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Agbm 241: Business Statistics Question Paper
Agbm 241: Business Statistics
Course:Bachelor Of Agribusiness Management
Institution: Chuka University question papers
Exam Year:2013
CHUKA
UNIVERSITY
UNIVERSITY EXAMINATIONS
EXAMINATIONS FOR THE AWARD OF DEGREE OF
BACHELOR OF AGRIBUSINESS MANAGEMENT
AGBM 241: BUSINESS STATISTICS
STREAMS: AGBM Y2S1 TIME: 2 HOURS
DAY/DATE: WEDNESDAY 24/4/2013 11.30 AM – 1.30 PM
INSTRUCTIONS:
Answer Question ONE and any other TWO
All working must be clearly shown
Do not write on your question paper.
QUESTION 1(30 MARKS)
(a) State and explain the four levels of measurement in statistics. [6 Marks]
(b) Primary data and secondary data are two sources of data. Explain briefly their differences. [6 Marks]
(c) Consider the data set below representing the student scores in an examination:
X 5 12 15 18 11 4
Compute:
(i) The mean and Absolute deviation
(ii) The standard deviation
(iii) The coefficient of variation. [10 Marks]
(d) State and explain the uses of statistics in Agriculture business management. [4 Marks]
(e) The probability that Kinyua gets a contract supply company A and B with building material is ½ and 2/3 respectively. Find the probability that
(i) He gets both contracts [2 Marks]
(ii) He gets at most one contract. [2 Marks]
QUESTION 2 (20 MARKS)
(a) The following data represents the CAT marks for students in two courses A and B.
Course A 11 14 15 30 17 10 11 9 17 10 12 14 19 13
Course B 9 17 18 18 26 11 17 13 19 10 12 13 6 8
Compute the rank correlation of the two courses and comment on your results.
[5 Marks]
(b) The number of rainy days in a week follow a binomial distribution. The probability that a day will be rainy is 0.35. Find the probability that
(i) Less than 2 days there will be rain. [2 Marks]
(ii) Exactly 3 days there will be rain. [2 Marks]
(iii) Find the expected and the standard deviation of the rainy days in a week.
[2 Marks]
(c) The marks obtained by a statistics class in Chuka University are given in the table below.
Percentage mark 31 - 40 41 - 50 51 - 60 61 - 70 71 - 80 81 - 90 91 - 100
No. of students 4 5 15 16 24 21 15
Calculate:
(i) The mean mark [3 Marks]
(ii) The median mark [2 Marks]
(iii) The mode mark [2 Marks]
(iv) The standard deviation [2 Marks]
QUESTION 3 (20 MARKS)
(a) The mean weight of sacks of a row national is 150 kg and the standard deviation is 15kg. Assuming the weights are normally distributed calculate what proportion of sack weight
(i) Between 125 and 160 kg
(ii) Less than 185 kg
(iii) Less than 130 kg [6 Marks]
(b) The average trade in value of a particular make of used car depreciates with time according to the following table.
Age (X) 2.0 2.5 3.0 3.5 4.5 5.0 6.0 7.0
Value (SH.000)Y 6.10 555 509 465 389 351 331 250
(i) Find the regression line y ^=a+bx [6 Marks]
(ii) Interpret the value of a and b. [3 Marks]
(iii) Calculate the Karl Pearsons product moment correlation coefficient and comment on your findings. [5 Marks]
QUESTION 4 (20 MARKS)
(a) Daniel a health worker claims that the average number of people being affected by cholera in Bero slum is 10 in a year. Kingstone a researcher decided to take a sample of 28 and found that those suffering from this disease are 13 with a standard deviation of 2. Assuming that those suffering from cholera are normally distributed using 1% significance level, do you agree with Daniel. [11 Marks]
(b) A manufacturer gave Maina a statistician the following data on products A,B and C that he manufactures, to know if there are great changes in the prices between 2007 and 2009.
Year 2007 Year 2008
Commodity Price Quantity Price Quantity
A 8 80 10 110
B 10 90 12 108
C 16 256 20 340
Compute;
(i) Laspeyres Price Index [3 Marks]
(ii) The Paasches Price Index [3 Marks]
(iii) Fishers Ideal Price Index [3 Marks]
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