# 92wfx - ADM 2303 D Length 14 pages Professor T Quon Time 3...

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ADM 2303 D STATISTICS FOR MANAGEMENT I April 30, 1992 Length: 14 pages Professor: T. Quon Time: 3 hours Student Name (please print):_____________________________________________ Signature:___________________________________________ Student Number: Instructions: 1. You are permitted one sheet of notes and a calculator. 2. Please read carefully. Solutions should be brief but complete. Remember to indicate units where appropriate. 3. Statistical tables are provided separately. 4. The value of each part of the exam is indicated in square brackets. Question Value Mark 1 4 2 8 3 9 4 10 5 10 6 18 7 14 8 13 9 14 Total 100 1.[4] Domestic users of electrical power in Ottawa-Carleton consume an average of 30 kwh per day with a standard deviation of 15 kwh per day. Suppose a random sample of 50 households is taken. What is the probability that that observed mean usage is more than 35 kwh per day? (Make sure you state any assumptions and explain your work.) Assumption(s): 2. Identify the most likely probability distribution (along with its parameters) which describes the specified random variable in the following situations. Explain BRIEFLY. [2] (a) A toll-free telephone number is called on average 4 times per minute during business hours. What is the distribution of the number of calls in a five-minute period? [3] (b) A natural food preserver knows that the sugar content of the syrup in her peaches has a mean of 20g per 100ml and a standard deviation of 1g per 100 ml. What is the distribution of the mean sugar content of a sample of 35 jars chosen at random? [3] (c) Hockey Night in Canada in the past has attracted 20% of the national viewership for a Stanley Cup playoff series. If a random sample of 20 households is surveyed, what is the distribution of the number who watch this program?

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3. Consider the following boxplots of crop yields (in pounds per acre) for farms in a prairie district from 1981-1987: Boxplot: data from 0.000 to 999.000 by steps of 15.0000 81) -------------------- * * ------------I + I--- -------------------- 82) ----------------- * * * -I + I------- ----------------- 83) -------- O * * ----------I + I-------- -------- 84) ------------ ** ---------I + I--------- ------------ 85) ----------------------- * -------------------------------I + I-------- ----------------------- 86) ----------------------------------------------------- ------I + I-------- ----------------------------------------------------- 87) ------------------ * ------I + I-------- ------------------ [2] (a) Which year was the "worst"? Justify your choice BRIEFLY. [2] (b) Which year was the "best" for the farmers in terms of yield? Justify your choice BRIEFLY. [2] (c) Which year or years had the most variable yield? Justify your choice(s) BRIEFLY. [3]
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92wfx - ADM 2303 D Length 14 pages Professor T Quon Time 3...

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