Container23.10.410.310.111.811.010.810.311.411.611.110.911.010.511.310.71410.310.011.910.010.111.411.310.71510.51611.711.410.910.710.911.411.21711.611.110.91819202122232425262710.911.011.511.111.310.810.611.211.511.611.310.911.510.811.411.410.911.211.710.911.311.410.811.311.12930313233343511.311.410.410.411.010.411.710.310.910.69.910.210.79.610.010.610.310.210.410.310.310.910.09.89.8COFFEE(a) Construct an R chart for these data.) Does the R chart indicate that the process is in astate of statistical control? Why? If the R chartindicates the process is not in control, removeout-of-control points, and re-construct the chartwith the remaining data.e) Construct a X chart based on the range for thesedata, Does the X chart indicate that the process isin a state of statistical control? Why?(d) What conclusions can you draw about this process?(e) Construct an s chart for these data.(D Does the s chart indicate that the process is in astate of statistical control? Why? If the s chartindicates the process is not in control, removeout-of-control points, and re-construct the chartwith the remaining data.(e) Construct a X chart based on the standard devia-tion for these data. Does the X chart indicate thatthe process is in a state of statistical control? Why?(h) Compare your results in (e)-(g) with the resultsyou obtained in (a)-(d).(i) From (e)-(g), what conclusions can you drawabout this process? 7.2 A coffee manufacturer imports green coffee beansfrom several countries and suppliers. Beans are usuallyshipped by sea in large containers. Each freighter ismet at the dock as it is unloaded, and before contain-ers of beans are accepted, samples from each con-tainer are drawn and tested. One of the qualitycharacteristics monitored is moisture content. Highmoisture content can be evidence of water seepageinto the container during shipment, which can result inbeans that are contaminated, are fermented, or haveunacceptable levels of mold. The target value for mois-ture is 11.5 percent, and the maximum acceptablevalue is 13.0 percent. Shipments with moisture read-ings above the maximum are rejected. The followingdata represent moisture content for four samplesdrawn from each of 35 containers from one supplier.SAMPLEContainer134.10.710.410.210.3110.910.910.910.310.610.810.310.510.711.110.910.210.710.810.39.74510.610.710.710.710.910.96711.110.410.410.110.310.210.79.10.39.911.11010.010.19.910.31111.29.99.99.81210.910.010.210.01310.210.410.410.8(Continued)

Answered: (a) Construct an R chart for these…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

Container
2
3.
10.4
10.3
10.1
11.8
11.0
10.8
10.3
11.4
11.6
11.1
10.9
11.0
10.5
11.3
10.7
14
10.3
10.0
11.9
10.0
10.1
11.4
11.3
10.7
15
10.5
16
11.7
11.4
10.9
10.7
10.9
11.4
11.2
17
11.6
11.1
10.9
18
19
20
21
22
23
24
25
26
27
10.9
11.0
11.5
11.1
11.3
10.8
10.6
11.2
11.5
11.6
11.3
10.9
11.5
10.8
11.4
11.4
10.9
11.2
11.7
10.9
11.3
11.4
10.8
11.3
11.1
29
30
31
32
33
34
35
11.3
11.4
10.4
10.4
11.0
10.4
11.7
10.3
10.9
10.6
9.9
10.2
10.7
9.6
10.0
10.6
10.3
10.2
10.4
10.3
10.3
10.9
10.0
9.8
9.8
COFFEE
(a) Construct an R chart for these data.
) Does the R chart indicate that the process is in a
state of statistical control? Why? If the R chart
indicates the process is not in control, remove
out-of-control points, and re-construct the chart
with the remaining data.
e) Construct a X chart based on the range for these
data, Does the X chart indicate that the process is
in a state of statistical control? Why?
(d) What conclusions can you draw about this process?
(e) Construct an s chart for these data.
(D Does the s chart indicate that the process is in a
state of statistical control? Why? If the s chart
indicates the process is not in control, remove
out-of-control points, and re-construct the chart
with the remaining data.
(e) Construct a X chart based on the standard devia-
tion for these data. Does the X chart indicate that
the process is in a state of statistical control? Why?
(h) Compare your results in (e)-(g) with the results
you obtained in (a)-(d).
(i) From (e)-(g), what conclusions can you draw
about this process?

