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Assignment $10$

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Question $3$

Calculate the $95\%$ confidence interval for the difference $($mu$1-$mu$2)$ of two population means given the following sampling results. Population $1$ : sample size $=16,$ sample mean $=16\mathrm{.}84,$ sample standard deviation $=4\mathrm{.}10.$ Population $2$ : sample size $=11,$ sample mean $=3\mathrm{.}53,$ sample standard deviation $=1\mathrm{.}82.$

Your answer:

$9\mathrm{.}43$ mu$1-$ mu$2<mn\; id="EditorElement\_46578">1</mn><mn\; id="EditorElement\_46579">7</mn><mn\; id="EditorElement\_46580">.</mn><mn\; id="EditorElement\_46581">1</mn><mn\; id="EditorElement\_46582">8</mn>$

$10\mathrm{.}01$ mu$1-$ mu$2<mn\; id="EditorElement\_46526">1</mn><mn\; id="EditorElement\_46527">6</mn><mn\; id="EditorElement\_46528">.</mn><mn\; id="EditorElement\_46529">6</mn><mn\; id="EditorElement\_46530">0</mn>$

$11\mathrm{.}58$ mu$1-$ mu $2<mn\; id="EditorElement\_46474">1</mn><mn\; id="EditorElement\_46475">5</mn><mn\; id="EditorElement\_46476">.</mn><mn\; id="EditorElement\_46477">0</mn><mn\; id="EditorElement\_46478">3</mn>$

$8\mathrm{.}88$ mu$1-$ mu $2<mn\; id="EditorElement\_46422">1</mn><mn\; id="EditorElement\_46423">7</mn><mn\; id="EditorElement\_46424">.</mn><mn\; id="EditorElement\_46425">7</mn><mn\; id="EditorElement\_46426">3</mn>$

$12\mathrm{.}78$ mu$1-$ mu$2<mn\; id="EditorElement\_46368">1</mn><mn\; id="EditorElement\_46369">3</mn><mn\; id="EditorElement\_46370">.</mn><mn\; id="EditorElement\_46371">8</mn><mn\; id="EditorElement\_46372">3</mn>$

$10\mathrm{.}89$ mu $1-2<mn\; id="EditorElement\_46319">1</mn><mn\; id="EditorElement\_46320">5</mn><mn\; id="EditorElement\_46321">.</mn><mn\; id="EditorElement\_46322">7</mn><mn\; id="EditorElement\_46323">2</mn>$

$9\mathrm{.}03$ mu$1-$ mu$2<mn\; id="EditorElement\_46261">1</mn><mn\; id="EditorElement\_46262">7</mn><mn\; id="EditorElement\_46263">.</mn><mn\; id="EditorElement\_46264">5</mn><mn\; id="EditorElement\_46265">8</mn>$

$9\mathrm{.}08$ mu$1-$ mu $2<mn\; id="EditorElement\_46211">1</mn><mn\; id="EditorElement\_46212">7</mn><mn\; id="EditorElement\_46213">.</mn><mn\; id="EditorElement\_46214">5</mn><mn\; id="EditorElement\_46215">3</mn>$

$9\mathrm{.}70$ mu $1-$ mu $2<mn\; id="EditorElement\_46149">1</mn><mn\; id="EditorElement\_46150">6</mn><mn\; id="EditorElement\_46151">.</mn><mn\; id="EditorElement\_46152">9</mn><mn\; id="EditorElement\_46153">1</mn>$

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