document.write( "Question 360768: The average monthly mortgage payment for recent home buyers in certain city is μ = $732, with standard deviation of σ = $421 A random sample of 125 recent home buyers is selected. The approximate probability that their average monthly mortgage payment will be more than $782 is:\r
\n" ); document.write( "\n" ); document.write( " A. 0.3822
\n" ); document.write( " B. 0.0918
\n" ); document.write( " C. 0.1976
\n" ); document.write( " D. 0.4556
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #257448 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The average monthly mortgage payment for recent home buyers in certain city is μ = $732, with standard deviation of σ = $421
\n" ); document.write( "A random sample of 125 recent home buyers is selected.
\n" ); document.write( "The approximate probability that their average monthly mortgage payment will be more than $782 is ?
\n" ); document.write( "---
\n" ); document.write( "t(782) = (782-732)/[421/sqrt(125)] = 4.4721
\n" ); document.write( "---
\n" ); document.write( "P(x-bar > 782) = P(t > 4.4721 when df = 124)
\n" ); document.write( "= tcdf(4.4721,100,124) = 0.00000838
\n" ); document.write( "--------------------
\n" ); document.write( "There must be a typo here some place.
\n" ); document.write( "--------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "-----
\n" ); document.write( "A. 0.3822
\n" ); document.write( "B. 0.0918
\n" ); document.write( "C. 0.1976
\n" ); document.write( "D. 0.4556 \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );