document.write( "Question 1051139: Suppose x has a distribution with μ = 25 and σ = 23.\r
\n" ); document.write( "\n" ); document.write( "(a) If a random sample of size n = 44 is drawn, find μx, σ x and P(25 ≤ x ≤ 27). (Round σx to two decimal places and the probability to four decimal places.)
\n" ); document.write( "μx =
\n" ); document.write( "σ x =
\n" ); document.write( "P(25 ≤ x ≤ 27) = \r
\n" ); document.write( "\n" ); document.write( "(b) If a random sample of size n = 74 is drawn, find μx, σ x and P(25 ≤ x ≤ 27). (Round σ x to two decimal places and the probability to four decimal places.)
\n" ); document.write( "μx =
\n" ); document.write( "σ x =
\n" ); document.write( "P(25 ≤ x ≤ 27) =
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #666727 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Suppose x has a distribution with μ = 25 and σ = 23.
\n" ); document.write( "(a) If a random sample of size n = 44 is drawn, find μx-bar, σ x-bar and
\n" ); document.write( "P(25 ≤ x-bar ≤ 27). (Round σx=bar to two decimal places and the probability to four decimal places.)
\n" ); document.write( "μx-bar = ux = 25
\n" ); document.write( "σ x-bar = 23/sqrt(44) = 3.4674
\n" ); document.write( "-----
\n" ); document.write( "z(25) = 0
\n" ); document.write( "z(27) = (25-27)/3.4674 = 0.5768
\n" ); document.write( "P(25 ≤ x-bar ≤ 27) = P(0< z < 0.4768) = 0.1832
\n" ); document.write( "------------------------------------------------
\n" ); document.write( "(b) If a random sample of size n = 74 is drawn, find μx, σ x and P(25 ≤ x ≤ 27). (Round σ x to two decimal places and the probability to four decimal places.)
\n" ); document.write( "I'll leave this to you.
\n" ); document.write( "μx =
\n" ); document.write( "σ x =
\n" ); document.write( "P(25 ≤ x ≤ 27) =
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );