Test whether the claim that the two sample groups come from populations with the same mean or not.

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irwchh · Accepted Answer

State the test hypotheses.  Let first population denote the treatment and the second population denote the placebo.  Null hypothesis:  H0:μ1=μ2  Alternative hypothesis:  H1:μ1≠μ2  Test statistic:  The test statistic formula is,  t=(x―1−x―2)−(μ1−μ2)sp2n1+sp2n2  Where sp2=(n1−1)s12+(n2−1)s22(n1−1)+(n2−1)  With degrees of freedom df=n1+n2−2  Let x―1 denotes the first sample mean, s―1 denotes the first sample standard deviation, n1 denotes the first sample size, x―2 denotes the second sample mean, s2 denotes the second sample standard deviation, n2 denotes the second sample size, μ1 denotes the first sample population mean, and μ2 denotes the second sample population mean.  The pooled sample variance is,  sp2=(n1−1)s12+(n2−1)s22(n1−1)+(n2−1)  =(22−1)(0.015)2+(22−1)(0.000)2(22−1)+(22−1)  =0.004725+042  =0.0001125  Substitute n1=22x―1=0.049,sp2=0.0001125,n2=22 and x―2=0.000 in the test statistic formula  t=(0.049−0.000)0.000112522+0.000112522  =0.0490.0032

Test whether the claim that the two sample groups come from populations with the

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