Question
In: Statistics and Probability
Given the following data, construct a three-sigma range control chart. Day of Sample Sample Values Saturday...
Given the following data, construct a three-sigma range control chart.
| Day of Sample | Sample Values |
| Saturday | 22,19,20 |
| Sunday | 21,20,17 |
| Monday | 16,17,18 |
| Tuesday | 20,16,21 |
| Wednesday | 23,20,20 |
| Thursday | 19,16,21 |
a. If Friday's results are 15,14,21 is the process in control?
b.Construct a three-sigma means control chart and determine if the process is still in control on Friday.
Solutions
Expert Solution
Result:
Given the following data, construct a three-sigma range control chart.
|
Day of Sample |
Sample Values |
|
Saturday |
22,19,20 |
|
Sunday |
21,20,17 |
|
Monday |
16,17,18 |
|
Tuesday |
20,16,21 |
|
Wednesday |
23,20,20 |
|
Thursday |
19,16,21 |
a. If Friday's results are 15,14,21 is the process in control?
|
Quality Control Process Charts |
|||||
|
Sample size |
3 |
||||
|
Number of samples |
6 |
||||
|
Mean |
Range |
||||
|
Upper Control Limit, UCL |
22.97 |
9.44 |
|||
|
Center |
19.22 |
3.67 |
|||
|
Lower Control Limit, LCL |
15.47 |
0.00 |
|||
Range for Friday is 21-14=7 is within the control limits. Process is in control
b.Construct a three-sigma means control chart and determine if the process is still in control on Friday.
Mean for Friday is 16.67 is within the control limits. Process is in control
orchestra answered 2 years agoRelated Solutions
Given the data below, what is the upper control limit for the Moving Range control chart?...
Given the data below, what is the upper control limit for the
Moving Range control chart? Please enter your answer with at least
4 significant digits.
Data:
Observation
132.4654
118.9743
124.6528
130.3063
144.1334
118.4584
135.1793
115.2477
138.6022
104.4394
128.8716
133.7959
113.2013
120.4394
142.4859
123.592
135.9269
123.5473
139.3181
138.444
135.2332
125.4248
123.4138
138.3623
120.3414
126.7968
126.2955
138.4302
133.506
115.1217
119.105
136.3829
142.9304
146.3562
115.0906
147.2637
143.7961
140.0805
For following data: a. Construct an R-chart for this process. b. Construct an X-bar chart for...
For following data:
a. Construct an R-chart for this process.
b. Construct an X-bar chart for this process.
c. Does the process appear to be in control? Why or why not?
d. Why must the R chart be read before the x-chart?
Hour
Sample 1
Sample 2
Sample 3
Sample 4
Sample 5
Sample 6
Sample 7
Sample 8
1
98.2706
98.82376
101.8175
100.1819
102.9594
101.165
95.25957
98.97423
2
100.7166
101.8866
98.56813
98.77126
101.8273
98.20298
101.6975
99.63706
3
98.9922...
Given the sample data. x: Given the sample data. x: 23, 17,15,32,25 (a) Find the range....
Given the sample data.
x: Given the sample data.
x: 23, 17,15,32,25
(a)
Find the range. (Enter an exact number.)
(b)
Verify that Σx = 112 and Σx2 =
2,692. (For each answer, enter an exact number.)
Σx =
Σx2 =
(c)
Use the results of part (b) and appropriate computation formulas
to compute the sample variance s2 and sample
standard deviation s. (For each answer, enter a number.
Round your answers to two decimal places.)
s2 =
s = ...
1) For the following data values below, construct a 90% confidence interval if the sample mean...
1) For the following data values below, construct a 90%
confidence interval if the sample mean is known to be 0.719 and the
standard deviation is 0.366. (Round to the nearest thousandth)
(Type your answer in using parentheses! Use a comma when inputing
your answers! Do not type any unnecessary spaces! List your answers
in ascending order!) for example: (0.45,0.78) 0.56, 0.75, 0.10,
0.95, 1.25, 0.54, 0.88
2) For the following data values below, construct a 98%
confidence interval if...
Given the following sample data, calculate the range, variance and standard deviation by hand:
Given the following sample data, calculate the range, variance
and standard deviation by hand: 3, -6, 2, 0, -9, 15, 11,
7.
what is the type 1 error of an x bar chart with 1 - sigma control...
what is the type 1 error of an x bar chart with 1 - sigma
control limits?
what is the type 1 error of an x bar chart with 2 - sigma
control limits?
what is the type 1 error of an x bar chart with 3 - sigma
control limits?
what is the type 1 error of an x bar chart with 4 - sigma
control limits?
The following sample values represent service times in minutes. For the R-Chart, what are the values...
The following sample values represent service times in minutes.
For the R-Chart, what are the values of UCLR and
LCLR?
Sample #
Observ. 1
Observ. 2
Observ. 3
Observ. 4
Observ. 5
1
10.1
10.6
9.8
9.9
10.9
2
9.7
9.5
10.3
9.9
10.5
3
10.1
10.7
9.2
10.1
10.1
4
9.9
9.8
10.5
10.4
10.1
5
10.4
10.1
10.9
9.9
10.3
Group of answer choices
2.2419: 0
10.7596: 9.5364
10.7596: 2.2419
1: 0
9.5364: 1
Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this...
Refer to Table S6.1 - Factors for Computing Control Chart Limits
(3 sigma)
LOADING...
for this problem.
Sampling
44
pieces of precision-cut wire (to be used in computer assembly)
every hour for the past 24 hours has produced the following
results:
Hour
Bold x overbarx
R
Hour
Bold x overbarx
R
Hour
Bold x overbarx
R
Hour
Bold x overbarx
R
1
3.153.15 "
0.650.65 "
7
3.053.05 "
0.580.58 "
13
3.113.11 "
0.800.80 "
19
4.514.51 "...
Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this...
Refer to Table S6.1 - Factors for Computing Control Chart Limits
(3 sigma) LOADING... for this problem. Sampling 4 pieces of
precision-cut wire (to be used in computer assembly) every hour
for the past 24 hours has produced the following results:
Hour Bold x overbar R Hour Bold x overbar R Hour Bold x overbar R
Hour Bold x overbar R 1 3.15" 0.65" 7 2.95" 0.58" 13 3.11"
0.80" 19 3.41" 1.66" 2 3.10 1.18 8 2.75 1.08 14...
Given the sample data. x: 21 19 15 30 27 (a) Find the range. Range =...
Given the sample data.
x:
21
19
15
30
27
(a) Find the range.
Range = 15
(b) Verify that Σx = 112 and Σx2 =
2,656.
Σx
=
Σx2
=
(c) Use the results of part (b) and appropriate computation
formulas to compute the sample variance s2 and
sample standard deviation s. (Round your answers to two
decimal places.)
s2
=
s
=
(d) Use the defining formulas to compute the sample variance
s2 and sample standard deviation s....
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