Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 4th Sem New 2142905 Statistical Quality Control And Textile Costing Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2142905 Date: 12/12/2019
Subject Name: Statistical Quality Control & Textile Costing
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Define the term: 1. Mode 2. PMD 3. Coefficient of variation 03
(b) The following table shows test results pertaining to yarn count.
Test No. 1 2 3 4 5 6 7 8
Count 24 20 18 21 22 23 19 20
Find the quartile deviation.
04
(c) Following are the results of the fabric strength (in 10 gm) obtained from the
samples of two different fabrics.
Fabric A 22.0 21.5 22.8 21.0 23.0 20.9 21.6 22.0 22.8 21.2
Fabric B 22.3 21.6 22.0 22.1 22.0 22.3 21.8 21.8 21.6 21.8
Find out using above data which fabric is more consistent in terms of the
strength.
07
Q.2 (a) Describe various types of scatter diagram. 03
(b) Find out D7 & P35 for the following frequency distribution.
Class 30-34 35-39 40-44 45-49 50-54 55-59 60-64
frequency 3 5 12 18 14 6 2
04
(c) An experiment was conducted to study the effect of a dye produced by four
different companies (A, B, C, and D) on the strength of the fabric and following
results were obtained.
Dye
A B C D
Fabric
strength
250 225 250 300
275 250 275 250
275 225 250 275
300 300 250 300
Carry out the analysis (One way ANOVA) of the above data and write the
conclusion. (Table value of F for 3, 12 degree of freedom at 5% level= 3.49)
07
OR
(c) A 4 X 4 LSD was conducted to study the effects of four different dyes A, B, C,
and D on the strength of the fabric. To remove the variation of the laboratory and
the operators conduced the experiment in four different laboratories and the
results obtained are as follows:
Lab I II III IV
I 66 (B) 74 (D) 70 (A) 72 (C)
II 75 (D) 68 (A) 68 (C) 65 (B)
III 69 (A) 72 (C) 63 (B) 75 (D)
IV 70 (C) 65 (B) 74 (D) 70 (A)
Carry out analysis of the above data and write the conclusion.
(Table value of F for 3, 6 degree of freedom at 5% level = 4.76)
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2142905 Date: 12/12/2019
Subject Name: Statistical Quality Control & Textile Costing
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Define the term: 1. Mode 2. PMD 3. Coefficient of variation 03
(b) The following table shows test results pertaining to yarn count.
Test No. 1 2 3 4 5 6 7 8
Count 24 20 18 21 22 23 19 20
Find the quartile deviation.
04
(c) Following are the results of the fabric strength (in 10 gm) obtained from the
samples of two different fabrics.
Fabric A 22.0 21.5 22.8 21.0 23.0 20.9 21.6 22.0 22.8 21.2
Fabric B 22.3 21.6 22.0 22.1 22.0 22.3 21.8 21.8 21.6 21.8
Find out using above data which fabric is more consistent in terms of the
strength.
07
Q.2 (a) Describe various types of scatter diagram. 03
(b) Find out D7 & P35 for the following frequency distribution.
Class 30-34 35-39 40-44 45-49 50-54 55-59 60-64
frequency 3 5 12 18 14 6 2
04
(c) An experiment was conducted to study the effect of a dye produced by four
different companies (A, B, C, and D) on the strength of the fabric and following
results were obtained.
Dye
A B C D
Fabric
strength
250 225 250 300
275 250 275 250
275 225 250 275
300 300 250 300
Carry out the analysis (One way ANOVA) of the above data and write the
conclusion. (Table value of F for 3, 12 degree of freedom at 5% level= 3.49)
07
OR
(c) A 4 X 4 LSD was conducted to study the effects of four different dyes A, B, C,
and D on the strength of the fabric. To remove the variation of the laboratory and
the operators conduced the experiment in four different laboratories and the
results obtained are as follows:
Lab I II III IV
I 66 (B) 74 (D) 70 (A) 72 (C)
II 75 (D) 68 (A) 68 (C) 65 (B)
III 69 (A) 72 (C) 63 (B) 75 (D)
IV 70 (C) 65 (B) 74 (D) 70 (A)
Carry out analysis of the above data and write the conclusion.
