Six
samples of\u00a0n\u00a0= 20 observations have been obtained and the
sample means and ranges computed: <\/p>\n
Sample <\/p>\n
Mean <\/p>\n
Range <\/p>\n
Sample <\/p>\n
Mean <\/p>\n
Range <\/p>\n
1 <\/p>\n
3.06 <\/p>\n
.42 <\/p>\n
4 <\/p>\n
3.13 <\/p>\n
.46 <\/p>\n
2 <\/p>\n
3.15 <\/p>\n
.38 <\/p>\n
5 <\/p>\n
3.06 <\/p>\n
.46 <\/p>\n
3 <\/p>\n
3.11 <\/p>\n
.41 <\/p>\n
6 <\/p>\n
3.09 <\/p>\n
.45 <\/p>\n
Factors for three-sigma control limits for\u00a0and\u00a0R\u00a0charts <\/p>\n
FACTORS FOR
R CHARTS <\/p>\n
Number
of Observations in Subgroup,n <\/p>\n
Factor
for
\u00a0Chart,A2 <\/p>\n
Lower
Control Limit,D3 <\/p>\n
Upper
Control Limit,D4 <\/p>\n
2
\u00a0 <\/p>\n
1.88 <\/p>\n
\u00a00 <\/p>\n
3.27 <\/p>\n
3
\u00a0 <\/p>\n
1.02 <\/p>\n
\u00a00 <\/p>\n
2.57 <\/p>\n
4
\u00a0 <\/p>\n
0.73 <\/p>\n
\u00a00 <\/p>\n
2.28 <\/p>\n
5
\u00a0 <\/p>\n
0.58 <\/p>\n
\u00a00 <\/p>\n
2.11 <\/p>\n
6
\u00a0 <\/p>\n
0.48 <\/p>\n
\u00a00 <\/p>\n
2.00 <\/p>\n
7
\u00a0 <\/p>\n
0.42 <\/p>\n
\u00a00.08 <\/p>\n
1.92 <\/p>\n
8
\u00a0 <\/p>\n
0.37 <\/p>\n
\u00a00.14 <\/p>\n
1.86 <\/p>\n
9
\u00a0 <\/p>\n
0.34 <\/p>\n
\u00a00.18 <\/p>\n
1.82 <\/p>\n
10
\u00a0 <\/p>\n
0.31 <\/p>\n
\u00a00.22 <\/p>\n
1.78 <\/p>\n
11
\u00a0 <\/p>\n
0.29 <\/p>\n
\u00a00.26 <\/p>\n
1.74 <\/p>\n
12
\u00a0 <\/p>\n
0.27 <\/p>\n
\u00a00.28 <\/p>\n
1.72 <\/p>\n
13
\u00a0 <\/p>\n
0.25 <\/p>\n
\u00a00.31 <\/p>\n
1.69 <\/p>\n
14
\u00a0 <\/p>\n
0.24 <\/p>\n
\u00a00.33 <\/p>\n
1.67 <\/p>\n
15
\u00a0 <\/p>\n
0.22 <\/p>\n
\u00a00.35 <\/p>\n
1.65 <\/p>\n
16
\u00a0 <\/p>\n
0.21 <\/p>\n
\u00a00.36 <\/p>\n
1.64 <\/p>\n
17
\u00a0 <\/p>\n
0.20 <\/p>\n
\u00a00.38 <\/p>\n
1.62 <\/p>\n
18
\u00a0 <\/p>\n
0.19 <\/p>\n
\u00a00.39 <\/p>\n
1.61 <\/p>\n
19
\u00a0 <\/p>\n
0.19 <\/p>\n
\u00a00.40 <\/p>\n
1.60 <\/p>\n
20
\u00a0 <\/p>\n
0.18 <\/p>\n
\u00a00.41 <\/p>\n
1.59 <\/p>\n
a. <\/p>\n
Using the factors in the above
table, determine upper and lower limits for mean and range charts.(Round your intermediate calculations and final answers to
4 decimal places.) <\/p>\n
\u00a0Upper limit for mean <\/p>\n
\u00a0Lower limit for mean <\/p>\n
\u00a0Upper limit for range <\/p>\n
\u00a0Lower limit for range <\/p>\n
b. <\/p>\n
Is the process in control? <\/p>\n
Yes <\/p>\n
No <\/p>\n
Problem 10-4 <\/p>\n
Computer upgrades have a nominal
time of 80 minutes. Samples of five observations each have been taken, and
the results are as listed. <\/p>\n
SAMPLE <\/p>\n
1 <\/p>\n
2 <\/p>\n
3 <\/p>\n
4 <\/p>\n
5 <\/p>\n
6 <\/p>\n
79.2 <\/p>\n
80.5 <\/p>\n
79.6 <\/p>\n
78.9 <\/p>\n
80.5 <\/p>\n
79.7 <\/p>\n
78.8 <\/p>\n
78.7 <\/p>\n
79.6 <\/p>\n
79.4 <\/p>\n
79.6 <\/p>\n
80.6 <\/p>\n
80.0 <\/p>\n
81.0 <\/p>\n
80.4 <\/p>\n
79.7 <\/p>\n
80.4 <\/p>\n
80.5 <\/p>\n
78.4 <\/p>\n
80.4 <\/p>\n
80.3 <\/p>\n
79.4 <\/p>\n
80.8 <\/p>\n
80.0 <\/p>\n
80.2 <\/p>\n
80.1 <\/p>\n
80.8 <\/p>\n
80.6 <\/p>\n
78.8 <\/p>\n
81.1 <\/p>\n
Factors for three-sigma control
limits for\u00a0and\u00a0R\u00a0charts <\/p>\n
