Advanced Management Programme in Business Analytics

Assignment Task

Deliverables

1. A .pdf Include any material (table/figures) to support your answers.
2. Excel/Code files used to solve the

Group Project Instructions

Each group has been provided with a separate dataset. These datasets are unique for each group. Download the data set of your group according to the group number and use it to answer the following questions. The dataset deals with the small-scale units in the undivided state of Andhra Pradesh. The details of each of the variables is given in a separate file called “Code Book”.

You are free to use the software of your choice to carry out the analysis.

Based on your dataset, carry out the following analysis. Your analysis and the interpretation should be submitted by the due date. Please note that there is no penalty for early submissions!

1. Calculate a 95 percent confidence interval for the “Gross output – Year 3 (Rs)”

2. Define two different measures that you consider most appropriate for measuring the performance of the units. This definition is up to you. These can be the variables already in the data or new variables defined based on the existing variables. For example, you can define the metric “Gross output per employee” by dividing the gross output of the year by the total number of Please explain in one paragraph why you have selected these two measures and why you think they are most appropriate. The remaining analysis is to be carried out based on these definitions.

3. Calculate a 99% confidence interval for the population mean for each of the two metrics defined by you. Interpret these confidence intervals in terms of their relevance to the

4. What is the probability that a firm selected at random is an SSSBE unit?

• What is the probability that a firm selected at random is GOOD in performance? (Calculate the average of the first performance measure you defined in question 2 If the firm’s performance is above this average, it is considered GOOD. If it is below average, it is considered Bad)

• What is the probability that a firm selected is a SSSBE Unit and GOOD in performance?

• What can you say about the performance of the SSSBE units in terms of GOOD or BAD based on the probabilities calculated above?

5. Test the null hypothesis that the population average of the variable “Value of Exports for Year 3” = 87,300. Carry out a one-sided test. Clearly state your null and alternate hypotheses.

6. There is a feeling within the Central Government Department for the promotion of small scale units, be it SSSBE or SSI, that if the population proportion is less than 25%, there is a need for providing special incentives. Based on your sample, would you recommend these special incentives for SSSBE or SSI or both?

7. Some male chauvinists like to think that a larger proportion of SSSBEs are managed by men as compared to women. Do you agree with this contention? Explain your answer with appropriate statistical

8. Based on the performance measures defined by you, is there a difference in performance between the SSSBE and SSI? If there is a difference, which of the two is better in performance?

9. Is there a difference in the proportion of better performing units in the SSI and SSBE units? Use the following procedure to test Take one of the performance measures defined by you. Calculate the averages of this measure separately for SSI and SSSBE units. Define an SSI unit as a better performing unit if the performance of the unit is more than the average of the SSI units. Calculate the proportion of better performing units of SSI. Calculate the proportion of higher performing units of SSSBE in a similar manner. Use these two proportions to test the hypothesis. Repeat this with the second measure defined by you. Comment on the results highlighting the differences, if any.

10. Comment on the distribution of the two metrics (variables) created by Can you conclude that they follow normal distribution? Explain the rationale for your conclusion.

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