Business Statistics 1 (MGSC2206)
Higher Institute of Commerce and Management (HICM)
Semester: Second Semester
Level: 200
Year: 2018
Instructions: Attempt ALL (5) questions. Number your work correctly. All working must be shown.
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Question 1
The following table shows data collected from forestry survey:
Tree ID Species Height (m) Elevation (m) # of scars Damage rating
B – 11 Pine 23.5 347 1 Low
B – 15 Pine 15.6 960 5 Severe
C – 42 Eucalyptus 22.3 826 3 Medium
F – 01 Mahogany 45.2 450 0 Low
Copy and complete the table below:
Variable Quantitative or Qualitative Discrete or
Continuous
Levels of Measurement
Tree ID
Species
Height
Elevation
Number of scars
Damage rating
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Question 2
The following datasets show the value of sales (000 FCFA) from two different shops, A and B.
A 25 28 22 21 23 50 29 32 31 29
B 35 38 28 31 26 30 32 25 26 55
a) Calculate:
i. The mean
ii. The standard deviation
iii. The Z – score
iv. The coefficient of variation of the sales for both shops.
b) Based on your answer in (a), which of the two shops:
i. Makes higher sales
ii. Could be considered for closure by the manager
iii. Is it appropriate to use the mean and standard deviation in this case? Justify your reasoning.
c) Use the data to create a double box and whisker plot.
d) Using your graph only, compare the sales distribution patterns in the shops in not more than five
lines.
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SCHOOL/FACULTY: H.I.C.M DEPARTMENT:
COURSE CODE: COURSE TITLE: Business Statistics 1
SEMESTER: Second NATURE: Exam LEVEL:
LECTURER: Prof. Ndoh Mbue Innocent DATE: July 2018 HALL: DURATION: 2hours
REPUBLIC OF CAMEROON
Peace -Work – Fatherland
UNIVERSITY OF BAMENDA
P.O BOX 39 BAMENDA
TEL: 33 36 36 94
REPUBLIQUE DU CAMEROUN
Paix -Travail – Patrie
UNIVERSITE DE BAMENDA
P.O BOX 39 BAMENDA
TEL: 33 36 36 94
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Question 3
The time x in years that an employee spent at a company and the employee’s hourly pay, y, for 5 employees
are listed in the table below:
X 5 3 4 10 15
Y 25 20 21 35 38
a) In not more than two lines, differentiate between regression and correlation.
b) Calculate and interpret the correlation coefficient r.
c) By first calculating the equation of the regression line, Y on X, estimate the hourly pay for an
employee who spends 13 hours at the company.
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Question 4
A customer satisfaction survey was carried out for a cellular service provider, by location of the customer. In
the survey, customers were asked whether they would recommend a plan with the provider to a friend. Of
the 150 customers surveyed, 60 were from Mankon town, 40 from Ngie town and 50 from Bambili town, 30
answered YES, while of the 40 from Ngie, 15 answered NO.
a) Present this information on a contingency table. Hence calculate the probability that a customer
chosen at random will:
b) Come from Ngie town.
c) Answers YES.
Given that a randomly selected customer answered NO, find the probability that:
d) He is from Bambili.
e) He is from Mankon.
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Question 5
a) Make a sketch of a normal distribution that has been positively skewed.
b) What is the area under a positively skewed normal distribution?
c) If the mean, median and mode for a data set are not the same, what can you conclude about the data’s
distribution.
THE END.
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