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MAT221-2006Spring

# MAT221-2006Spring - S pring 2006 H Kim M AT 2 21 F inal A N...

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Spring, 2006 H. Kim MAT 221 Final A Name: _ Instructor's name: _ ********** 1. There are 7 problems and a total of 8 pages in this booklet. 2. Show all of your work and label your answers clearly. Unexplained answers will not get the full credit. ********** 1 2 3 4 5 6 7 I Total I 1

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1. (12 pts) The mean replacement time for a random sample of 25 washing machines of Brand A is 9.3 years. (a) Assuming that (J = 2.1 years, construct a 95% confidence interval for the mean replace- ment time for washing machines of this brand. (b) Suppose that you were dissatisfied with the width of the confidence interval, and wanted to cut the margin of error to ±O.5, keeping the same confidence level of 95%. How many washing machines (total) would have to be included in the new sample? 2
Heart, Diamond) of each of the following cards, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace. Consider the following events: A: the card is an Ace B: the card is Red (Heart or Diamond) C: the card is the Queen of Spade D: the card is a face card (Jack, Queen or King) (a) Find the following probabilities: P(A), P(B), P(C) and P(D). (b) Find

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MAT221-2006Spring - S pring 2006 H Kim M AT 2 21 F inal A N...

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