(Table value of F for 3, 6 degree of freedom at 5% level = 4.76)
07
2
Q.3 (a) What is correlation? Explain positive and negative correlation. 03
(b) Explain Binomial distribution with their properties 04
(c) Calculate the coefficient correlation of the following data and comment on it.
X 1 2 3 4 5 6 7 8 9
Y 2 6 7 8 10 11 11 10 9
07
OR
Q.3 (a) State the properties of Normal distribution. 03
(b) Explain Poisson distribution with their properties. 04
(c) Two judges in a fabric assessment rank 6 fabric samples in the following order.
Find out spearman?s rank correlation coefficient.
Sample A B C D E F
Judge A 2 1 5 6 4 3
Judge B 3 2 6 4 5 1
07
Q.4 (a) Briefly explain about the small sample t-test. 03
(b) Five knitted garments each were selected at eight different times during the
production and following results of number of defective garments were obtained.
Sample nos. 1 2 3 4 5 6 7 8
No. of defective garments 0 2 1 1 2 0 0 0
Draw the np-chart for the above data.
04
(c) The following data are related to the percentage of humidity and the warp
breakage rate recorded for a week in a loom shed.
% Humidity 54 85 86 50 42 75 65 56
Warp breakage rate 2.45 1.21 1.20 2.84 3.25 1.86 1.90 2.32
Using equation of line of regression, find warp breakage rate if humidity
percentage on a specific day is 60 for given data.
07
OR
Q.4 (a) Explain about collection and types of data. 03
(b) Following data represents average and range of linear density of the yarn
obtained from eight different samples each size five, selected during a spinning
process.
Sample nos. 1 2 3 4 5 6 7 8
Avg. Linear density 19.6 20.1 20.5 19.4 22.3 21.7 20.3 19.9
Range 1.2 2.1 1.6 1.8 2.0 1.7 2.0 1.8
Draw the mean charts for the above data.(A2=0.577)
04
(c) Ten ring bobbins selected from the production of the day shift and fifteen ring
bobbins selected from the production of the night shift have shown following
results.
Day shift Night shift
No. of tests 10 15
Average count 40.2 39.3
Std. dev. of count 2.5 3.8
From these sample results, is there any evidence that the yarn spun during night
shift is coarser than the day shift? Use 10% los. (Table value t23,0.1=1.319)
07
Q.5 (a) Ten strength test made on certain yarn have shown the following results;
22.8, 23.2, 22.9, 22.6, 23.4, 23.0, 23.1, 23.0, 22.9, 23.0
Find the median for the above data and comment on it.
03
(b) Write short note on Material cost. 04
(c) For spinning 18s warp carded yarn, three qualities of cottons are used. Their
proportions and rates/kg. are as shown below.
Cotton Variety % in mix Cost/kg. (in Rs.)
A 8 5.84
B 88 5.00
C 4 3.00
07
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (New) EXAMINATION ? WINTER 2019
Subject Code: 2142905 Date: 12/12/2019
Subject Name: Statistical Quality Control & Textile Costing
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
MARKS
Q.1 (a) Define the term: 1. Mode 2. PMD 3. Coefficient of variation 03
(b) The following table shows test results pertaining to yarn count.
Test No. 1 2 3 4 5 6 7 8
Count 24 20 18 21 22 23 19 20
Find the quartile deviation.
04
(c) Following are the results of the fabric strength (in 10 gm) obtained from the
samples of two different fabrics.
Fabric A 22.0 21.5 22.8 21.0 23.0 20.9 21.6 22.0 22.8 21.2
Fabric B 22.3 21.6 22.0 22.1 22.0 22.3 21.8 21.8 21.6 21.8
Find out using above data which fabric is more consistent in terms of the
strength.
07
Q.2 (a) Describe various types of scatter diagram. 03
(b) Find out D7 & P35 for the following frequency distribution.
Class 30-34 35-39 40-44 45-49 50-54 55-59 60-64
frequency 3 5 12 18 14 6 2
04
(c) An experiment was conducted to study the effect of a dye produced by four
different companies (A, B, C, and D) on the strength of the fabric and following
results were obtained.
