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NMIMS Global Access

School for Continuing Education (NGA-SCE)

Course: Operations Management

Internal Assignment Applicable for September 2020 Examination

Assignment Marks: 30

Instructions:

• All Questions carry equal marks.
• All Questions are compulsory
• All answers to be explained in not more than 1000 words for question 1 and 2 and for question 3 in not more than 500 words for each subsection. Use relevant examples, illustrations as far aspossible.
• All answers to be written individually. Discussion and group work is not advisable.
• Students are free to refer to any books/reference material/website/internet for attempting theirassignments, but are not allowed to copy the matter as it is from the source of reference.
• Students should write the assignment in their own words. Copying of assignments from otherstudents is not allowed.
• Students should follow the following parameter for answering the assignment questions.

For Theoretical Answer		For Numerical Answer
Assessment Parameter	Weightage	Assessment Parameter	Weightage
Introduction	20%	Understanding and usage of the formula	20%
Concepts and Application related to the question	60%	Procedure / Steps	50%
Conclusion	20%		Correct Answer & Interpretation	30%

 

 

 

 

NMIMS Global Access

School for Continuing Education (NGA-SCE)

Course: Decision Science

Internal Assignment Applicable for September 2020 Examination

Decision Science

Table of Contents

Question 1. 5

Internal Assignment Applicable for September 2020 Examination. 8

Understanding and usage of the formula and calculation. 9

Question 2. 11

Understanding and usage of the formula and calculation. 11

Question 3. 14

Understanding the concept and application and the calculation. 14

References. 15

Books. 15

Question 1

The data set given in Table 1 is having variables namely, house price of unit area (Y), house age (X1), distance to nearest MRT station (X2), number of convenience stores (X3), latitude (X4), and longitude (X5). 

Table 1: Data Set

Table Below

Internal Assignment Applicable for September 2020 Examination

S.No.	X1	X2	X3	X4	X5	Y
1	6.4	90.45606	9	24.97433	121.5431	62.2
2	17.5	964.7496	4	24.98872	121.53411	38.2
3	12.7	170.1289	1	24.97371	121.52984	32.9
4	1.1	193.5845	6	24.96571	121.54089	54.4
5	0	208.3905	6	24.95618	121.53844	45.7
6	32.7	392.4459	6	24.96398	121.5425	30.5
7	0	292.9978	6	24.97744	121.54458	71
8	17.2	189.5181	8	24.97707	121.54308	47.1
9	12.2	1360.139	1	24.95204	121.54842	26.6
10	31.4	592.5006	2	24.9726	121.53561	34.1
11	4	2147.376	3	24.96299	121.51284	28.4
12	8.1	104.8101	5	24.96674	121.54067	51.6
13	33.3	196.6172	7	24.97701	121.54224	39.4
14	9.9	2102.427	3	24.96044	121.51462	23.1
15	14.8	393.2606	6	24.96172	121.53812	7.6
16	30.6	143.8383	8	24.98155	121.54142	53.3
17	20.6	737.9161	2	24.98092	121.54739	46.4
18	30.9	6396.283	1	24.94375	121.47883	12.2
19	13.6	4197.349	0	24.93885	121.50383	13
20	25.3	1583.722	3	24.96622	121.51709	30.6
21	16.6	289.3248	5	24.98203	121.54348	59.6
22	13.3	492.2313	5	24.96515	121.53737	31.3
23	13.6	492.2313	5	24.96515	121.53737	48
24	31.5	414.9476	4	24.98199	121.54464	32.5
25	0	185.4296	0	24.9711	121.5317	45.5
26	9.9	279.1726	7	24.97528	121.54541	57.4
27	1.1	193.5845	6	24.96571	121.54089	48.6
28	38.6	804.6897	4	24.97838	121.53477	62.9
29	3.8	383.8624	5	24.98085	121.54391	55
30	41.3	124.9912	6	24.96674	121.54039	60.7
31	38.5	216.8329	7	24.98086	121.54162	41
32	29.6	535.527	8	24.98092	121.53653	37.5
33	4	2147.376	3	24.96299	121.51284	30.7
34	26.6	482.7581	5	24.97433	121.53863	37.5
35	18	373.3937	8	24.9866	121.54082	39.5
36	33.4	186.9686	6	24.96604	121.54211	42.2
37	18.9	1009.235	0	24.96357	121.54951	20.8

