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Chapter#5 Ques#29 Chap 6 Ques. # 41 pg. 128/129 Employee Testing The slope for the correlation line when expressed in z-scores is r. Hence when...

29. The mosaic plot below shows the sales of cigarettes by the three leading manufacturers, divided into six international regions. (Total sales in 2006 were approximately 2 trillion).
a. In which region are total cigarette sales the largest?
b. In which two regions does British-American Tobacco command more than half the market?
c. Which share leads to higher sales: 80% of the market in the US and Canada(like that of Philip Morris) or 80% of the market in Asia and the Pacific?
d. Can you easily tell what percentage of Phillip Morris’s sales is in western Europe?
e. Are brand and region associated?

Chapter#5 Ques#29 Chap 6 Ques. # 41 pg. 128/129
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Employee Testing The slope for the correlation line when expressed in z-scores is r. Hence when formulated in z- scores, the absolute value of the slope is less than 1 unless the data lie along a single line. The data in this example are productivity measures used to grade 15 employees who work on an assembly line. Each employee was tested once, then a month later. See table: # 0f Employees First Test Second Test 1 50 58 2 35 46 3 15 40 4 64 76 5 53 62 6 18 39 7 40 57 8 24 41 9 16 31 10 67 75 11 46 62 12 64 64 13 32 54 14 71 65 15 16 51 TOTALS 611 821 (a) Would you expect the scores to be associated? (b) Make a scatter plot of the data, with the first test along the x-axis. Describe the relationship if any? (c) On the basis of correlation, if an employee scores two SDs above the mean of the first test, do you expect him or her to be so far above the mean on the second test? (d) Find the employee with the highest score on the first test. The score for this employee is not the best on the second test. Does this relative decline mean the employee has become less productive, or can you offer an alternative reason for the relatively lower score?
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a) Since the probability related to the region Asia& Pacific is largest so in
this region the sale is largest.
b) In latin American and Middle East& Africa,
c) The total sale is US &...

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