Suppose there is a population of five people with height in inches...

Question

Suppose there is a population of five people with height in inches...

Suppose there is a population of five people with height in inches as follows: 58, 62, 63, 70, and 77.
Calculate the population variance using a calculator. Show your work to derive the final answer.
Now suppose that you take a sample of three of these people who are 62, 63, and 77 inches tall. Calculate the sample variance using a calculator. Show your work to derive the final answer.

Solved by verified expert

10,000 step-by-step explanations

<p>sectetur adipisc</p><p style="margin-left:40px;"><span class="eqneditor-formula" data-value="\sigma ^{2} = 45.20"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.8141079999999999em;vertical-align:0em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:.03588em;">se</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.8141079999999999em;"><span style="top:-3.063em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span></span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span></span></span></span></span></p><p style="margin-left:40px;"> </p><p>sectetur adipisci</p><p style="margin-left:40px;"><span class="eqneditor-formula" data-value="s^{2}=70.33"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.8141079999999999em;vertical-align:0em;"></span><span class="mord"><span class="mord mathnormal">s</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.8141079999999999em;"><span style="top:-3.063em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">s</span></span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span></span></span></span></span></p>

Step-by-step explanation

sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pell

sectetur adipiscing elit. Nam lacinia pulvina

sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam r

sectetur adipiscing elit. Nam lacinia pul

sectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapibus a m

sectetur adipiscing elit. Nam lacinia pulvinar tortor nec fac