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1. Describe each of the following symbols. What does the symbol...
1. Describe each of the following symbols.
What does the symbol represent? Is the symbol describing a sample statistic or a population parameter? N , n , π , p̂ , µ , x̅, σ , s , 𝜎𝜎2, 𝑠𝑠2, ρ , r , 𝛽𝛽1 , 𝑏𝑏1
(#2-13)
Determine if the numbers in the following clips from magazines and newspapers are describing a population parameter or a sample statistic. In each case, give the symbol used for the parameter or statistic. (N , n , π , p̂ , µ , x̅, σ , s , 𝜎𝜎2, 𝑠𝑠2, ρ , r , 𝛽𝛽1 , 𝑏𝑏1)
2. "Our study found that of the 200 people tested in the sample, only 3% showed side effects to the medication."
3. "It has been speculated for years that the mean average height of all men is 69.2 inches, but our sample data disagrees with this. Our sample mean average was 69.5 inches."
4. "The standard deviation for all humans is about 1.8 degrees Fahrenheit. A random sample of 52 people found a standard deviation of 1.739 degrees Fahrenheit".
5. "We tested a sample of 300 incoming college freshman and found that their mean average IQ was 101.9 with a standard deviation of 14.8".
6. "The mean average human body temperature has long been thought to be 98.6 degrees Fahrenheit, but our sample of 63 randomly selected adults had a mean average was 98.08".
7. "The mean average number of units that students take per semester is about 12, but when we took a random sample of 160 college students found that the mean average was 12.37 units."
8. "A public opinion poll showed that 47.2% of voters would vote for the candidate, but when the votes or entire population were counted we found that only 41.3% voted for the candidate."
13. "According to the 2015 U.S. census, approximately 78% of U.S. households own a computer. A random sample of 165 households found that 81.2% of them owned a computer."
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sectetur adipisc<span class="mord"><span class="mord"><span class="mord boldsymbol" style="margin-right:.03704em;">se</span></span></span>sectetur adipiscing elit.<p></p><p><strong>s</strong>sectetur adipiscing</p><p><span class="eqneditor-formula" data-value="\boldsymbol{\mu}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.63888em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">se</span></span></span></span></span></span></span>sectetur adipiscing</p><p><span class="eqneditor-formula" data-value="\boldsymbol{\bar x}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.60955em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.60955em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">se</span></span></span></span></span></span></span></span></span></span></span></span></span>sectetur adipis</p><p><span class="eqneditor-formula" data-value="\boldsymbol{\sigma}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.44444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol" style="margin-right:.03704em;">se</span></span></span></span></span></span></span>sectetur adipiscing elit. Nam lac</p><p><span class="eqneditor-formula" data-value="\boldsymbol{s}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.44444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span></span></span></span></span></span></span>sectetur adipiscing elit. Nam</p><p><span class="eqneditor-formula" data-value="\boldsymbol{\sigma^2}"><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"><span class="mord"><span class="mord boldsymbol" style="margin-right:.03704em;">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 mathbf mtight">s</span></span></span></span></span></span></span></span></span></span></span></span></span></span>sectetur adipiscing eli</p><p><span class="eqneditor-formula" data-value="\boldsymbol{s^2}"><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"><span class="mord"><span class="mord boldsymbol">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 mathbf mtight">s</span></span></span></span></span></span></span></span></span></span></span></span></span></span>sectetur adipiscing</p><p><span class="eqneditor-formula" data-value="\boldsymbol{\rho}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.63888em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">se</span></span></span></span></span></span></span>sectetur adipiscing elit. Nam lacinia pulvinar</p><p><strong>se</strong>sectetur adipiscing elit. Nam lacinia pulvinar tortor nec</p><p><span class="eqneditor-formula" data-value="\boldsymbol{\beta_1}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.8888799999999999em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord"><span class="mord boldsymbol" style="margin-right:.03403em;">se</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:-.03403em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathbf mtight">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.15em;"><span></span></span></span></span></span></span></span></span></span></span></span></span>sectetur adipiscing elit. Nam lacinia pulvinar tortor nec fa</p><p><span class="eqneditor-formula" data-value="\boldsymbol{b_1}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.84444em;vertical-align:-.15em;"></span><span class="mord"><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathbf mtight">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.15em;"><span></span></span></span></span></span></span></span></span></span></span></span></span>sectetur adipiscing elit. Nam lacinia pulvinar tortor ne</p><p> </p><p>sect</p><p>sectetur adipiscin<strong>s</strong>sectet<span class="eqneditor-formula" data-value="\boldsymbol{\hat p}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.90232em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.70788em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.19444em;"><span></span></span></span></span></span></span></span></span></span></span></span></p><p><strong>sectetur</strong></p><p><span class="eqneditor-formula" data-value="\boldsymbol{\hat p=0.03}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.90232em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.70788em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.19444em;"><span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p> </p><p>sect</p><p>sectetur adipiscing eli<span class="eqneditor-formula" data-value="\boldsymbol{\mu}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.63888em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">se</span></span></span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="\boldsymbol{\mu=69.2}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.8388800000000001em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">se</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p>sectetur adipiscing<span class="eqneditor-formula" data-value="\boldsymbol{\bar x}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.60955em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.60955em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">se</span></span></span></span></span></span></span></span></span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="\boldsymbol{\bar x=69.5}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.60955em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">se</span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span></p><p> </p><p>sect</p><p>sectetur adipiscing eli<span class="eqneditor-formula" data-value="\boldsymbol{\sigma}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.44444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol" style="margin-right:.03704em;">se</span></span></span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="\boldsymbol{\sigma=1.8}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol" style="margin-right:.03704em;">se</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span></p><p>sectetur