document.write( "Question 447603: In a new york modeling agency, a research wishes to see if the average height of female models is really less than 67 inches,as the chief claims. a sample of 20 models has an average height of 65.8 inches. the standard deviation of the sample is 1.7 inches. at a=0.05,is the average height of the models really less than 67 inches? use the p-value method . \n" ); document.write( "

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In a new york modeling agency, a research wishes to see if the average height of female models is really less than 67 inches,as the chief claims. a sample of 20 models has an average height of 65.8 inches. the standard deviation of the sample is 1.7 inches. at a=0.05,is the average height of the models really less than 67 inches? use the p-value method .
\n" ); document.write( "------------
\n" ); document.write( "Ho: u >= 67 in.
\n" ); document.write( "Ha: u < 67 (claim)
\n" ); document.write( "--------------------
\n" ); document.write( "t(65.8)= (65.8-67)/[1.7/sqrt(20)] = -3.1568
\n" ); document.write( "----
\n" ); document.write( "p-value is P(t < -3.1568 when df = 19) = 0.0026
\n" ); document.write( "========================
\n" ); document.write( "Conclusion: Since the p-value is less than 5%, reject Ho
\n" ); document.write( "at the 5% level of significance.
\n" ); document.write( "The test results support the claim.
\n" ); document.write( "=======================================
\n" ); document.write( "cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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