{"id":118,"date":"2023-05-05T12:48:45","date_gmt":"2023-05-05T16:48:45","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/businessanalytics\/chapter\/samplepopulationpopulation-vs-samples\/"},"modified":"2023-05-05T13:02:23","modified_gmt":"2023-05-05T17:02:23","slug":"samplepopulationpopulation-vs-samples","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/businessanalytics\/chapter\/samplepopulationpopulation-vs-samples\/","title":{"raw":"Population vs Samples","rendered":"Population vs Samples"},"content":{"raw":"<div class=\"samplepopulationpopulation-vs-samples\">\r\n<p class=\"import-Normal\"><img class=\" wp-image-135 aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/businessanalytics\/wp-content\/uploads\/sites\/1653\/2023\/05\/pop_vs_sample-300x93.png\" alt=\"Sample as a subset of population\" width=\"390\" height=\"121\" \/><\/p>\r\n\r\n<table>\r\n<tbody>\r\n<tr class=\"TableGrid-R\">\r\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: none solid solid none;border-width: 0pt 0.5pt 0.5pt 0pt;width: 371.633px\">\r\n<p class=\"import-Normal\">Population<\/p>\r\n<\/td>\r\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: none none solid solid;border-width: 0pt 0pt 0.5pt 0.5pt;width: 611.167px\">\r\n<p class=\"import-Normal\">Sample<\/p>\r\n<\/td>\r\n<\/tr>\r\n<tr class=\"TableGrid-R\">\r\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: solid solid none none;border-width: 0.5pt 0.5pt 0pt 0pt;width: 371.633px\">\r\n<ul>\r\n \t<li class=\"import-Normal\">The complete Collection of all people, score, ect.<\/li>\r\n \t<li class=\"import-Normal\">All Canadians<\/li>\r\n \t<li class=\"import-Normal\">Uses Greek letters (often)<\/li>\r\n \t<li class=\"import-Normal\">\u03bc (mu), \u03c3 (sigma)<\/li>\r\n \t<li class=\"import-Normal\">Conduct a census<\/li>\r\n \t<li class=\"import-Normal\">Expensive<\/li>\r\n<\/ul>\r\n<p class=\"import-Normal\"><\/p>\r\n<\/td>\r\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: solid none none solid;border-width: 0.5pt 0pt 0pt 0.5pt;width: 611.167px\">\r\n<ul>\r\n \t<li class=\"import-Normal\">A sub-collection of elements of the population<\/li>\r\n \t<li class=\"import-Normal\">200 people at the mall<\/li>\r\n \t<li class=\"import-Normal\">Always uses English letters<\/li>\r\n \t<li class=\"import-Normal\">x\u0305, s<\/li>\r\n \t<li class=\"import-Normal\">Conduct a survey<\/li>\r\n \t<li class=\"import-Normal\">Relatively affordable<\/li>\r\n<\/ul>\r\n<\/td>\r\n<\/tr>\r\n<tr class=\"TableGrid-R\">\r\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: none solid none none;border-width: 0pt 0.5pt 0pt 0pt;width: 371.633px\">\r\n<h2 class=\"import-Normal\">Parameter<\/h2>\r\n<ul>\r\n \t<li class=\"import-Normal\">Describes an element of a population<\/li>\r\n \t<li class=\"import-Normal\">The average Canadian is \u03bc = 170 cm<\/li>\r\n \t<li class=\"import-Normal\">The true proportion of left-handed people is \u03c0 = 10%<\/li>\r\n \t<li>We tend to use Greek letters.<\/li>\r\n<\/ul>\r\n<\/td>\r\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: none none none solid;border-width: 0pt 0pt 0pt 0.5pt;width: 611.167px\">\r\n<h2 class=\"import-Normal\">Statistic<\/h2>\r\n<ul>\r\n \t<li class=\"import-Normal\">Describes an element of a population<\/li>\r\n \t<li class=\"import-Normal\">The average height in class is <em>x\u0305<\/em> =168 cm<\/li>\r\n \t<li class=\"import-Normal\">The proportion of left-handed people in my survey database is <em>[latex]\\hat{p}[\/latex]<\/em> = 4.5%<\/li>\r\n \t<li>We tend to use English letters, often with a bar or hat.