document.write( "Question 1062164: You are applying for jobs at two companies. Company C offers starting salaries with μ = $39,000 and σ = $4000. Company D offers starting salaries with μ = $39,000 and σ = $1500. From which company are you more likely to get an offer of $42,000 or more? Explain your reasoning. \n" ); document.write( "
Algebra.Com's Answer #677022 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! We use a normal distribution and calculate the z-score for each company \n" ); document.write( ": \n" ); document.write( "z-score for Company C = (42000 - 39000) / 4000 = 0.75 \n" ); document.write( ": \n" ); document.write( "z-score for Company D = (42000 - 39000) / 1500 = 2.00 \n" ); document.write( ": \n" ); document.write( "We consult z-tables for Probability(Pr) \n" ); document.write( ": \n" ); document.write( "Pr ( X > 42000 ) for C = 1 - Pr ( X < 42000 ) = 1 - 0.7734 = 0.2266 \n" ); document.write( ": \n" ); document.write( "Pr ( X > 42000 ) for D = 1 - Pr ( X < 42000 ) = 1 - 0.9772 = 0.0228 \n" ); document.write( ": \n" ); document.write( "********************************************** \n" ); document.write( "The probability is greater with Company C that \n" ); document.write( "you will get an offer of $42000 or greater \n" ); document.write( "********************************************** \n" ); document.write( ": \n" ); document.write( " |