7.2 A coffee manufacturer imports green coffee beans
from several countries and suppliers. Beans are usually
shipped by sea in large containers. Each freighter is
met at the dock as it is unloaded, and before contain-
ers of beans are accepted, samples from each con-
tainer are drawn and tested. One of the quality
characteristics monitored is moisture content. High
moisture content can be evidence of water seepage
into the container during shipment, which can result in
beans that are contaminated, are fermented, or have
unacceptable levels of mold. The target value for mois-
ture is 11.5 percent, and the maximum acceptable
value is 13.0 percent. Shipments with moisture read-
ings above the maximum are rejected. The following
data represent moisture content for four samples
drawn from each of 35 containers from one supplier.
SAMPLE
Container
1
3
4.
10.7
10.4
10.2
10.3
1
10.9
10.9
10.9
10.3
10.6
10.8
10.3
10.5
10.7
11.1
10.9
10.2
10.7
10.8
10.3
9.7
4
5
10.6
10.7
10.7
10.7
10.9
10.9
6
7
11.1
10.4
10.4
10.1
10.3
10.2
10.7
9.
10.3
9.9
11.1
10
10.0
10.1
9.9
10.3
11
11.2
9.9
9.9
9.8
12
10.9
10.0
10.2
10.0
13
10.2
10.4
10.4
10.8
(Continued)

Expert Solution

Step 1

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Container	1	2	3	4	max	min	Range
1	10.7	10.4	10.2	10.9	10.9	10.2	max-min=0.7
2	10.9	10.3	10.3	10.6	10.9	10.3	0.6
3	10.9	10.8	10.3	10.5	10.9	10.3	0.6
4	11.1	10.7	10.7	10.8	11.1	10.7	0.4
5	10.9	10.6	10.7	10.3	10.9	10.3	0.6
6	10.2	10.7	10.7	9.7	10.7	9.7	1
7	11.1	10.4	10.9	10.4	11.1	10.4	0.7
8	10.2	10.7	10.9	10.1	10.9	10.1	0.8
9	10.3	9.9	11.1	10.3	11.1	9.9	1.2
10	10	10.1	9.9	10.3	10.3	9.9	0.4
11	11.2	9.9	9.9	9.8	11.2	9.8	1.4
12	10.9	10	10.2	10	10.9	10	0.9
13	10.2	10.4	10.4	10.8	10.8	10.2	0.6
14	10.4	10.3	10.3	10	10.4	10	0.4
15	10.1	10.1	10	10.5	10.5	10	0.5
16	11.4	11.8	11.9	11.7	11.9	11.4	0.5
17	11.3	11	11.6	11.4	11.6	11	0.6
18	10.7	10.8	11.1	10.9	11.1	10.7	0.4
19	10.9	10.3	10.9	10.7	10.9	10.3	0.6
20	11	11.4	11.5	10.9	11.5	10.9	0.6
21	11.5	11.6	11.6	11.4	11.6	11.4	0.2
22	11.1	11.1	11.3	11.2	11.3	11.1	0.2
23	11.3	10.9	10.9	11.4	11.4	10.9	0.5
24	10.8	11	11.5	10.9	11.5	10.8	0.7
25	10.6	10.5	10.8	11.2	11.2	10.5	0.7
26	11.2	11.3	11.4	11.7	11.7	11.2	0.5
27	10.9	10.7	11.3	10.8	11.3	10.7	0.6
28	11.3	11.1	11.4	11.3	11.4	11.1	0.3
29	11	11.7	10.9	11.4	11.7	10.9	0.8
30	10.4	10.3	10.6	10.4	10.6	10.3	0.3
31	9.9	10	10.3	10.4	10.4	9.9	0.5
32	10.2	10.6	10.2	10.3	10.6	10.2	0.4
33	10.7	10.9	10.4	10.3	10.9	10.3	0.6
34	9.6	10	9.8	9.8	10	9.6	0.4
							$\bar{R} = 0.594$