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IGNOU MSTE 2 SOLVED ASSIGNMENT

IGNOU MSTE 2 SOLVED ASSIGNMENT


IGNOU MSTE 2 Solved Assignment 2026
Rs. 400
Rs. 205

IGNOU MSTE 2 SOLVED ASSIGNMENT

Rs. 400
Rs. 205

Last Date of Submission of IGNOU MSTE-02 (PGDAST) 2026 Assignment is for January 2026 Session: 30th September, 2026 (for December 2026 Term End Exam).
Semester Wise
January 2026 Session:
30th March, 2026 (for June 2026 Term End Exam).
July 2026 Session: 30th September, 2026 (for December 2026 Term End Exam).

Title NameIGNOU MSTE 2 SOLVED ASSIGNMENT
TypeSoft Copy (E-Assignment) .pdf
UniversityIGNOU
DegreePG DIPLOMA PROGRAMMES
Course CodePGDAST
Course NamePost Graduate Diploma in Applied Statistics
Subject CodeMSTE 2
Subject NameIndustrial Statistics-II
Year2026
Session
LanguageEnglish Medium
Assignment CodeMSTE-02/Assignmentt-1//2026
Product DescriptionAssignment of PGDAST (Post Graduate Diploma in Applied Statistics) 2026. Latest MSTE 02 2026 Solved Assignment Solutions
Last Date of IGNOU Assignment Submission
Last Date of Submission of IGNOU MSTE-02 (PGDAST) 2026 Assignment is for January 2026 Session: 30th September, 2026 (for December 2026 Term End Exam).
Semester Wise
January 2026 Session:
30th March, 2026 (for June 2026 Term End Exam).
July 2026 Session: 30th September, 2026 (for December 2026 Term End Exam).

Rs. 400
Rs. 205
Questions Included in this Help Book

Ques 1.

State whether the following statements are True or False. Give reasons in support of your answers. 
(a) The solution of a transportation problem with 5 rows (supplies) and 4 columns (destinations) is feasible if number of possible allocations are 8.
(b) The moving averages of suitable period in a time-series are free from the influences of seasonal and cyclic variations.
(c) If the basic solutions for a system of equations are (- 2, 0, 1), (0, 1, 3), (- 2, 3, 0), then only (0, 1, 3) is feasible.
(d) In the stepwise selection method of multiple regression model, once a variable enters in the model then it always remains in the model.
(e) An enterprise requires 1000 units per month. The ordering cost is estimated to be 50 per order. The purchase price is 20 per unit and the carrying cost per unit is 10% of it. Then the economic lot size to be ordered is 775.

Ques 2.

 Use the penalty (Big M) method to solve the following LP problem:

Minimise equation

Subject to the constraints
equation
equation
equation
equation.

Ques 3.

A company has three production facilities S1, S2 and S3 with production capacity of 7, 9 and 18 units (in 100s) per week of a product, respectively. These units are to be shipped to four warehouses D1, D2, D3 and D4 with requirement of 5, 6, 7 and 14 units (in 100s) per week, respectively. The transportation costs (in Rs) per unit between factories to warehouses are given in the table below:

  $D_1$ $D_2$ $D_3$ $D_4$ Capacity
$S_1$ 19 30 50 10 7
$S_2$ 70 30 40 60 9
$S_3$ 40 8 70 20 18
Demand 5 8 7 14 34

Obtain optimal solution by the MODI method

Ques 4.

Four professors are capable of teaching any one of four different courses. Class preparation time in hours for different topics varies from professor to professor and is given in the table below:

Professor A B C D
Linear Programming 2 15 13 4
Queuing Theory 10 4 14 15
Transportation Problem 9 14 16 13
Regression Analysis 7 8 11 9

Each professor is assigned only one course. Determine an assignment schedule so as to minimise the total course preparation time for all courses.

Ques 5.

In a railway marshalling yard, goods trains arrive at a rate of 36 trains per day. Assuming that the inter-arrival and service time distributions both follow exponential distribution with an average of 30 minutes, calculate the following:

 

(i) Traffic intensity

 

(ii) The mean queue length

 

(iii) Probability that the queue size exceeds

Ques 6.

Using the graphical method to minimise the time required to process Job 1 and Job 2 on five machines A, B, C, D and E, find the minimum elapsed times an idle times to complete both jobs.

  Sequence A B C D E
Job 1 Time (in hours) 1 2 3 5 4
Job 2 Sequence C A D E B
  Time (in hours) 3 4 2 1 5

Ques 7.

A firm wants to know whether there is any linear relationship between the sales (X) and its yearly revenue (Y). The records for 10 years were examined and the following results were obtained:
equation$
(a) Fit a regression line taking Y as the dependent variable and X as the independent variable.
(b) Test whether the sales have any effect on revenue at 5% level of significance.
(c) Comment on the goodness of fit of the regression line.

Ques 8.

A researcher is interested in developing a linear model for the electricity consumption of a household having an AC (1.5 ton) so that she can predict the electricity consumption. For this purpose, she selects 25 houses and records the electricity consumption (in kWh), size of house (in square feet) and AC hours for one month during summers. The results obtained are:
equation$
equation$

 

Build a regression model by selecting appropriate regressors in the model using the Stepwise Selection method. 

Ques 9.

The following table represents the sales (in thousands) of mobile sets of a shop for 16 quarters over four years:

Year Quarter      
  Q_1 Q_2 Q_3 Q_4
2011 554 590 616 653
2012 472 501 521 552
2013 501 531 553 595
2014 403 448 460 480

(a) Compute the seasonal indices for four quarters by Simple average method.

(b) Obtain deseasonlised values.

Ques 10.