adipiscing<span class="eqneditor-formula" data-value="\boldsymbol{n}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.44444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span></span></span></span></span></span></span>sectet<span class="eqneditor-formula" data-value="\boldsymbol{s}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.44444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span></span></span></span></span></span></span></p><p><strong>sectetur</strong></p><p><span class="eqneditor-formula" data-value="\boldsymbol{s=1.739}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p> </p><p>sect</p><p>sectetur adipiscin<span class="eqneditor-formula" data-value="\boldsymbol{n, \bar x, s}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.80399em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span><span class="mpunct mathbf">s</span><span class="mspace" style="margin-right:.16666666666666666em;"></span><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.60955em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">se</span></span></span></span></span></span></span><span class="mpunct mathbf">s</span><span class="mspace" style="margin-right:.16666666666666666em;"></span><span class="mord boldsymbol">s</span></span></span></span></span></span></span>s</p><p><strong>sectetur</strong></p><p><span class="eqneditor-formula" data-value="\boldsymbol{\bar x = 101.9}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.60955em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">se</span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p><span class="eqneditor-formula" data-value="\boldsymbol{s=14.8}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p> </p><p>sect</p><p>sectetur adipiscing eli<span class="eqneditor-formula" data-value="\boldsymbol{\mu}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.63888em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">se</span></span></span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="\boldsymbol{\mu=98.6}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.8388800000000001em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">se</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p>sectetur adipiscing<span class="eqneditor-formula" data-value="\boldsymbol{n, \bar x}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.80399em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span><span class="mpunct mathbf">s</span><span class="mspace" style="margin-right:.16666666666666666em;"></span><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.60955em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">se</span></span></span></span></span></span></span></span></span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="\boldsymbol{n=63}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p><span class="eqneditor-formula" data-value="\boldsymbol{\bar x = 98.08}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.60955em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">se</span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p> </p><p>sect</p><p>sectetur adipiscing eli<span class="eqneditor-formula" data-value="\boldsymbol{\mu}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.63888em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">se</span></span></span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="\boldsymbol{\mu=12}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.8388800000000001em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">se</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span></p><p>sectetur adipiscing<span class="eqneditor-formula" data-value="\boldsymbol{n, \bar x}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.80399em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span><span class="mpunct mathbf">s</span><span class="mspace" style="margin-right:.16666666666666666em;"></span><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.60955em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">se</span></span></span></span></span></span></span></span></span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="\boldsymbol{n=160}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p><span class="eqneditor-formula" data-value="\boldsymbol{\bar x = 12.37}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.60955em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">se</span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p> </p><p>sect</p><p>sectetur adipiscing eli<span class="eqneditor-formula" data-value="\boldsymbol{\pi}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.44444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol" style="margin-right:.03704em;">se</span></span></span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="\boldsymbol{\pi=0.413}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol" style="margin-right:.03704em;">se</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p>sectetur adipiscing<span class="eqneditor-formula" data-value="\boldsymbol{\hat p}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.90232em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.70788em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.19444em;"><span></span></span></span></span></span></span></span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="\boldsymbol{\hat p=0.472}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.90232em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.70788em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.19444em;"><span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p> </p><p>secte</p><p>sectetur adipiscing eli<span class="eqneditor-formula" data-value="\boldsymbol{\pi}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.44444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol" style="margin-right:.03704em;">se</span></span></span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="\boldsymbol{\pi=0.78}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol" style="margin-right:.03704em;">se</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p>sectetur adipiscing<span class="eqneditor-formula" data-value="\boldsymbol{n, \hat p}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.90232em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span><span class="mpunct mathbf">s</span><span class="mspace" style="margin-right:.16666666666666666em;"></span><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.70788em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.19444em;"><span></span></span></span></span></span></span></span></span></span></span></span></p><p><span class="eqneditor-formula" data-value="\boldsymbol{n=165}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.64444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord boldsymbol">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p><p><span class="eqneditor-formula" data-value="\boldsymbol{\hat p=0.812}"><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.90232em;vertical-align:-.19444em;"></span><span class="mord"><span class="mord"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.70788em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord boldsymbol">s</span></span><span style="top:-3.01344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body"><span class="mord mathbf">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.19444em;"><span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mrel mathbf">s</span><span class="mspace" style="margin-right:.2777777777777778em;"></span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span><span class="mord mathbf">s</span></span></span></span></span></span></span> </p>
Step-by-step explanation
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