Question $1$

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 $=21,$ sample mean $=24\mathrm{.}75,$ sample standard deviation $=4\mathrm{.}23.$ Population $2$: sample size $=8,$ sample mean $=8\mathrm{.}47,$ sample standard deviation $=1\mathrm{.}91.$

Your answer:

$14\mathrm{.}00$ mu$1-$mu$2<mtext\; id="EditorElement\_95985"></mtext><mn\; id="EditorElement\_95986">1</mn><mn\; id="EditorElement\_95987">8</mn><mn\; id="EditorElement\_95988">.</mn><mn\; id="EditorElement\_95989">5</mn><mn\; id="EditorElement\_95990">7</mn>$

$16\mathrm{.}13$ mu$1-$mu$216\mathrm{.}44$

$14\mathrm{.}18$ mu$1-$mu$2<mtext\; id="EditorElement\_95913"></mtext><mn\; id="EditorElement\_95914">1</mn><mn\; id="EditorElement\_95915">8</mn><mn\; id="EditorElement\_95916">.</mn><mn\; id="EditorElement\_95917">3</mn><mn\; id="EditorElement\_95918">9</mn>$

$16\mathrm{.}07$ mu$1-$mu$216\mathrm{.}50$

$15\mathrm{.}85$ mu$1-$mu$2<mn\; id="EditorElement\_95824">1</mn><mn\; id="EditorElement\_95825">6</mn><mn\; id="EditorElement\_95826">.</mn><mn\; id="EditorElement\_95827">7</mn><mn\; id="EditorElement\_95828">1</mn>$

$16\mathrm{.}13$ mu$1-$mu$2<mtext\; id="EditorElement\_95791"></mtext><mn\; id="EditorElement\_95792">1</mn><mn\; id="EditorElement\_95793">6</mn><mn\; id="EditorElement\_95794">.</mn><mn\; id="EditorElement\_95795">4</mn><mn\; id="EditorElement\_95796">4</mn>$

$13\mathrm{.}32$ mu$1-$mu$219\mathrm{.}25$

$13\mathrm{.}93$ mu$1-$mu$2<mtext\; id="EditorElement\_95719"></mtext><mn\; id="EditorElement\_95720">1</mn><mn\; id="EditorElement\_95721">8</mn><mn\; id="EditorElement\_95722">.</mn><mn\; id="EditorElement\_95723">6</mn><mn\; id="EditorElement\_95724">4</mn>$

$13\mathrm{.}26$ mu$1-$mu$2<mtext\; id="EditorElement\_95682"></mtext><mn\; id="EditorElement\_95683">1</mn><mn\; id="EditorElement\_95684">9</mn><mn\; id="EditorElement\_95685">.</mn><mn\; id="EditorElement\_95686">3</mn><mn\; id="EditorElement\_95687">0</mn>$