document.write( "Question 1033402: Two groups of students were given tests in Physics. Group A with 17 stubents yielded a mean score of 48 with a std dev of 6.4. Group B with 10 students yielded a mean score of 52 and with a std dev of 7.8. At 10% significance level, did the two groups performed at par with each other? \n" ); document.write( "

Algebra.Com's Answer #648007 by stanbon(75887) $\"\"$ $\"About$

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Two groups of students were given tests in Physics. Group A with 17 stubents yielded a mean score of 48 with a std dev of 6.4. Group B with 10 students yielded a mean score of 52 and with a std dev of 7.8. At 10% significance level, did the two groups performed at par with each other?
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\n" ); document.write( "Ho: u1 - u2 = 0
\n" ); document.write( "Ha: u1 - u2 # 0
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\n" ); document.write( "Sample difference:: 52-48 = 4
\n" ); document.write( "std dev of the difference of means:: sqrt[(52^2/17)+(48^2/10)] = 19.73
\n" ); document.write( "t(52-48) = [4-0]/19.73 = 0.2027
\n" ); document.write( "---
\n" ); document.write( "P-value = 2*P(t > 0.2027 when df = 17+10-2 = 25) = 2*tcdf(0.2027,100,25) = 0.8410
\n" ); document.write( "---
\n" ); document.write( "Since the p-value is greater than 0.05, fail to reject Ho.
\n" ); document.write( "The test results support the claim that the two groups performed at
\n" ); document.write( "par with each other.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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