<\/li>\r\n<\/ul>\r\n<\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"width: 370.833px\"><\/td>\r\n<td style=\"width: 610.367px\"><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p class=\"import-Normal\"><\/p>\r\n\r\n<\/div>","rendered":"<div class=\"samplepopulationpopulation-vs-samples\">\n<p class=\"import-Normal\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-135 aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/businessanalytics\/wp-content\/uploads\/sites\/1653\/2023\/05\/pop_vs_sample-300x93.png\" alt=\"Sample as a subset of population\" width=\"390\" height=\"121\" srcset=\"https:\/\/pressbooks.bccampus.ca\/businessanalytics\/wp-content\/uploads\/sites\/1653\/2023\/05\/pop_vs_sample-300x93.png 300w, https:\/\/pressbooks.bccampus.ca\/businessanalytics\/wp-content\/uploads\/sites\/1653\/2023\/05\/pop_vs_sample-768x238.png 768w, https:\/\/pressbooks.bccampus.ca\/businessanalytics\/wp-content\/uploads\/sites\/1653\/2023\/05\/pop_vs_sample-65x20.png 65w, https:\/\/pressbooks.bccampus.ca\/businessanalytics\/wp-content\/uploads\/sites\/1653\/2023\/05\/pop_vs_sample-225x70.png 225w, https:\/\/pressbooks.bccampus.ca\/businessanalytics\/wp-content\/uploads\/sites\/1653\/2023\/05\/pop_vs_sample-350x109.png 350w, https:\/\/pressbooks.bccampus.ca\/businessanalytics\/wp-content\/uploads\/sites\/1653\/2023\/05\/pop_vs_sample.png 777w\" sizes=\"auto, (max-width: 390px) 100vw, 390px\" \/><\/p>\n<table>\n<tbody>\n<tr class=\"TableGrid-R\">\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: none solid solid none;border-width: 0pt 0.5pt 0.5pt 0pt;width: 371.633px\">\n<p class=\"import-Normal\">Population<\/p>\n<\/td>\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: none none solid solid;border-width: 0pt 0pt 0.5pt 0.5pt;width: 611.167px\">\n<p class=\"import-Normal\">Sample<\/p>\n<\/td>\n<\/tr>\n<tr class=\"TableGrid-R\">\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: solid solid none none;border-width: 0.5pt 0.5pt 0pt 0pt;width: 371.633px\">\n<ul>\n<li class=\"import-Normal\">The complete Collection of all people, score, ect.<\/li>\n<li class=\"import-Normal\">All Canadians<\/li>\n<li class=\"import-Normal\">Uses Greek letters (often)<\/li>\n<li class=\"import-Normal\">\u03bc (mu), \u03c3 (sigma)<\/li>\n<li class=\"import-Normal\">Conduct a census<\/li>\n<li class=\"import-Normal\">Expensive<\/li>\n<\/ul>\n<p class=\"import-Normal\">\n<\/td>\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: solid none none solid;border-width: 0.5pt 0pt 0pt 0.5pt;width: 611.167px\">\n<ul>\n<li class=\"import-Normal\">A sub-collection of elements of the population<\/li>\n<li class=\"import-Normal\">200 people at the mall<\/li>\n<li class=\"import-Normal\">Always uses English letters<\/li>\n<li class=\"import-Normal\">x\u0305, s<\/li>\n<li class=\"import-Normal\">Conduct a survey<\/li>\n<li class=\"import-Normal\">Relatively affordable<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<tr class=\"TableGrid-R\">\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: none solid none none;border-width: 0pt 0.5pt 0pt 0pt;width: 371.633px\">\n<h2 class=\"import-Normal\">Parameter<\/h2>\n<ul>\n<li class=\"import-Normal\">Describes an element of a population<\/li>\n<li class=\"import-Normal\">The average Canadian is \u03bc = 170 cm<\/li>\n<li class=\"import-Normal\">The true proportion of left-handed people is \u03c0 = 10%<\/li>\n<li>We tend to use Greek letters.<\/li>\n<\/ul>\n<\/td>\n<td class=\"TableGrid-C\" style=\"border-color: windowtext;border-style: none none none solid;border-width: 0pt 0pt 0pt 0.5pt;width: 611.167px\">\n<h2 class=\"import-Normal\">Statistic<\/h2>\n<ul>\n<li class=\"import-Normal\">Describes an element of a population<\/li>\n<li class=\"import-Normal\">The average height in class is <em>x\u0305<\/em> =168 cm<\/li>\n<li class=\"import-Normal\">The proportion of left-handed people in my survey database is <em>[latex]\\hat{p}[\/latex]<\/em> = 4.5%<\/li>\n<li>We tend to use English letters, often with a bar or hat.<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 370.833px\"><\/td>\n<td style=\"width: 610.367px\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p 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