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Hps2231:Business Statistics Question Paper

Hps2231:Business Statistics

Course:Bachelor Of Business Information Technology

Institution: Meru University Of Science And Technology question papers

Exam Year:2013

QUESTION ONE (30 MARKS)
a) Explain the meaning of each of the following terms as used in statistics. i. Sample space ii. Mutually exclusive events iii. Independent events iv. Statistics v. Time series (5 Marks) b) Explain at least three methods of collecting primary data. (1 ½ Marks) c) Using clear diagrams, explain skewness. (1 ½ Marks) d) What is the relevance of this unit (Business Statistics) to you as a BBIT student and a future business manager? (2 Marks) e) Event A and B are such that ?? ?? = 2 3 and ?? ?? n ?? = 1 12 . A and B are independent events, find; i. P(B) (1 Mark) ii. ?? ?? ? ?? (1 Mark) f) The data below shows ages of 36 actors and 34 actresses who have won presidential commendation for their efforts. Actors; 32,37,36,32,51,53, 33,61,35,61,35,46 45,55,39,76,37,42,40,32,60,38,47,56 48,48,40,43,62,43,42,44,41,56,39,31 Actresses; 50,44,35,80,26,28,41,21,61,38,49,31 33,74,30,33,41,31,35,41,42,37,27 26,34,34,35,26,61,60,34,24,38,37
2
Required;
i. Using classes of 20-30, 30-40 etc display both distributions in a frequency distribution table. (6 Marks) ii. Draw the frequency polygons for the two distributions on the same graph page. (6 Marks) iii. Calculate the means, medians and modes for each distribution. Comment on your results . (6 Marks)
QUESTION TWO (20 MARKS)
a) Joan has a basket with 20 fruits in it. 15 ripe and 5 unripe. If she picks a ripe fruit, she sells it for ksh. 10 otherwise she returns it in the bag. She does the picking three times. Represent this by means of a tree diagram hence or otherwise calculate the probability that she goes home with at least ksh.20. (10 Marks) b) A game is played such that you score 8 times the number that faces down on the roll of a four sided fair dice. If, however, the number that faces down is 4, you are given a second chance to roll the dice, but this time you only score four times the number that faces down. By help of a tree diagram, represent this information with x being the total score and obtain the respective probability, hence or otherwise calculate the expected value of x. (10 Marks)
QUESTION THREE (20 MARKS)
a) Explain the significance of the study of correlation in business and management studies. (4 Marks) b) Discuss briefly the following terms; i. Positive and negative correlation (2 Marks) ii. Linear and non-linear correlation (2 Marks) iii. Simple and multiple correlation. (2 Marks) c) The following data relate to the scores obtained by a salesman of a company on intelligence test and that weekly sale in thousand of pounds.
Salesman A
B C D E F G H I
Intelligence test score (x)
50 60 50 60 80 50 80 40 70
Weekly sales (y)
30 60 40 50 60 30 70 50 60
3
Required;
i. Present the data inform of a scatter diagram and comment on the relationship between salesman’s intelligence test and his weekly sales. (5 Marks) ii. By computing Karl Person’s correlation coefficient establish whether there is correlation between salesman intelligence and his/her weekly sales. (5 Marks)
QUESTION FOUR (20 MARKS)
a) What are index numbers and their uses? (5 Marks) b) The data below shows the quantities and prices of 5 commodities produced in North Imenti District in the year 2008 and 2009.
2008 2009
Commodities price quantity price quantity
A 12 20 14 30
B 14 13 20 15
C 10 12 15 20
D 6 8 4 10
E 8 5 6 5
Required;
i. Paasche’s price index. (5 Marks) ii. Laspeyre’s price index. (5 Marks) iii. Fisher’s ideal price index. (5 Marks)
QUESTION FIVE (20 MARKS)
a) Business derives utility from time series analyses. Explain. (6 Marks) b) An organization whose headquarters are in Nairobi opened a branch in Meru town on 1st September 2009. The branch manager thinks that sales have not been good as initially anticipated. He has collected the following data on sales for the branch for the last 12 months. Year month sales (sh.000) 2009 November 230 December 200 2010 January 190 February 170 March 190 April 200 May 190
4
June 180 July 170 August 160 September 140 October 150 Required; i. A time series graph to represent the above information. ii. A 3 month moving averages and plot the M.A graph on the same axis as (1). (14 Marks)

Hps2231:Business Statistics Question Paper

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