Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Assume that only these six samples are sufficient, and use the data to determine control limits for an R- and an x-chart. Compute the range R and the sample mean x for each sample. (Enter your responses rounded to three decimal places.) Bottle

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 27PFA
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Question
Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects
four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical
quality dimension that determines whether the bottle cap will fit properly. The dimensions (in.) from
the last six samples are
Bottle
Sample
1
2
3
4
1
0.616
0.591
0.591
0.591
23456
0.621
0.598
0.577
0.572
0.591
0.572
0.618
0.572
0.608
577
0.617
0.583
0.620
0.585
0.593
0.587
0.581
0.593
0.594
0.571
Click the icon to view the table of factors for calculating three-sigma limits for the x-chart
and R-chart.
Assume that only these six samples are sufficient, and use the data to determine control limits for
an R- and an x-chart.
Compute the range R and the sample mean x for each sample. (Enter your responses rounded to
three decimal places.)
Bottle
Sample
1
2
3
4
R
X
1
0.616
0.591
0.591
0.591
0.025
0.597
2345
00
0.621
0.598
0.577
0.572
0.049
0.592
0.591
0.572
0.618
0.572
0.046
0.588
0.608
0.577
0.617
0.583
0.040
0.596
0.620
0.585
0.593
0.587
6
0.581
0.593
0.594
0.571
Transcribed Image Text:Aspen Plastics produces plastic bottles to customer order. The quality inspector randomly selects four bottles from the bottle machine and measures the outside diameter of the bottle neck, a critical quality dimension that determines whether the bottle cap will fit properly. The dimensions (in.) from the last six samples are Bottle Sample 1 2 3 4 1 0.616 0.591 0.591 0.591 23456 0.621 0.598 0.577 0.572 0.591 0.572 0.618 0.572 0.608 577 0.617 0.583 0.620 0.585 0.593 0.587 0.581 0.593 0.594 0.571 Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and R-chart. Assume that only these six samples are sufficient, and use the data to determine control limits for an R- and an x-chart. Compute the range R and the sample mean x for each sample. (Enter your responses rounded to three decimal places.) Bottle Sample 1 2 3 4 R X 1 0.616 0.591 0.591 0.591 0.025 0.597 2345 00 0.621 0.598 0.577 0.572 0.049 0.592 0.591 0.572 0.618 0.572 0.046 0.588 0.608 0.577 0.617 0.583 0.040 0.596 0.620 0.585 0.593 0.587 6 0.581 0.593 0.594 0.571
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