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Bbm 350: Managerial Statistics Question Paper
Bbm 350: Managerial Statistics
Course:Bachelor Of Business Management
Institution: Moi University question papers
Exam Year:2013
MOI UNIVERSITY
OFFICE OF DEPUTY VICE CHENCELLOR, ACADEMIC AFFAIRS,
RESEARCH AND EXTENTION
UNIVERSITY EXAMINATIONS
2012/2013 ACADEMIC YEAR
END OF SEMESTER EXAMINATIONS
FOR THE DEGREE OF
BACHELOR OF BUSINESS MANAGEMENT
EXAM CODE: - BBM 350
COURSE TITLE: - MANAGERIAL STATISTICS
DATE: - 16TH DECEMBER, 2011 TIME:-2.00 P.M – 5.00 P.M
INSTRUCTION TO CANDIDATES
? SEE INSIDE.
THIS PAPER CONSISTS OF (3) PRINTED PAGES PLEASE TURN OVER
INSTRUCTIONS: Answer QUESTION ONE and any other THREE
QUESTION ONE
a) Suppose there are 50 delegates from green county to national political convention of which 30 have pledged to candidate A and 20 have pledged to candidate B. if five delegates are selected at a random, which is the probability that among the five at least two are pledged to candidate A? (10 marks)
b) In a certain examination, the percentage of passes and distinction were 45 and 90 respectively. Estimate the average marks obtained by the candidates, the minimum pass and distinction marks being 40 and 75 respectively (assume distribution of marks to be normal). Also determine what would have been the minimum qualifying marks for admission to re-examination of the failed candidates, had it been desired that 25% of them should be given another opportunity to being examined.(15 marks)
QUESTION TWO
a) A manufacturer, who produces soda bottles, finds that 0.1% of bottles are defective. The bottles are packed in boxes containing 500 bottles. A soda manufacture buys 100 boxes from producer’s bottles. Using Poisson distribution find how many boxes will contain
i) No defectives
ii) At least defectives ( given e-0.5=0.6065) ( 12 marks )
b) The income of a group of 10,000 persons was found to be normally distributed with mean kshs. 750 pm and standard deviation of kshs 50. Show that of this group 95% had income exceeding sh. 668 and only 5% has income exceeding kshs. 832. What was the lowest income among the richest 100? ( 13 marks )
QUESTION THREE
a) Explain the following terms as used in estimation of parameters
i) Estimator
ii) Estimate
iii) Unbiased estimator
iv) Confidence interval
v) Confidence coefficient
vi) Confidence level ( 2 marks each )
b) The results from a sample taken n=25; ?x1=500, ?x1 2 =12400. Find the point estimates for the following;
i) The mean µ ( 3 marks )
ii) The variance ( 3 mars )
iii) The standard deviation ( 2 marks )
iv) The standard error of the sample mean. ( 3 marks )
QUESTION FOUR
a) Using relevant examples explain what you understand by type I and type II errors ( 6 marks )
b) In 2009 15 % of households in Kisumu city indicated that they owed a sewing machine. In 2011, there was a reason to believe that there was some increase in in this percentage. A survey based on a random sample of 900 household was taken and it was found that 189 households has a sewing machine. Can we conclude that there has been a significant increase in the sale of sewing machines? ( assuming alpha of 0.05) ( 19 marks )
Question five
a) State the conditions of applying Chi square ( 6 marks)
b) A certain drug is claimed to be effective in curing cold season. In an experiment on 500 persons with cold, half of them were given the sugar pills. The patient’s reaction to the treatment are recorded in the following table.
Helped Harmed No effects Total
Drug 150 30 70 250
Sugar pills 130 40 80 250
Total 280 70 150 500
On the basis of the data can it be concluded that there is a significance difference in the effect of drug and sugar pills (19 marks )
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