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IGNOU MST-014 Solved Assignment 2023 | MSCAST
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IGNOU MST-014 Assignment Question Paper 2023
- (a) State whether the following statements are True or False. Give reason in support of your answer:
(i) Probability of accepting a lot of incoming quality 0.04 .
(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).
(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?
![original image](https://cdn.mathpix.com/snip/images/5juf4ypq2HE1OFeqUoYZG3QW3-AWM94o8OxRmnRlnCo.original.fullsize.png)
Number of Failures | 5 | 7 | 6 | 4 | 5 | 4 |
Number of Failures | 4 | 0 | 2 | 1 | 2 |
- 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 Number | ||||
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) Is this a stationary time series?
(ii) What are the mean and variance of the time series?
(iii) Calculate the autocorrelation function.
(iv) Plot the correlogram.
Quarter | ||||
48 | 41 | 60 | 65 | |
58 | 52 | 68 | 74 | |
60 | 56 | 75 | 78 |
(ii) Do seasonal forces significantly influence the sale of mobile? Comment.
(iii) Also find the deseasonalised values.
MST-014 Sample Solution 2023
Question:-01
- (a) State whether the following statements are True or False. Give reason in support of your answer:
Justification:
-
Small Subgroup Sizes: The
R R – chart is most effective and commonly used when the subgroup size (n n ) is small, typically between 2 and 10. This is because the range is a simpler and more efficient calculation when dealing with smaller subgroup sizes. -
Large Subgroup Sizes: When subgroup sizes are larger than 10, the
R R – chart may not be the most appropriate choice for evaluating within-group variability due to the following reasons:- Sensitivity: The range is less sensitive to the spread of data as the subgroup size increases. It only considers the largest and smallest values and ignores the distribution of all the values in between.
- Normality Assumption: The distribution of the range is highly dependent on the underlying distribution of the process data, and this dependency increases with subgroup size. For larger subgroups, if the data is not normally distributed, the control limits calculated for the
R R – chart may not be accurate or reliable. - Alternative Charts: The
S S – chart (standard deviation chart) is often recommended for larger subgroup sizes because it considers all data points in the subgroup, providing a more accurate and reliable measure of dispersion, especially whenn > 10 n > 10 .
Example:
- The range (
R R ) would be calculated as the difference between the largest and smallest values:R=13-5=8 R = 13 – 5 = 8 . - However, this doesn’t give any insight into the variability of all the other values in the subgroup.
- If there were outliers or shifts within the subgroup, the
R R – chart might not detect them effectively due to its insensitivity to the distribution of internal values.
Conclusion:
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