document.write( "Question 1178794: I need help for the following questions. Really appreciate it.\r
\n" ); document.write( "\n" ); document.write( "A sample of 40 observations is selected from one population with a population standard deviation of 3.9. The sample mean is 102. A sample of 53 observations is selected from a second population with a population standard deviation of 3.2. The sample mean is 101. Conduct the following test of hypothesis using the 0.05 significance level. a. Is this a one-tailed or a two-tailed test? b. State the decision rule. c. Compute the value of the test statistic. d. What is your decision regarding Ho ? e. What is the p-value?
\n" ); document.write( "H0:μ1=μ2;H1:μ1≠μ2
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Algebra.Com's Answer #808246 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Hi\r\n" );
document.write( "|sample | 40 | 53 |\r\n" );
document.write( "|Mean | 102| 101 |\r\n" );
document.write( "|Standard Deviation | 3.9 | 3.2 |\r\n" );
document.write( "Are the sample means no different or different?\r\n" );
document.write( "Ho: u1 = u2\r\n" );
document.write( "Ha: ui ≠ u2\r\n" );
document.write( ".05 confidence level, 2 tailed t-test:  |t (df 93-2=91)| > 1.99 Reject Ho\r\n" );
document.write( "t=(x bar-mean)/sqrt ((s1^2/n1)+(s2^2/n2))\r\n" );
document.write( "t= (1)/sqrt ((15.21/40)+(10.24/53)) = 1.32\r\n" );
document.write( " 1.32 <1.99 Fail to Reject Ho, study indicates statistically the sample means\r\n" );
document.write( "are no different.\r\n" );
document.write( "p-value = .095\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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