured the thickness of the ears of paint cans. (The ear of a paint can

Snee has measured the thickness of the €œears€ of paint cans. (The €œear€ of a paint can is the tab that secures the lid of the can.) At periodic intervals, samples of five paint cans are taken from a hopper that collects the production from two machines, and the thickness of each ear is measured. The results (in inches × 1000) of 30 such samples are as follows:

(a) Calculate the values of

(b) Use the values of A3 and s to construct an x chart.
(c) Construct an s chart.
(d) Use the values of A2 and R to construct an x chart.
(e) Construct an R chart.
(f) Do the charts indicate that these fill weights are in statistical control?

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Observations 29 36 39 3434 34.4 3.64692 10 29 29 28 32 3129.8 1.64317 4 34 34 39 38 37 36.4 2.30217 5 35 37 33 38 4136.8 3.03315 8 30 29 31 38 29 31. 3.78153 9 34 31 37 39 36 35.4 3.04959 8 30 35 33 40 36 34.8 3.70135 10 28 28 31 3430 30.2 2.48998 6 32 36 38 38 3535.8 2.48998 6 35 30 37 35 3133.6 2.96648 7 35 30 35 38 3534.6 2.88097 8 38 34 35 35 3134.62.50998 7 34 35 33 30 3433.2 .92354 5 40 35 34 33 3535. 2.70185 7 34 35 38 35 3034. 2.880978 35 30 35 29 37 33.2 3.49285 8 40 31 38 35 335.0 4.06202 9 35 36 30 33 3233.2 2.387476 35 34 35 30 36 34.02.3452 6 35 35 3 38 36 35.0 2.54951 7 32 36 36 32 36 34.4 2.19089 4 36 37 32 34 3434.6 .94936 5 29 34 33 73533.6 2.966488 36 36 35 37 37 36.2 0.83666 2 36 30 35 33 3133.0 2.5495 6 35 30 29 38 3533.43.78153 9 3 2 2 5 Observations 35 36 30 34 36 34.2 2.48998 6 35 30 36 29 35 33.0 3.24037 7 38 36 35 3131 34.2 3.11448 7 30 34 40 28 30 32.4 4.77493 12 T, , and R