document.write( "Question 251649: a hypothesis will test that two population means are equal. a sample of 10 with a standard deviation of 3 is selected from the first population and a smaple of 3 is selected from the first population. the standard deviations are not equal. testing the claim at the .01 level, what is the critical value? Assume unequal standard deviations\r
\n" ); document.write( "\n" ); document.write( "a. 2.845
\n" ); document.write( "b. 2.787
\n" ); document.write( "c. 2.807
\n" ); document.write( "d. 2.977
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Algebra.Com's Answer #183408 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
a hypothesis will test that two population means are equal. a sample of 10 with a standard deviation of 3 is selected from the first population and a sample of 3 is selected from the first population with standard deviation = 8. The standard deviations are not equal.
\n" ); document.write( "Testing the claim at the .01 level, what is the critical value?
\n" ); document.write( "Assume unequal standard deviations
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\n" ); document.write( "df = n1+n2-2 = 10+3-2 = 11
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\n" ); document.write( "Critical value for 2-tail test, when df=11 and alpha = 1%
\n" ); document.write( "= invT(0.995,11) = 3.1058
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\n" ); document.write( "That is not one of your listed answers but it is the
\n" ); document.write( "critical value for your posted problem.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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\n" ); document.write( "\n" ); document.write( "a. 2.845
\n" ); document.write( "b. 2.787
\n" ); document.write( "c. 2.807
\n" ); document.write( "d. 2.977\r
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