Cima C03 Exam Question No 13

Question No 13:

For a set of six pairs of observations for the variables X (number of employees in hundreds) and Y
(product sales in thousands of units), the following results were obtained:
ΣX = 1 ΣY = 15 ΣX2 = 15 ΣY2 = 65 ΣXY = 7
The correlation coefficient is nearest to

A. 0·22
B. 0·47
C. 0·90
D. - 0·32

Answer: A

Cima C03 Exam Question No 12

Question No 12:

 The number of daily complaints to a railway company has an average (arithmetic mean) of 12 and a standard deviation of 3 complaints.
The coefficient of variation, measured as a percentage, is therefore

A. 0∙25%.
B. 4%.
C. 25%.
D. 400%.

Answer: C

Cima C03 Exam Question No 11

Question No 11:

For a certain group of students, the coefficient of rank correlation between their performance in
Accounting and their performance in Law is –1. The coefficient of rank correlation between their performances in Law and FBSM is also –1. Therefore, the coefficient of rank correlation between their performance in Accounting and their performance in FBSM is

A. –2
B. zero
C. +1
D. impossible to determine from the information given.

Answer: C

Cima C03 Exam Question No 10

Question No 10:

Mail order buyers of Brand X, classified by area and age (years)

Area/Age    Under 25     25-44    45-64     65+
North        400         350       300      250
South        600         550       500      450
East         200         150       100      50
West         400         350       300      250
Total       1,600        1,400     1,200    1,000
The probability that a randomly-selected Brand X buyer is from the North and under 25
years of age is (to 2 decimal places)

A. 0∙08
B. 0∙25
C. 0∙31
D. 0∙56

Answer: A