FACTORS FOR\u00a0R\u00a0CHARTS <\/p>\n
Number
of Observations in Subgroup,n <\/p>\n
Factor
for
\u00a0Chart,A2 <\/p>\n
Lower
Control Limit,D3 <\/p>\n
Upper
Control Limit,D4 <\/p>\n
2
\u00a0 <\/p>\n
1.88 <\/p>\n
\u00a00 <\/p>\n
3.27 <\/p>\n
3
\u00a0 <\/p>\n
1.02 <\/p>\n
\u00a00 <\/p>\n
2.57 <\/p>\n
4
\u00a0 <\/p>\n
0.73 <\/p>\n
\u00a00 <\/p>\n
2.28 <\/p>\n
5
\u00a0 <\/p>\n
0.58 <\/p>\n
\u00a00 <\/p>\n
2.11 <\/p>\n
6
\u00a0 <\/p>\n
0.48 <\/p>\n
\u00a00 <\/p>\n
2.00 <\/p>\n
7
\u00a0 <\/p>\n
0.42 <\/p>\n
\u00a00.08 <\/p>\n
1.92 <\/p>\n
8
\u00a0 <\/p>\n
0.37 <\/p>\n
\u00a00.14 <\/p>\n
1.86 <\/p>\n
9
\u00a0 <\/p>\n
0.34 <\/p>\n
\u00a00.18 <\/p>\n
1.82 <\/p>\n
10
\u00a0 <\/p>\n
0.31 <\/p>\n
\u00a00.22 <\/p>\n
1.78 <\/p>\n
11
\u00a0 <\/p>\n
0.29 <\/p>\n
\u00a00.26 <\/p>\n
1.74 <\/p>\n
12
\u00a0 <\/p>\n
0.27 <\/p>\n
\u00a00.28 <\/p>\n
1.72 <\/p>\n
13
\u00a0 <\/p>\n
0.25 <\/p>\n
\u00a00.31 <\/p>\n
1.69 <\/p>\n
14
\u00a0 <\/p>\n
0.24 <\/p>\n
\u00a00.33 <\/p>\n
1.67 <\/p>\n
15
\u00a0 <\/p>\n
0.22 <\/p>\n
\u00a00.35 <\/p>\n
1.65 <\/p>\n
16
\u00a0 <\/p>\n
0.21 <\/p>\n
\u00a00.36 <\/p>\n
1.64 <\/p>\n
17
\u00a0 <\/p>\n
0.20 <\/p>\n
\u00a00.38 <\/p>\n
1.62 <\/p>\n
18
\u00a0 <\/p>\n
0.19 <\/p>\n
\u00a00.39 <\/p>\n
1.61 <\/p>\n
19
\u00a0 <\/p>\n
0.19 <\/p>\n
\u00a00.40 <\/p>\n
1.60 <\/p>\n
20
\u00a0 <\/p>\n
0.18 <\/p>\n
\u00a00.41 <\/p>\n
1.59 <\/p>\n
a. <\/p>\n
Using factors from
above\u00a0table, determine upper and lower control limits for mean and range
charts.(Round your intermediate calculations and
final\u00a0answers to 2 decimal places. Leave no cells blank – be certain to
enter “0” wherever required.) <\/p>\n
\u00a0Mean
Chart <\/p>\n
\u00a0Range
Chart <\/p>\n
\u00a0UCL <\/p>\n
\u00a0LCL <\/p>\n
b. <\/p>\n
Decide if the process is in
control. <\/p>\n
Yes <\/p>\n
No <\/p>\n
Problem 10-6 <\/p>\n
A
medical facility does MRIs for sports injuries. Occasionally a test yields
inconclusive results and must be repeated. Using the following sample data
and\u00a0n\u00a0= 192. <\/p>\n
\u00a0
\u00a0 <\/p>\n
SAMPLE <\/p>\n
\u00a0 <\/p>\n
1 <\/p>\n
2 <\/p>\n
3 <\/p>\n
4 <\/p>\n
5 <\/p>\n
6 <\/p>\n
7 <\/p>\n
8 <\/p>\n
9 <\/p>\n
10 <\/p>\n
11 <\/p>\n
12 <\/p>\n
13 <\/p>\n
\u00a0Number of
retests <\/p>\n
1 <\/p>\n
1 <\/p>\n
2 <\/p>\n
0 <\/p>\n
2 <\/p>\n
1 <\/p>\n
1 <\/p>\n
0 <\/p>\n
2 <\/p>\n
9 <\/p>\n
4 <\/p>\n
2 <\/p>\n
1 <\/p>\n
\u00a0 <\/p>\n
a. <\/p>\n
Determine
the upper and lower control limits for the fraction of retests using
two-sigma limits.\u00a0(Do not round intermediate calculations. Round your
final\u00a0answers to 4 decimal places. Leave no cells blank – be certain to
enter “0” wherever required.) <\/p>\n
\u00a0 <\/p>\n
\u00a0UCL <\/p>\n
\u00a0LCL <\/p>\n
\u00a0 <\/p>\n
b. <\/p>\n
Is the process in
control? <\/p>\n
Yes <\/p>\n
No <\/p>\n
Problem 10-7 <\/p>\n
The postmaster of a small western
town receives a certain number of complaints each day about mail delivery. <\/p>\n
DAY <\/p>\n
1
\u00a0 <\/p>\n
2
\u00a0 <\/p>\n
3
\u00a0 <\/p>\n