Internal Assignment Applicable for September 2020 Examination

38	11.4	390.5684	5	24.97937	121.54245	46.8
39	13.6	319.0708	6	24.96495	121.54277	47.4
40	10	942.4664	0	24.97843	121.52406	43.5
41	12.9	492.2313	5	24.96515	121.53737	42.5
42	16.2	289.3248	5	24.98203	121.54348	51.4
43	5.1	1559.827	3	24.97213	121.51627	28.9
44	19.8	640.6071	5	24.97017	121.54647	37.5
45	13.6	492.2313	5	24.96515	121.53737	40.1
46	11.9	1360.139	1	24.95204	121.54842	28.4
47	2.1	451.2438	5	24.97563	121.54694	45.5
48	0	185.4296	0	24.9711	121.5317	52.2
49	3.2	489.8821	8	24.97017	121.54494	43.2
50	16.4	3780.59	0	24.93293	121.51203	45.1
51	34.9	179.4538	8	24.97349	121.54245	39.7
52	35.8	170.7311	7	24.96719	121.54269	48.5
53	4.9	387.7721	9	24.98118	121.53788	44.7
54	12	1360.139	1	24.95204	121.54842	28.9
55	6.5	376.1709	6	24.95418	121.53713	40.9
56	16.9	4066.587	0	24.94297	121.50342	20.7
57	13.8	4082.015	0	24.94155	121.50381	15.6
58	30.7	1264.73	0	24.94883	121.52954	18.3
59	16.1	815.9314	4	24.97886	121.53464	35.6
60	11.6	390.5684	5	24.97937	121.54245	39.4
61	15.5	815.9314	4	24.97886	121.53464	37.4
62	3.5	49.66105	8	24.95836	121.53756	57.8
63	19.2	616.4004	3	24.97723	121.53767	39.6
64	16	4066.587	0	24.94297	121.50342	11.6
65	8.5	104.8101	5	24.96674	121.54067	55.5
66	0	185.4296	0	24.9711	121.5317	55.2
67	13.7	1236.564	1	24.97694	121.55391	30.6
68	0	292.9978	6	24.97744	121.54458	73.6
69	28.2	330.0854	8	24.97408	121.54011	43.4
70	27.6	515.1122	5	24.96299	121.5432	37.4
71	8.4	1962.628	1	24.95468	121.55481	23.5
72	24	4527.687	0	24.94741	121.49628	14.4
73	3.6	383.8624	5	24.98085	121.54391	58.8
74	6.6	90.45606	9	24.97433	121.5431	58.1
75	41.3	401.8807	4	24.98326	121.5446	35.1
76	4.3	432.0385	7	24.9805	121.53778	45.2
77	30.2	472.1745	3	24.97005	121.53758	36.5

Internal Assignment Applicable for September 2020 Examination

78	13.9	4573.779	0	24.94867	121.49507	19.2
79	33	181.0766	9	24.97697	121.54262	42
80	13.1	1144.436	4	24.99176	121.53456	36.7
81	14	438.8513	1	24.97493	121.5273	42.6
82	26.9	4449.27	0	24.94898	121.49621	15.5
83	11.6	201.8939	8	24.98489	121.54121	55.9
84	13.5	2147.376	3	24.96299	121.51284	23.6
85	17	4082.015	0	24.94155	121.50381	18.8
86	14.1	2615.465	0	24.95495	121.56174	21.8
87	31.4	1447.286	3	24.97285	121.5173	21.5
88	20.9	2185.128	3	24.96322	121.51237	25.7
89	8.9	3078.176	0	24.95464	121.56627	22
90	34.8	190.0392	8	24.97707	121.54312	44.3
91	16.3	4066.587	0	24.94297	121.50342	20.5
92	35.3	616.5735	8	24.97945	121.53642	42.3
93	13.2	750.0704	2	24.97371	121.54951	37.8
94	43.8	57.58945	7	24.9675	121.54069	42.7
95	9.7	421.479	5	24.98246	121.54477	49.3
96	15.2	3771.895	0	24.93363	121.51158	29.3
97	15.2	461.1016	5	24.95425	121.5399	34.6
98	22.8	707.9067	2	24.981	121.54713	36.6
99	34.4	126.7286	8	24.96881	121.54089	48.2
100	34	157.6052	7	24.96628	121.54196	39.1

Understanding and usage of the formula and calculation

On the basis of data given in Table 1,

1. Compute the descriptive statistics using the box plot and comment upon the 5 point summary.

Solution:

• Construct the histogram for each of X_i’s as well as Y and comment upon the skewness.

Solution:

• Compute the standard deviation for X1, X2 and X3.

Solution:

Question 2. Understanding and usage of the formula and calculation

On the basis of data given in Table 1,

a.Draw the scatter plot of Y with each X_i (i = 1, 2, 3, 4, 5)

Solution:

• Find the correlation of Y with each X_i. Also check the significance of correlation coefficient at 5% level of significance for each.

Solution:

• Using multiple regression, find the linear regression equation predicting Y on basis of X_i’s (i = 1, 2, 3, 4, 5) and comment upon R squared and adjusted R square value.

Solution: R square is 58.7 percent

Adjusted R square is 56.5 percent which is adjusted on the five independent variables in the model.

• If regression is showing any insignificant variable/s (subpart c), drop the variable/s from the regression equation and run the regression again. Now compare the R squared and adjusted R square with the previous model and comment on the same.

Solution:  After, you drop X4, X5. The R square is 57.78% and Adjusted R-square is 56.46%.

The R-square reduces as the explanatory variables are dropped.

Question 3. Understanding the concept and application and the calculation

Team leader Mr. X claims that the average output of his team is 900 pages per day. To check his claim 50 employees are selected at random and the average output is found at 854 pages with the standard deviation of 42 pages. 

1. Construct the null hypothesis and alternative hypothesis for the given problem. 

Solution:

    H0 = Mean = 900 pages/day

    Ha =

• Is the claim of Mr. X true at 5% level of significance? Construct 95% confidence interval for the sample mean.

Solution:

t stat (calculated) = 

Standard error =

References

Crisostomi, E., Ghaddar, B., Häusler, F., Naoum-Sawaya, J., Russo, G. and Shorten, R. eds., 2020. Analytics for the sharing economy: Mathematics, Engineering and Business perspectives. Springer Nature.

Santos-Trigo, M., 2020. Problem-solving in mathematics education. Encyclopedia of mathematics education, pp.686-693.

Books

• Business Mathematics NMIMS

Dear students, get fully  solved assignments by professionals

Do send your query at :

help.mbaassignments@gmail.com

or call us at :08263069601