# IGNOU MSTE-001 Solved Assignment 2022

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## IGNOU MSTE-001 Solved Assignment 2022

MSTE-001 Solved Assignment is an e-book for students who want to specialise in statistics. This completed assignment will allow them to assess their degree of preparation and will be extremely beneficial. All questions and concerns have been addressed and clarified. As a result, students will comprehend the concepts of any question in the assignment.

 Assignment Paper IGNOU MSTE-001 Solved Assignment 2022 Subject Name Industrial Statistics-I No.of Pages in Solution 33 Course PGDAST Language ENGLISH Session 2022 Last Date for Submission of Assignment For June Examination 31st March 2022 or as per dates given in the Ignou website For December Examination 30th September 2022 or as per dates given in the Ignou website

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## IGNOU MSTE-001 Sample Solution 2022

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## IGNOU MSTE-001 Solved Assignment 2022

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## (Industrial Statistics-I)

MSTE-001: Industrial Statistics-I

1. State whether the following statements are True or False. Give reason in support of your answer:

(a) Statistical quality control (SQC) is a technique of process control only.

(b) Twenty pieces of different length of cloth contained 2, 4, 1, 3, 5, 4, 2, 7, 3, 5, 2, 2, 4, 5, 6, 4, 2, 1, 2, 4 defects respectively. To check the process is under control with respect to the number of defects, we should use np-chart.

(c) If the probabilities are not associated with the occurrence of different states of nature, then the situation is known as decision making under risk.

(d) In single sampling plan, if we increase acceptance number then the OC curve will be steeper.

(e) A system has four components connected in parallel configuration with reliability 0.2, 0.4, 0.5, 0.8. To improve the reliability of the system most, we have to replace the component which reliability is 0.2.

2. Twenty samples each of size 10 were inspected. The number of defectives detected in each of them is given below: 0, 1, 0, 3, 9, 2, 0, 7, 0, 1, 1, 0, 0, 3, 1, 0, 0, 2, 1, 0 Find the control limits for the number of defectives and establish quality standards for the future. Plot the graph and interpret. (10)

3. A manufacturer of men’s jeans purchases zippers in lots of 500. The jeans manufacturer uses single-sample acceptance sampling with a sample size of 10 to determine whether to accept the lot. The manufacturer uses c = 2 as the acceptance number. Suppose 3% nonconforming zippers are acceptable to the manufacturer and 8% nonconforming zippers are not acceptable. Let incoming quality be 4%.

i) Construct an OC curve.

ii) Average outing quality (AOQ), if the rejected lots are screened and all defective zippers are replaced by non-defectives.

iii) Average total inspection (ATI).

4. An office supply company ordered a lot of 400 printers. When the lot arrives the company inspector will randomly inspect 12 printers. If more than three printers in the sample are non- conforming, the lot will be rejected. If fewer than two printers are non-conforming, the lot will be accepted. Otherwise, a second sample of size 8 will be taken. Suppose the inspector finds two non-conforming printers in the first sample and two in the second sample. Also AQL and LTPD are 0.05 and 0.10 respectively. Let incoming quality be 4%.

i)  What is the probability of accepting the lot at the first sample?

ii)  What is the probability of accepting the lot at the second sample?

iii) Find AQL and ATI

5. A two-person zero-sum game having the following payoff matrix for player A

 I II III IV V I 2 4 3 8 4 II 5 6 3 7 8 III 6 7 9 8 7 IV 4 2 8 4 3

(i) Check whether saddle point exit or not.
(ii) If saddle point does not exit then determine optimal strategies for both the manufacturers and value of the game.

6. A system has seven independent components and reliability block diagram of it shown blow:

Find reliability of the system.

7. The failure data for 40 electronic components is shown below:

 Operating Time (in hours) 0-5 5-10 10-15 15-20 20-25 25-30 Number of Failures 5 7 6 4 5 4 Operating Time (in hours) 30-35 35-40 40-45 45-50 ​$$\ge 50$$​ Number of Failures 4 0 2 1 2

Estimate the reliability, cumulative failure distribution, failure density and failure rate functions.

8. At a call centre, callers have to wait till an operator is ready to take their call. To monitor this process, 5 calls were recorded every hour for the 8-hour working day. The data below shows the waiting time in seconds:

 Time Sample Numbers 1 2 3 4 5 9 a.m. 8 9 15 4 11 10 7 10 7 6 8 11 11 12 10 9 10 12 12 8 6 9 12 1 p.m. 11 10 6 14 11 2 7 7 10 4 11 3 10 7 4 10 10 4 8 11 11 11 7

i)  Use the data to construct control charts for mean and variability and comments about the process. If process is out of control, then calculate the revised control limits.

ii)  If the specification limits as the 8±2, then find the process capability. Does it appear that the process is capable of meeting the specification requirements?

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