ELEMENTARY STATISTICS (SQQS1013) GROUP PROJECT (20%) SECOND SEMESTER 2010/2011INSTRUCTIONS 1. 2. The members for each group must at least 3 members and not exceed 5 members. The report consists of: i. Front page your main group (A, B, C), groups members, lecturers name. ii. Answer all questions. The answer must be in handwriting.

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The due date: 14 April 2011 (Thursday)

Elementary Statistics SQQS 1013 Second Semester 2010/2011 -----------------------------------------------------------------------------------------------------------QUESTION 1 (28 MARKS) The housing price index (HPI) serves as an indicator of housing price trends by measuring average changes in repeat sales or refinancing on the same property. The data in TABLE 1 represent the change in HPI from the third quarter of 2002 to the third quarter of 2007 for a random sample of 40 cities. TABLE 1 12.27 36.34 14.26 73.57 18.82 87.23 17.78 71.77 13.50 72.54 24.11 29.15 42.22 27.83 41.02 76.02 77.96 42.02 25.88 26.08 39.65 36.92 94.41 18.57 40.33 15.91 63.45 38.74 113.82 24.22 81.15 81.40 55.69 91.92 56.90 19.31 20.18 29.04 41.23 30.97

a) What is the variable to be measured? What type of variable is it? (2 marks) b) Identify the level of measurement of the variable. (1 mark) c) Identify the population of interest to the study. What is the sample? (2 marks) d) Construct a frequency table using Sturges rule. (6 marks) e) Construct a histogram for the data. Interpret the shape of the data. (3 marks) f) Based on the frequency table in (b), estimate: i. Mean (4 marks) ii. iii. iv. Median (3 marks) Mode (3 marks) Standard deviation (4 marks)

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Elementary Statistics SQQS 1013 Second Semester 2010/2011 -----------------------------------------------------------------------------------------------------------QUESTION 2 (30 MARKS) The number of raisins in miniboxes (1/2-ounce size) was counted for a Generic brand and for Moonmaid brand raisins. The two data sets are shown in TABLE 2. TABLE 2 Generic Brand 23 29 25 24 26 29 29 27 26 27 24 25 26 26 a) Construct box plot. (16 marks) b) For each brand, provide the most suitable central tendency measure and state the reason why you choose the value. (6 marks) c) Which brand has more variation on the number of raisins? Interpret your answer. (8 marks) Moonmaid 25 29 24 24 27 25 26 22 25 29 30 27 25

QUESTION 3 (16 MARKS) The 300 students in a faculty include undergraduates and postgraduates who may study full time or part time. Given that 210 of them are undergraduates, out of whom 200 are full time students. Also it known that a total of 25 of students are part time. a) Draw a venn diagram for the event above. (4 marks) b) Draw a tree diagram with the probabilities for the events. (3 marks) c) A student is selected at random. What is the probability that he/she is i. A full time undergraduate (2 marks) ii. A postgraduate or a part time student (2 marks) iii. A postgraduate if he/she is a full time student (2 marks) d) Describe any mutually exclusive events. (3 marks) ------------------------------------------------------------------------------------------------------UUM_CAS 2

Group Assignment

Elementary Statistics SQQS 1013 Second Semester 2010/2011 -----------------------------------------------------------------------------------------------------------QUESTION 4 (17 MARKS) A production manager knows that 5.5% of computer chips produced by a particular manufacturing process have some defect. A random sample of 5 computer chips are selected, whose characteristics can be assume to be independent of each other, were examined. Let X denotes the number of defective computer chips. a) Explain how X is distributed? (2 marks) b) Construct a probability distribution for the number of defective computer chips. (3 marks) c) Represent graphically the probability distribution for (a) above. (3 marks) d) Find the probability that; i. Exactly 2 computer chips are defective (3 marks) ii. Between 4 to 5 computer chips are defective (3 marks) e) What is the expected value of defective computer chips? Explain. (3 marks)

QUESTION 5 (9 MARKS) The number of traffic accidents that occurs on a particular road during a month follows a Poisson distribution with a mean of 3. a) Why can we say that the above situation follows Poisson distribution? (2 marks) b) Find the probability that; i. ii. Less than 2 accidents will occur in a week (3 marks) 5 or more accidents will occur in 2 months (4 marks)

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Group Assignment

Elementary Statistics SQQS 1013 Second Semester 2010/2011 -----------------------------------------------------------------------------------------------------------APPENDIX: Cover page

UNIVERSITI UTARA MALAYSIA COLLEGE OF ART AND SCIENCE FIELD OF PHYSICAL SCIENCES

SQQS1013 ELEMENTARY STATISTICS GROUP ASSIGNMENT SECOND SEMESTER SESSION 2010/2011

LECTURER NAME

GROUP

GROUP MEMBERS + MATRIC. NO

14TH APRIL 2011

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Group Assignment