document.write( "Question 1119965: You wish to test the following claim (Ha) at a significance level of α=0.002.\r
\n" ); document.write( "\n" ); document.write( "Ho:μ=57.6
\n" ); document.write( "Ha:μ<57.6\r
\n" ); document.write( "\n" ); document.write( "You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=24 with mean M=48.7 and a standard deviation of SD=17.5.\r
\n" ); document.write( "\n" ); document.write( "What is the p-value for this sample? (Report answer accurate to four decimal places.)
\n" ); document.write( "p-value =
\n" ); document.write( "

Algebra.Com's Answer #735617 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
You wish to test the following claim (Ha) at a significance level of α=0.002.
\n" ); document.write( "Ho:μ=57.6
\n" ); document.write( "Ha:μ<57.6
\n" ); document.write( "You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=24 with mean M=48.7 and a standard deviation of SD=17.5.
\n" ); document.write( "What is the p-value for this sample? (Report answer accurate to four decimal places.)
\n" ); document.write( "sample mean = 48.7
\n" ); document.write( "z(48.7) = (48.7-57.6)/(17.5/sqrt(24)) = -0.0256
\n" ); document.write( "p-value = P(z < -0.0256) = normalcdf(-100,-0.0256) = 0.4897
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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