 Seven successive observations on a stationary time-series are as follows:

12, 14, 13, 10, 15, 12, 15

(a) Calculate auto-covariances C0, C1, C2, C3 and C4.

(b) Calculate auto-correlation coefficients r1, r2, r3 and r4.

(c) Plot the correlogram.

Ques 11.

State whether the following statements are True or False. Give reasons in support of your answers. 
(a) The solution of a transportation problem with 5 rows (supplies) and 4 columns (destinations) is feasible if number of possible allocations are 8.
(b) The moving averages of suitable period in a time-series are free from the influences of seasonal and cyclic variations.
(c) If the basic solutions for a system of equations are (- 2, 0, 1), (0, 1, 3), (- 2, 3, 0), then only (0, 1, 3) is feasible.
(d) In the stepwise selection method of multiple regression model, once a variable enters in the model then it always remains in the model.
(e) An enterprise requires 1000 units per month. The ordering cost is estimated to be 50 per order. The purchase price is 20 per unit and the carrying cost per unit is 10% of it. Then the economic lot size to be ordered is 775.

Ques 12.

 Use the penalty (Big M) method to solve the following LP problem:

Minimise equation

Subject to the constraints
equation
equation
equation
equation.

Ques 13.

A company has three production facilities S1, S2 and S3 with production capacity of 7, 9 and 18 units (in 100s) per week of a product, respectively. These units are to be shipped to four warehouses D1, D2, D3 and D4 with requirement of 5, 6, 7 and 14 units (in 100s) per week, respectively. The transportation costs (in Rs) per unit between factories to warehouses are given in the table below:

  $D_1$ $D_2$ $D_3$ $D_4$ Capacity
$S_1$ 19 30 50 10 7
$S_2$ 70 30 40 60 9
$S_3$ 40 8 70 20 18
Demand 5 8 7 14 34

Obtain optimal solution by the MODI method

Ques 14.

Four professors are capable of teaching any one of four different courses. Class preparation time in hours for different topics varies from professor to professor and is given in the table below:

Professor A B C D
Linear Programming 2 15 13 4
Queuing Theory 10 4 14 15
Transportation Problem 9 14 16 13
Regression Analysis 7 8 11 9

Each professor is assigned only one course. Determine an assignment schedule so as to minimise the total course preparation time for all courses.

Ques 15.

In a railway marshalling yard, goods trains arrive at a rate of 36 trains per day. Assuming that the inter-arrival and service time distributions both follow exponential distribution with an average of 30 minutes, calculate the following:

 

(i) Traffic intensity

 

(ii) The mean queue length

 

(iii) Probability that the queue size exceeds

Ques 16.

Using the graphical method to minimise the time required to process Job 1 and Job 2 on five machines A, B, C, D and E, find the minimum elapsed times an idle times to complete both jobs.

  Sequence A B C D E
Job 1 Time (in hours) 1 2 3 5 4
Job 2 Sequence C A D E B
  Time (in hours) 3 4 2 1 5

Ques 17.

A firm wants to know whether there is any linear relationship between the sales (X) and its yearly revenue (Y). The records for 10 years were examined and the following results were obtained:
equation$
(a) Fit a regression line taking Y as the dependent variable and X as the independent variable.
(b) Test whether the sales have any effect on revenue at 5% level of significance.
(c) Comment on the goodness of fit of the regression line.

Ques 18.

A researcher is interested in developing a linear model for the electricity consumption of a household having an AC (1.5 ton) so that she can predict the electricity consumption. For this purpose, she selects 25 houses and records the electricity consumption (in kWh), size of house (in square feet) and AC hours for one month during summers. The results obtained are:
equation$
equation$

 

Build a regression model by selecting appropriate regressors in the model using the Stepwise Selection method. 

Ques 19.

The following table represents the sales (in thousands) of mobile sets of a shop for 16 quarters over four years:

Year Quarter      
  Q_1 Q_2 Q_3 Q_4
2011 554 590 616 653
2012 472 501 521 552
2013 501 531 553 595
2014 403 448 460 480

(a) Compute the seasonal indices for four quarters by Simple average method.

(b) Obtain deseasonlised values.

Ques 20.

 Seven successive observations on a stationary time-series are as follows:

12, 14, 13, 10, 15, 12, 15

(a) Calculate auto-covariances C0, C1, C2, C3 and C4.

(b) Calculate auto-correlation coefficients r1, r2, r3 and r4.

(c) Plot the correlogram.

Rs. 400
Rs. 205
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Looking for IGNOU MSTE 2 Solved Assignment 2026. You are on the Right Website. We provide Help book of Solved Assignment of PGDAST MSTE 2 - Industrial Statistics-IIof year 2026 of very low price.
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IGNOU PGDAST Assignments Jan - July 2025 - IGNOU University has uploaded its current session Assignment of the PGDAST Programme for the session year 2026. Students of the PGDAST Programme can now download Assignment questions from this page. Candidates have to compulsory download those assignments to get a permit of attending the Term End Exam of the IGNOU PGDAST Programme.

Download a PDF soft copy of IGNOU MSTE 2 Industrial Statistics-II PGDAST Latest Solved Assignment for Session January 2025 - December 2025 in English Language.

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If you’ve arrived at this page, you’re looking for a free PDF download of the IGNOU PGDAST Solved Assignment 2026. PGDAST is for Post Graduate Diploma in Applied Statistics.

IGNOU solved assignments are a set of questions or tasks that students must complete and submit to their respective study centers. The solved assignments are provided by IGNOU Academy and must be completed by the students themselves.

Course Name Post Graduate Diploma in Applied Statistics
Course Code PGDAST
Programm PG DIPLOMA PROGRAMMES Courses
Language English

 

 

 
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