This document contains instructions for an internal assignment for a business statistics course. It provides details on the assignment such as it being worth 30 marks, all questions being compulsory, and parameters for theoretical and numerical answers. The assignment then lists 3 questions for analysis of data on red wines and descriptive statistics of other variables. It asks students to conduct statistical analysis including measures of central tendency, correlation, and inference based on correlation. It also asks students to interpret descriptive statistics and identify normally distributed variables. Finally, it presents a probability question involving 4 rounds of voting with independent events.

1. NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Business Statistics
Internal Assignment Applicable for December 2019 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 as possible.
 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 their assignments, 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
other students is not allowed
 Students should follow the following parameter for answering the assignment questions
For Theoretical Answer
Assessment Parameter Weightage
Introduction 20%
Concepts and Application
related to the question
60%
Conclusion 20%
For Numerical Answer
Assessment Parameter Weightage
Understanding and usage
of the formula
20%
Procedure / Steps 50%
Correct Answer &
Interpretation
30%

2. NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Business Statistics
Internal Assignment Applicable for December 2019 Examination
fixed acidity volatile acidity citric acid residual sugar chlorides
7.4 0.7 0 1.9 0.076
7.8 0.88 0 2.6 0.098
7.8 0.76 0.04 2.3 0.092
11.2 0.28 0.56 1.9 0.075
7.4 0.7 0 1.9 0.076
7.4 0.66 0 1.8 0.075
7.9 0.6 0.06 1.6 0.069
7.3 0.65 0 1.2 0.065
7.8 0.58 0.02 2 0.073
7.5 0.5 0.36 6.1 0.071
6.7 0.58 0.08 1.8 0.097
7.5 0.5 0.36 6.1 0.071
5.6 0.615 0 1.6 0.089
7.8 0.61 0.29 1.6 0.114
8.9 0.62 0.18 3.8 0.176
8.9 0.62 0.19 3.9 0.17
8.5 0.28 0.56 1.8 0.092
8.1 0.56 0.28 1.7 0.368
7.4 0.59 0.08 4.4 0.086
7.9 0.32 0.51 1.8 0.341
8.9 0.22 0.48 1.8 0.077
7.6 0.39 0.31 2.3 0.082
7.9 0.43 0.21 1.6 0.106
8.5 0.49 0.11 2.3 0.084
6.9 0.4 0.14 2.4 0.085
6.3 0.39 0.16 1.4 0.08
1. For the data on 26 red wines given above, conduct the following analysis:
i. Provide five-number summary i.e. the minimum, 1st
quartile, median, 3rd
quartile and
maximum value for fixed acidity. Arrange them in increasing order on a straight line, draw
a box plot and interpret what it means.

3. NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Business Statistics
Internal Assignment Applicable for December 2019 Examination
ii. Calculate the correlation coefficient between fixed acidity and volatile acidity and
between residual sugar and chlorides. Comment on the strength and direction of
association for the two variable pairs.
iii. What can be stated about the cause-effect relationship between fixed acidity and
volatile acidity, based on the correlation coefficient score?
(10 Marks)
2. For the data in the table below:
i. What do high kurtosis and skewness figures denote?
ii. Free Sulphur dioxide and total Sulphur dioxide have mean, median and modes that
differ substantially from each other. What can you infer from this?
iii. By looking at the descriptive stats of the variables, identify two that may be closest to
being normally distributed. Why?
Desc Stats fixedacidity volatile acidity citric acid residual sugar chlorides free sulfur dioxide total sulfur dioxide density pH sulphates alcohol
Mean 6.85 0.28 0.33 6.39 0.05 35.31 138.36 0.99 3.19 0.49 10.51
Med 6.80 0.26 0.32 5.20 0.04 34.00 134.00 0.99 3.18 0.47 10.40
Mod 6.80 0.28 0.30 1.20 0.04 29.00 111.00 0.99 3.14 0.50 9.40
SD 0.84 0.10 0.12 5.07 0.02 17.01 42.50 0.00 0.15 0.11 1.23
Kurt 2.17 5.09 6.17 3.47 37.56 11.47 0.57 9.79 0.53 1.59 -0.70
Skew 0.65 1.58 1.28 1.08 5.02 1.41 0.39 0.98 0.46 0.98 0.49
Range 10.40 1.02 1.66 65.20 0.34 287.00 431.00 0.05 1.10 0.86 6.20
(10Marks)
3. Lok Sabha in India is to discuss a key constitutional amendment, and there will be four
rounds of voting. In each round of voting, assume that the ruling party has a 60% chance
of winning, i.e. getting the resolution passed by majority vote. Further assuming that the
voting rounds are independent of each other, what is the probability that:
a. The ruling party will win 0 rounds, 1 round, 2 rounds, 3 rounds or all 4 rounds of
voting? (5 Marks)
b.The ruling party will win at least 1 round? (5 Marks)
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