QMS TEST 2 REVIEW+SOLUTIONS(Fall2012).doc

15 Pages
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Department
Quantitative Methods
Course Code
QMS 102
Professor
Jason Chin- Tiong Chan

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Description
For Questions 1 to 6, refer to the following information The Box-and-Whisker plots show the results of the quiz and test for QMS102 in Fall2010 Question 1. Calculate the mode for the quiz result of QMS102 in Fall2010 Question 2. Describe the distribution for the test result of QMS102 in Fall 2010 A. Normally distributed B. Negatively skewed C. Positively skewed D. No skewness E. Symmetrical Question 3. Select the most appropriate measure of central tendency to describe the quiz result. A. mean B. median C. mode D. standard deviation E. interquartile range Question 4. Select the most appropriate measure of central tendency to describe the test result. A. mean B. median C. mode D. standard deviation E. interquartile range 1 Question 5. Compute the standard deviation for the quiz result based on the box-and-whisker plot. A. 23.456 B.34.762 C.52.932 D.57.773 E. Cannot be computed Question 6. Can we calculate the interquartile range for the test result based on the box-and- whisker plot? A. Yes B. No Question 7. According to the Ryerson Accounting Firm, the chances of your tax return being audited by Revenue Canada are about 11 in 1000 if your income is less than $60,000. The chances increase to 24 in 1000 if your income is more than $60,000. You are presently employed by an accounting firm and have prepared tax returns for 47 clients with income under $60,000 and for 68 clients with income over $60,000. a. Determine the probability that at least one of the clients with income under $60,000 will be audited. b. Determine the probability that at least 5 of the clients with income over $60,000 will be audited. Question 8. The length of life of a certain type of DVD is normally distributes with a mean of 6.0 years and a standard deviation of 1.3 years. Each DVD sold is under guarantee and is replaced if its length of life is less than guaranteed length of life. What period of time should the manufacturer of this type of DVD give as a guarantee if he is willing to replace no more than 6% of the DVDs? Question 9. Ryerson Company has its annual sales convention in Hong Kong each year for its top sellers. The Toronto office of the firm has kept records of the trip cost over the past years. The mean cost per person has been $4400 with a standard deviation of $300. The distribution of the cost per person has been normally distributed. a. If only one person from the Toronto office is eligible to attend this year convention, what is the probability that the cost will be between $4000 and $5000? b. If nine people from the Toronto office are eligible, what is the probability that the average cost of these five people will exceed $4500? 2 For Questions 10 to 20, refer to the following information Forty people were each asked how many times they ate at their favorite restaurant in the last 12 months. The results are summarized in the Stem-and- Leaf display below. Stem (tens) Leaves 0 012356789 1 155589 2 0348 3 27899 4 0147779 5 368 6 14 7 8 2459 Question 10. Calculate the mean Question 11. Calculate the sample standard deviation Question 12. Calculate the interquartile range Question 13. Calculate the left inner fence Question 14. Calculate the right inner fence Question 15. Calculate the smallest value for the left whisker Question 16. Calculate the largest value for the right whisker Question 17. Calculate the left outer fence 3
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