Business Statistics 1 (MGSC2206)

Higher Institute of Commerce and Management (HICM)

Semester: Second Semester

Level: 200

Year: 2016

PART I: (35 marks) Lecturer: Dr. U.E Jumbo.
Instructions: Answer all the questions. Start each exercixe on a new page.
Exercise 1: (15 marks)
The office manager at a real estate firm makes a pot of coffee every morning. The time before it runs out, y,
in hours depends on the number of persons working inside that day, x. Suppose that the pairs of (x,y) values
from six days are:
X 1 2 3 3 4 5
Y 8 4 5 3 3 1
1) Constuct the scatter diagram.
2) Regress y on x.
3) Interpret the results obtained.
Exercise 2: (20 marks)
To compare the effectiveness of two diets A and B, 150 infants were included in a study. Diet A was given to
80 randomly selected infants and Diet B to the other 70 infants. At a later time, the health of each infant was
observed and classified into one of the three categories excellent, average, and poor. From the
frequency counts recorded in the table below, we wish to test the null hypothesis that there is no difference
between the quality of the two diets.
Health under two different diets
Total
Excellent Average Poor
Diet
Diet A 37 24 19 80
Diet B 17 33 20 70
Total 54 57 39 150
i. Calculate Chi square and the contingency coefficient.
ii. Interpret your results.
PART II: (35 marks) Lecturer: Dr. Dobdinga C.F
Instructions: Answer all the questions in this section.
Question one:
The following shows frequency of the distribution of annual earnings of a sample of MBa graduates.
Earnings 15 25 25 35 35 45 45 55 55 65 65 75 75 85 85 95 95 105
Frequency 3 4 11 14 21 16 14 9 8
a) Determine the sample mean, range and standard deviation.
b) What is the median and mode of the earnings.
c) Plot the information using a histogram and describe the frequency polygon.
SCHOOL/FACULTY: H.I.C.M DEPARTMENT:
COURSE CODE: MGSC106 COURSE TITLE: Business Statistics 1
SEMESTER: Second NATURE: Exam LEVEL: 100
LECTURER: DATE: 27/07/2016 HALL: DURATION: 3hours
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 two
The following information gives a summary of the composition of workers in DCF University:
( S = Security, L = Lecturer, G = Guard, E = Electrician, M = Mechanic, C = Cleaner)
Use a graphical method of your choice to present and interpret the information above.
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