Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Use a significance level of α=0.1
Sample 1: n1=12, x¯¯¯1=22, s1=9.49
Sample 2: n2=4, x¯¯¯2=20.5, s2=6.62
(a) The degree of freedom is
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(b) The test statistic is
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(c) The final conclusion is
A. There is not sufficient evidence to reject the null hypothesis that (μ1−μ2)=0
.
B. We can reject the null hypothesis that (μ1−μ2)=0
and accept that (μ1−μ2)≠0
.
