93ffx - ADM2303 Final Exam December 10 1993 1 ADM 2303...

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ADM2303 Final Exam December 10 1993 1 ADM 2303 Final Examination December 10, 1993 NAME: ______________________________________________ Student Number: ________________________ Signature: _______________________________________ Professor (circle): J C Nash S Phansalker Section (circle): A -- Wed. 1300, Fri. 1130 B -- Wed. 1000, Fri. 0830 C -- Mon. 1900 Answer all questions in the space provided. Show your work explicitly. State your final answers clearly. Calculator, ruler and 1 page of formulae or notes allowed. Tables of Gaussian (Normal) and Student's t are provided. Do NOT take the examination book apart. Time: 3 hours Question Marks Score 1 18 2 14 3 10 4 13 5 11 6 9 7 13 8 12 ====== ======= ======= Total 100
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ADM2303 Final Exam December 10 1993 2 Qu. 1 (total 18 marks) The following are the U.S. Unemployment rates (U) in (percent workers unemployed) for the years 1961 to 1985. Year U Year U 1973 4.9 1961 6.7 1974 5.6 1962 5.6 1975 8.5 1963 5.6 1976 7.7 1964 5.2 1977 7.0 1965 4.5 1978 6.0 1966 3.8 1979 5.8 1967 3.9 1980 7.1 1968 3.6 1981 7.6 1969 3.5 1982 9.7 1970 4.9 1983 9.6 1971 5.9 1984 7.5 1972 5.6 1985 7.2 a. ( 4 ) Draw the stem and leaf diagram for the above data with appropriate units
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ADM2303 Final Exam December 10 1993 3 Qu. 1 (cont.) Calculate the following statistics and explain how they help to describe the distribution of the data: b. ( 4 ) Mean, Median, and Mode c. ( 3 ) Standard Deviation and the Coefficient of Variation d. ( 3 ) The Interquartile range
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ADM2303 Final Exam December 10 1993 4 Qu. 1 (cont.) e. ( 1 ) The ninetieth percentile f. ( 2 ) What is the z-score of Unemployment rate for the year 1969? Is it an outlier? g. ( 2 ) Does the following output match the data given above? Is it skewed, and if so, in which direction? MTB > hist c2 Histogram of C2 N = 25 Midpoint Count 4 4 **** 5 4 **** 6 7 ******* 7 4 **** 8 3 *** 9 1 * 10 2 **
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ADM2303 Final Exam December 10 1993 5 Qu. 2 (total 14 marks) The vice president of human resources of a very large investment firm has reviewed the records of the firms's personnel and found that 75% of the employees read the Wall Street Journal . If the VP was to choose 6 employees at random, a. ( 2 ) What distribution would you use to compute the probability a given number of employees read the Wall Street Journal and why? b. What is the probability that the number of the employees in the sample who read the Wall Street Journal ( WSJ ) is the following: i. ( 2 ) At least equal to three ii. ( 2 ) Between two and four inclusive c. ( 2 ) What would be the expectation and standard deviation of the number of people (of the 6 selected) who read WSJ ?
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ADM2303 Final Exam December 10 1993 6 Qu. 2 (cont.) d. ( 3 ) If you randomly chose 200 employees in the firm, what is the probability 140 or more of them would be WSJ readers? e. (
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93ffx - ADM2303 Final Exam December 10 1993 1 ADM 2303...

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