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1. The following data show the yearly salaries of soccer coaches at some state supported universities. University Salary (in $1,000) A 53 44 68 D

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1. The following data show the yearly salaries of soccer coaches at some state supported universities. University Salary (in $1,000) A 53 44 68 D 47 E 62 F 59 G 53 H 94 For the above sample, determine the following measures: a ) The mean yearly salary. b ) The range. c ) The variance. (Round to the nearest whole number) d ) The standard deviation. (Round to the nearest whole number) e ) The coefficient of variation. (Round to the second decimal place)Assume that each of these coaches could as well move to Canada and earn the same salary in that country (subject to conversion to Canadian dollars). Also, assume that 1 U.S. dollar is equal to 1.30 Canadian dollars. Therefore, for example, the first coach would earn 68,900 Canadian dollars instead of 53,000 U.S. dollars. f ) Recalculate the yearly salary of each coach. g ) Recalculate the mean yearly salary. h ) Recalculate the range. i ) Recalculate the variance. (Round to the nearest whole number) j ) Recalculate the standard deviation. (Round to the nearest whole number) k ) Recalculate the coefficient of variation. (Round to the second decimal place) 1 ) Comment on your results. How did the change of scale affect these measures?Further, assume that a coach who decides to move to Canada receives an additional yearly relo- cation bonus of 5,000 Canadian dollars. Therefore, for example, the first coach would earn 73,900 Canadian dollars instead of 68,900 Canadian dollars (or 53,000 U.S. dollars). m ) Recalculate the yearly salary of each coach. n ) Recalculate the mean yearly salary. o ) Recalculate the range. p ) Recalculate the variance. (Round to the nearest whole number) q ) Recalculate the standard deviation. (Round to the nearest whole number) r ) Recalculate the coefficient of variation. (Round to the second decimal place) s ) Comment on your results. How did the change of scale affect these measures

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