document.write( "Question 306615: For μ = 60 and σ = 7
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document.write( "1. z score of 78
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document.write( "2. z score of 45
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document.write( "3. probability of 59
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document.write( "4. probability of 62
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document.write( "5. score at z = 1.64
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document.write( "6. score at z = –1.96
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document.write( "7. percent less than 73
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document.write( "8. proportion between 45 and 78
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Algebra.Com's Answer #219394 by stanbon(75887) ![]() You can put this solution on YOUR website! For μ = 60 and σ = 7 \n" ); document.write( "1. z score of 78 = (78-60)/8 = 18/8 \n" ); document.write( "-------------------------------------- \n" ); document.write( "2. z score of 45 = (45-60)/8 = -15/8 \n" ); document.write( "------------------------------------ \n" ); document.write( "3. probability of 59 = 0 \n" ); document.write( "------------------------------------ \n" ); document.write( "4. probability of 62 = 0 \n" ); document.write( "------------------------------------ \n" ); document.write( "5. score at z = 1.64 \n" ); document.write( "x = 1.64*8+60 = 75.12 \n" ); document.write( "------------------------ \n" ); document.write( "6. score at z = –1.96 \n" ); document.write( "x = -1.96*8+60 = 44.32 \n" ); document.write( "------------------------ \n" ); document.write( "7. percent less than 73 \n" ); document.write( "z(73) = (73-60)/8 = 13/8 \n" ); document.write( "Percent < 73 = P(z < 13/8) = normalcdf(-100,13/8) = 0.9479 \n" ); document.write( "-------------------------------------------------------- \n" ); document.write( "8. proportion between 45 and 78 \n" ); document.write( "z(45) = (45-60)/8 = -15/8 \n" ); document.write( "z(78) = (78-60)/8 = 18/8 \n" ); document.write( "-- \n" ); document.write( "P(45 < x < 78) = P(-15/8 < z < 18/8) = 0.9574 \n" ); document.write( "======================================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================================== \n" ); document.write( " |