NMIMS Global Access
School for Continuing Education (NGA-SCE)
Course: Business Statistics
Internal Assignment Applicable for April 2021 Examination

1. Nemi Mehta is owning 50 Hectares of land near Junagadh. On his Farm, he cultivates
Giloy, which is a medicinal plant in Ayurveda. The below-given table shows the sales of
‘Giloy Vati’ that his team is preparing as per one Ayurveda script (book), and the amount
they spend on the Advertisement of it.
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%

Nemi’s problem is to analyze the effect of Advertisement on sales. Firstly, He wants to
understand the presence of a linear relationship between the sales and ‘amount spent in
advertisement’. He also wants to run a correlation and regression to know whether he should
keep spending money on Advertisements or not. If sales figures are not affected by
advertisement, he should not spend money on it.
So, Calculate Karl Person’s correlation, Regression Model (with bo and b1), R-square,
ANOVA Table. Also, provide EXCEL- Generated Output Along with your calculations.

Region code

Sales
(1NR 000s)

Advertising
(TV spots per
month) (in INR, 000s)
1 260.3 5
2 286.1 7
3 279.4 6
4 410.8 9
5 438.2 12
6 315.3 8
7 565.1 11
8 570.0 16
9 426.1 13
10 315.0 7
11 403.6 10
12 220.5 4
13 343.6 9
14 644.6 17
15 520.4 19
16 329.5 9
17 426.0 11
18 343.2 8

Region code

Sales
(1NR 000s)

Advertising
(TV spots per
month) (in INR, 000s)
19 450.4 13
20 421.8 14

(10 Marks)
2. The table given below is the ‘single year age population’ (taken from census 2011). This
table shows the population of people (age-wise) living in Leh at the time of the census
2011 survey. Transform this ungrouped data into Grouped data by forming age groups
then find out Mean, Median, Variance, Standard deviation, Ogive, and Histogram. Write
the summary based on your calculations.
Age
in
Yea
rs
Populat
ion
Age
in
Yea
rs
Populat
ion
Age
in
Yea
rs
Populat
ion
Age
in
Yea
rs
Populat
ion
Age
in
Yea
rs
Populat
ion
0 992 11 1998 22 2839 33 2696 44 1652
1 1958 12 1916 23 2935 34 2781 45 1806
2 1725 13 2138 24 3601 35 2799 46 1460
3 1814 14 2139 25 4110 36 2450 47 1226
4 1768 15 2096 26 4089 37 2142 48 1225
5 1871 16 2044 27 3716 38 2114 49 1006
6 1888 17 2027 28 3702 39 1725 50 1454
7 1768 18 2065 29 3084 40 2218
8 1712 19 2013 30 3475 41 1802
9 1780 20 2459 31 2844 42 1751
10 1862 21 2594 32 2684 43 1659
Source: Data.Gov.in

(10 Marks)

3.a. The given table shows the rainfall of Gujarat Region. Forecast the rainfall using
Exponential Smoothing. Use Alpha =0.2, 0.5 and 0.8. Data is available from 1997 to
2016, use this series for the calculation and forecast the rainfall for the year 2017. To
know, the extent the prediction is correct the actual rainfall for 2017 (1024.4 millimeters)
is provided. Find out which alpha values among the three suggestions are near to accurate
value?

SUBDIVISION YEAR ANNUAL (in MM)
Gujarat Region 1997 1068.9
Gujarat Region 1998 1070
Gujarat Region 1999 568.4
Gujarat Region 2000 550.6
Gujarat Region 2001 849
Gujarat Region 2002 637.2
Gujarat Region 2003 1160.3
Gujarat Region 2004 1005.8
Gujarat Region 2005 1316.4
Gujarat Region 2006 1478
Gujarat Region 2007 1178.9
Gujarat Region 2008 911.1
Gujarat Region 2009 641.6
Gujarat Region 2010 1088.7
Gujarat Region 2011 890.5
Gujarat Region 2012 714
Gujarat Region 2013 1118.6
Gujarat Region 2014 705.7
Gujarat Region 2015 622.9
Gujarat Region 2016 764.9
Source: Data.Gov.in

(5 Marks)

3.b. A new gas-electric hybrid car has recently hit the market. The distance traveled on 1
gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation
of 4 miles. Find the probability of the following events. (show the concerned region by
z curve)

1. The car travels more than 70 miles per gallon.
2. The car travels less than 60 miles per gallon.
3. The car travels between 55 and 70 miles per gallon.