4
\u00a0 <\/p>\n
5
\u00a0 <\/p>\n
6
\u00a0 <\/p>\n
7
\u00a0 <\/p>\n
8
\u00a0 <\/p>\n
9
\u00a0 <\/p>\n
10
\u00a0 <\/p>\n
11
\u00a0 <\/p>\n
12
\u00a0 <\/p>\n
13
\u00a0 <\/p>\n
14
\u00a0 <\/p>\n
\u00a0Number of complaints <\/p>\n
4
\u00a0 <\/p>\n
12
\u00a0 <\/p>\n
15
\u00a0 <\/p>\n
8
\u00a0 <\/p>\n
9
\u00a0 <\/p>\n
6
\u00a0 <\/p>\n
5
\u00a0 <\/p>\n
13
\u00a0 <\/p>\n
14
\u00a0 <\/p>\n
7
\u00a0 <\/p>\n
6
\u00a0 <\/p>\n
4
\u00a0 <\/p>\n
2
\u00a0 <\/p>\n
10
\u00a0 <\/p>\n
a. <\/p>\n
Determine two-sigma control limits
using the above data.\u00a0(Round your
intermediate calculations to 4 decimal places and\u00a0final\u00a0answers to
3 decimal places. Leave no cells blank – be certain to enter “0”
wherever required.) <\/p>\n
\u00a0UCL <\/p>\n
\u00a0LCL <\/p>\n
b. <\/p>\n
Is the process in control? <\/p>\n
No <\/p>\n
Yes <\/p>\n
Problem 10-8 <\/p>\n
Given the following data for the
number of defects per spool of cable. <\/p>\n
OBSERVATION <\/p>\n
1
\u00a0 <\/p>\n
2
\u00a0 <\/p>\n
3
\u00a0 <\/p>\n
4
\u00a0 <\/p>\n
5
\u00a0 <\/p>\n
6
\u00a0 <\/p>\n
7
\u00a0 <\/p>\n
8
\u00a0 <\/p>\n
9
\u00a0 <\/p>\n
10
\u00a0 <\/p>\n
11
\u00a0 <\/p>\n
12
\u00a0 <\/p>\n
13
\u00a0 <\/p>\n
14
\u00a0 <\/p>\n
\u00a0Number of defects <\/p>\n
1
\u00a0 <\/p>\n
3
\u00a0 <\/p>\n
1
\u00a0 <\/p>\n
0
\u00a0 <\/p>\n
1
\u00a0 <\/p>\n
3
\u00a0 <\/p>\n
2
\u00a0 <\/p>\n
0
\u00a0 <\/p>\n
2
\u00a0 <\/p>\n
4
\u00a0 <\/p>\n
3
\u00a0 <\/p>\n
1
\u00a0 <\/p>\n
2
\u00a0 <\/p>\n
0
\u00a0 <\/p>\n
a. <\/p>\n
Determine three-sigma control
limits using the above data.\u00a0(Do not round
intermediate calculations. Round your\u00a0final\u00a0answers to 2 decimal
places. Leave no cells blank – be certain to enter “0” wherever
required.) <\/p>\n
\u00a0UCL <\/p>\n
\u00a0LCL <\/p>\n
b. <\/p>\n
Is the process in control? <\/p>\n
Yes <\/p>\n
No <\/p>\n","protected":false},"excerpt":{"rendered":"
Six samples of\u00a0n\u00a0= 20 observations have been obtained and the sample means and ranges computed: Sample Mean Range Sample Mean Range 1 3.06 .42 4 3.13 .46 2 3.15 .38 5 3.06 .46 3 3.11 .41 6 3.09 .45 Factors for three-sigma control limits for\u00a0and\u00a0R\u00a0charts FACTORS FOR R CHARTS Number of Observations in Subgroup,n Factor […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[15],"class_list":["post-17231","post","type-post","status-publish","format-standard","hentry","category-research-paper-writing","tag-business"],"_links":{"self":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/17231","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/comments?post=17231"}],"version-history":[{"count":0,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/17231\/revisions"}],"wp:attachment":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/media?parent=17231"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/categories?post=17231"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/tags?post=17231"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}