document.write( "Question 1018558: According to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $1,925. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $610. (Round z-score computation to 2 decimal places and your final answers to 2 decimal places.)
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document.write( "a. What percent of the adults spend more than $2,725 per year on reading and entertainment?
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document.write( "b. What percent spend between $2,725 and $3,125 per year on reading and entertainment?
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document.write( "c. What percent spend less than $1,300 per year on reading and entertainment?
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Algebra.Com's Answer #634651 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! According to a government study among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $1,925. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $610. (Round z-score computation to 2 decimal places and your final answers to 2 decimal places.)\r \n" ); document.write( "\n" ); document.write( "a. What percent of the adults spend more than $2,725 per year on reading and entertainment? \n" ); document.write( "------- \n" ); document.write( "z(2725) = (2725-1925)/610 = 1.3115 \n" ); document.write( "------ \n" ); document.write( "P(x > 2725) = P(z > 1.3115) = normalcdf(1.3115,100) = 0.0948 \n" ); document.write( "-------------------------------------\r \n" ); document.write( "\n" ); document.write( "Percent % = 9.48% \n" ); document.write( "----------------------- \n" ); document.write( "=============================== \r \n" ); document.write( "\n" ); document.write( "b. What percent spend between $2,725 and $3,125 per year on reading and entertainment? \n" ); document.write( "Using the TI-84 normalcdf function:: \n" ); document.write( "normalcdf(2725,3125,1925,610) = 0.0703\r \n" ); document.write( "\n" ); document.write( "Percent % = 7.03% \n" ); document.write( "--------------------------- \r \n" ); document.write( "\n" ); document.write( "c. What percent spend less than $1,300 per year on reading and entertainment?\r \n" ); document.write( "\n" ); document.write( "Percent % \n" ); document.write( "Find the z value of 1300; Find the Probability of z less then that \n" ); document.write( "z value. \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |