document.write( "Question 1178323: A company manufacture nails using two machines (two technologies) bearing the same cost of
\n" ); document.write( "production for one nail. However; the company needs to examine whether the lengths of nails
\n" ); document.write( "produced by two machines are similar (in centimetres)\r
\n" ); document.write( "\n" ); document.write( "|Machine | A | B |
\n" ); document.write( "|Mean | 1.3cm | 1.6cm |
\n" ); document.write( "|Standard Deviation | 0.5cm | 0.3cm |
\n" ); document.write( "|Number of nails | 22 | 24 |\r
\n" ); document.write( "\n" ); document.write( "1.What is the test you are going to conduct to examine whether there is any difference between the lengths of nails produced by two techniques?
\n" ); document.write( "2.Mention the null hypothesis?
\n" ); document.write( "3.Write the formula for this test and define the each value.
\n" ); document.write( "4.Plug these values to the formula and get your test statics? \n" ); document.write( "

Algebra.Com's Answer #807555 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi\r\n" );
document.write( "|Machine | A | B |\r\n" );
document.write( "|Mean | 1.3cm | 1.6cm |\r\n" );
document.write( "|Standard Deviation | 0.5cm | 0.3cm |\r\n" );
document.write( "|Number of nails | 22 | 24 |\r\n" );
document.write( "Are lengths of nails produced by two machines similar or Different?\r\n" );
document.write( "Ho: p = 1.6\r\n" );
document.write( "Ha: p (different)\r\n" );
document.write( ".05 confidence level, 2 tailed t-test:  t (df 46-2=44) = 2.015\r\n" );
document.write( "t=(x bar-mean)/sqrt ((s1^2/n1)+(s2^2/n2))\r\n" );
document.write( "t= (.3)/sqrt ((.25/22)+(.09/24)) = 2.440\r\n" );
document.write( " 2.440 > 2.015 Reject Ho, study indicates length of the nails are different\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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