document.write( "Question 953982: We make the claim that the mean test score on a statistics exam is 75 with σ = 5. We believe the mean may be higher. With 95% confidence, we take a random sample of 25 test scores to test our theory. (15 Points)\r
\n" ); document.write( "\n" ); document.write( "State the null and alternative hypotheses:\r
\n" ); document.write( "\n" ); document.write( "Draw the curves and label alpha and beta:\r
\n" ); document.write( "\n" ); document.write( "Unstandardize and solve for n:
\n" ); document.write( "

Algebra.Com's Answer #582605 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
We make the claim that the mean test score on a statistics exam is 75 with σ = 5. We believe the mean may be higher. With 95% confidence, we take a random sample of 25 test scores to test our theory. (15 Points)
\n" ); document.write( " State the null and alternative hypotheses:
\n" ); document.write( "Ho: u <= 75
\n" ); document.write( "Ha: u > 75 (claim)
\n" ); document.write( "-----------------------------
\n" ); document.write( "Draw the curves and label alpha and beta:
\n" ); document.write( "Draw a normal curve with mean = 0
\n" ); document.write( "alpha is 5% and is the right tail of the curve
\n" ); document.write( "The remainder of the area under the curve is Beta
\n" ); document.write( "The t-score-boundary for the alpha region is t = 1.7109
\n" ); document.write( "Unstandardize and solve for n:
\n" ); document.write( "The score associated with the boundary = 1.7109(5/sqrt(25))+ 75 = 76.7109
\n" ); document.write( "---------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "------------------
\n" ); document.write( "
\n" );