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# Business Statistics Exam Paper 2007 - MN1025-07 C o p y r i...

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MN1025-07 Copyright Notice This exam paper has been reviewed for copyright materials. Where appropriate, any materials contained within this paper that is subject to copyright may have been removed. An unedited paper copy of the exam paper is also available from the Library in the Short Loan Collection. MN1025-1 Business Statistics Disclaimer Every effort has been made to ensure that no copyright material has been used without permission if needed, but if anyone considers that there has been an infringement, they should contact the Library Liaison Team [email protected]

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UNIVERSITY OF LONDON BSc EXAMINATION 2007 For Internal Students of Royal Holloway DO NOT TURN OVER UNTIL TOLD TO BEGIN MN1025 : BUSINESS STATISTICS MN 1025R : BUSINESS STATISTICS -PAPER FORRESIT CANDIDATES Time Allowed: TWO hours Attempt ANY FOUR questions. No credit will be given for attempting any further questions. Silent non-programmable calculators will be provided MN1025 and MN1025R/ 3Ko'~ © Royal Holloway and Bedford New College 2007 2006-07
MN1025 Question 1 The number of GCSEs passed by 6 randomly chosen pupils are given below. Data Display GCSEs 3 2 6 2 2 3 Required (a) Find the mean, the mode, the median, the sample variance, the sample standard deviation and the standard error of the mean (SE Mean) for the GCSE data. You must show your working. (15 marks) We wish to estimate the lifetimes of certain electrical components. A sample is ob- tained and analysed. The descriptive statistics is shown below. Descriptive Statistics: Lifetimes Variable N N* Mean SE Mean StDev Minimum Median Maximum Lifetimes 10 0 7.920 0.396 ].252 5.300 7.850 9.900 Required (b) Calculate a 95% confidence interval for the mean lifetime using the de- scriptive statistics and an appropriate critical value from the Minitab outputs given below. (10 marks) Cumulative Distribution Function Student's t distribution with 9 DF Cumulative Distribution Function Student's t distribution with 10 DF x P( X <= x ) x P( X <= x ) O. 950 O. 816538 O. 950 O. 817747 O. 975 O. 822482 O. 975 O. 823722 O. 990 O. 825979 O. 990 O. 827238 O. 995 O. 827133 O. 995 O. 828399 Inverse Cumulative Distribution Function Student's t distribution with 9 DF P( X <= x ) x 0.950 1.83311 0.975 2.26216 0.990 2.82144 0.995 3.24984 Inverse Cumulative Distribution Function Student's t distribution with I0 DF P( X <= x ) x 0.950 1.81246 0.975 2.22814 0.990 2.76377 0.995 3.16927 (Total: 25 marks) TURN

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