Penn: 155 142 149 130 151 163 151 142 156 133 138 161
NY: 133 140 142 131 134 129 128 140 140 140 137 143
a)
t value at 95% = 2.2010
CI = (x1 -x2) +/- t *sqrt(s1^2/n1+s2^2/n2)
= (147.5833 - 136.4167) +/- 2.2010 * sqrt(10.6383^2/12 +
5.2129^2/12)
= (3.6395,18.6938)
The 95% CI is (3.6395,18.6938)
b)
yes, because confidence interval does not contain the
hypothesized value i.e.0
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