M2b - MANAGERIAL STATISTICS FOR BUSINESS - Mathematics
MANAGERIAL STATISTICS FOR BUSINESS finalsee file attached please,,,,,,,,,,,,,,,,,,,,
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Q 5: Oman Ice LLC, one of the Oman’s leading ice creams manufacturing company is interested to
find out any relationship between temperature and sale of ice cream. Company has recently hired
Mr. Waheed, a professional market researcher and provided him the last 07 years data. Mr. Waheed
would like to use the suitable method to find out the relationship between temperature and Sales
Volume.
Sales
Average
Year
Volume
Temperature
(0C)
(OMR
in
Millions)
2013
12
60
2014
36
88
2015
24
72
2016
20
40
2017
32
76
2018
32
84
2019
20
68
a) Discuss the strength and direction of relationship between temperature and sales volume.
b) Discuss the importance of correlation analysis in statistics.
(4+1=5 Marks)
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Q6:
a) Fit a regression equation for the above data set (Question No, 5).
( 1 Mark)
b) Discuss how can linear regression equations helps in the process of forecasting future sales
based on the above set of data?
( 1 Mark)
c) What would be the value of sales if temperature is equal to 50 degrees?
( 3 Marks)
Q.7: Bank Muscat has recently hired Mr. Hamood Al Amri, a professional market researcher to
conduct a survey and find out the association between the bank service, behavior of the bank
employee, ease of transaction with customer satisfaction. Bank Muscat has 150 branches and more
than 500,000 account holders (customers) in the Sultanate of Oman. Mr. Hamood realized that it is
not possible to collect the data from all the bank customers considering the time to complete the
survey.
(5Q*1M=5 Marks)
a) Describe the Population
b) Find out the independent variables. Give reason to your answer
c) Which research instrument will be suitable to collect the data? Discuss with reasons
d) What should be the sample size? Discuss analytically
e) Inferential statistics will be applicable. Discuss analytically
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Q.8: TE Oman survey firm has recently published the demographic data of Muscat for the last 07
years and also highlighted the increased number of students completing the graduation studies from
the different colleges of Muscat. The survey firm would like to calculate 03 yearly graduation trend
using moving average method.
Year
2014
Muscat
Population
1,025,000
Graduates
53,000
2015
1,075,000
54,225
2016
1,126,000
55,214
2017
1,275,000
58,225
2018
1,301,000
59,775
2019
1,325,000
60,125
2020
1,506,000
61,288
a) Find out the 03 yearly graduation trend and evaluate the trend values
b) How do you differentiate between moving average and semi average method?
c) Is this the example of secular trend? Discuss with reasons
(3+1+1=5 Marks)
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Q 9: Oman Football Club are having 40 football players and getting trained under Mr. Faisal, a
football coach. The average weight of the players is 55 kg and average height is 152 cm. Mr.
Faisal, a football coach would like to find out the following things:
a) If the weight of the coach (66 kg) is included, what will be the mean weight of the players
including coach?
(01 Mark)
b) If 08 new football players having height 148 cm, 155 cm, 157 cm, 135 cm, 155 cm, 142 cm,
143 cm and
148 cm included, what will be the mean height of the players excluding coach?
(02 Marks)
c) If 08 players having weight of 54 kg, 46 kg, 48 kg, 60 kg, 60 kg, 62 kg, 61 kg and 50 kg have
been removed from the club, what will be the average weight of the players excluding coach?
(02 Marks)
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Q 10: Mr. Mohammed Al Bulushi a software engineer living in Muscat with his wife and two
children’s (twins) named Rashid and Hana studying in the 7th standard. Rashid is studying with
Muscat International School while Hana is studying in Gubra School. The average weekly school
expenses of the two schools for last 07 years are:
Year
Muscat
Gubra
International
School
School Weekly Weekly
Expenses (RO)
Expenses
(RO)
2013
20
22
2014
23
25
2015
30
30
2016
28
27
2017
24
18
2018
24
23
2019
27
24
a) Find out the school which has more stable weekly expenses using Coefficient of Variation
b) Coefficient of Variation is different from IQR. Discuss analytically
(3+2=5 Marks)
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