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Business Statistics NMIMS June18

Business Statistics NMIMS June18

Q1. The sample data from a research survey conducted in various cities on the amount of time 13-15 year-old children spent with mobiles are as follows:

City

Time with mobiles (hours per week)

Hyderabad

46

Mumbai

50

Pune

46

Bangalore

54

Bhubneshwar

42

Indore

30

Bhopal

42

New Delhi

50

Chandigarh

46

 

For the above sample, determine the following measures:

i. The mean

ii. The standard deviation

iii. The mode

iv. The 75th percentile Based on your calculations comment on the time spent on mobile.

 

Q2. ‘Mumbai Ice Cream an ice cream store gives relationship between ice cream sold and temperature. The store has taken a sample of a week’s data. Below you are given the results of the sample

 

Day

Cones Sold

Temperature

1

350

110

2

200

100

3

210

90

4

100

80

5

80

70

6

70

60

7

50

50

i. Which variable is the dependent variable?

ii. Compute the least squares estimated line.

iii. Is there a significant relationship between the sales of cones and temperature?

iv. Predict sales of a 95 degree day.

 

Q3. According to one of the recent study conducted by an academic researcher on international placement of students from leading institutes in India there is a high variation in the salary offered by institutes. The following details have been gathered from the placement institute of the colleges. The researcher wants to understand the trends with regard to international placement based on the data he has gathered.

 

Amount (in USD in lakhs per annum)

Age

Marital Status

Type of institute

Gender

2

35

Single

University

Male

5

24

Married

PGDM

Male

3.5

29

Married

University

Female

5

26

Single

University

Male

4

26

Married

PGDM

Female

8

25

Single

PGDM

Female

15

34

Married

PGDM

Male

3

26

Single

PGDM

Male

7

23

Single

PGDM

Male

a. Using descriptive statistics explore salary, and identify factors that appear to influence the amount of the salary received. (5 Marks)

b. Do a correlation analysis between ‘Amount’ and ‘Age’ and interpreted the coefficient of correlation.

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