Dye
A B C D
Fabric
strength
250 225 250 300
275 250 275 250
275 225 250 275
300 300 250 300
Carry out the analysis (One way ANOVA) of the above data and write the
conclusion. (Table value of F for 3, 12 degree of freedom at 5% level= 3.49)
07
OR
(c) A 4 X 4 LSD was conducted to study the effects of four different dyes A, B, C,
and D on the strength of the fabric. To remove the variation of the laboratory and
the operators conduced the experiment in four different laboratories and the
results obtained are as follows:
Lab I II III IV
I 66 (B) 74 (D) 70 (A) 72 (C)
II 75 (D) 68 (A) 68 (C) 65 (B)
III 69 (A) 72 (C) 63 (B) 75 (D)
IV 70 (C) 65 (B) 74 (D) 70 (A)
Carry out analysis of the above data and write the conclusion.
(Table value of F for 3, 6 degree of freedom at 5% level = 4.76)
07
2
Q.3 (a) What is correlation? Explain positive and negative correlation. 03
(b) Explain Binomial distribution with their properties 04
(c) Calculate the coefficient correlation of the following data and comment on it.
X 1 2 3 4 5 6 7 8 9
Y 2 6 7 8 10 11 11 10 9
07
OR
Q.3 (a) State the properties of Normal distribution. 03
(b) Explain Poisson distribution with their properties. 04
(c) Two judges in a fabric assessment rank 6 fabric samples in the following order.
Find out spearman?s rank correlation coefficient.
Sample A B C D E F
Judge A 2 1 5 6 4 3
Judge B 3 2 6 4 5 1
07
Q.4 (a) Briefly explain about the small sample t-test. 03
(b) Five knitted garments each were selected at eight different times during the
production and following results of number of defective garments were obtained.
Sample nos. 1 2 3 4 5 6 7 8
No. of defective garments 0 2 1 1 2 0 0 0
Draw the np-chart for the above data.
04
(c) The following data are related to the percentage of humidity and the warp
breakage rate recorded for a week in a loom shed.
% Humidity 54 85 86 50 42 75 65 56
Warp breakage rate 2.45 1.21 1.20 2.84 3.25 1.86 1.90 2.32
Using equation of line of regression, find warp breakage rate if humidity
percentage on a specific day is 60 for given data.
07
OR
Q.4 (a) Explain about collection and types of data. 03
(b) Following data represents average and range of linear density of the yarn
obtained from eight different samples each size five, selected during a spinning
process.
Sample nos. 1 2 3 4 5 6 7 8
Avg. Linear density 19.6 20.1 20.5 19.4 22.3 21.7 20.3 19.9
Range 1.2 2.1 1.6 1.8 2.0 1.7 2.0 1.8
Draw the mean charts for the above data.(A2=0.577)
04
(c) Ten ring bobbins selected from the production of the day shift and fifteen ring
bobbins selected from the production of the night shift have shown following
results.
Day shift Night shift
No. of tests 10 15
Average count 40.2 39.3
Std. dev. of count 2.5 3.8
From these sample results, is there any evidence that the yarn spun during night
shift is coarser than the day shift? Use 10% los. (Table value t23,0.1=1.319)
07
Q.5 (a) Ten strength test made on certain yarn have shown the following results;
22.8, 23.2, 22.9, 22.6, 23.4, 23.0, 23.1, 23.0, 22.9, 23.0
Find the median for the above data and comment on it.
03
(b) Write short note on Material cost. 04
(c) For spinning 18s warp carded yarn, three qualities of cottons are used. Their
proportions and rates/kg. are as shown below.
Cotton Variety % in mix Cost/kg. (in Rs.)
A 8 5.84
B 88 5.00
C 4 3.00
07
3
Calculate clean cotton cost/kg., if yarn realization is 86% & that out of 14kg. lost
per 100kg. put through, 8kg. are saleable at 1.75 Rs./kg.
OR
Q.5 (a) Discuss about population and sample. 03
(b) Write short note on labour cost. 04
(c) Explain in detail about DMAIC process. 07
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This post was last modified on 20 February 2020