{"id":1555,"date":"2022-01-18T22:21:44","date_gmt":"2022-01-18T22:21:44","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&#038;p=1555"},"modified":"2022-02-08T05:25:46","modified_gmt":"2022-02-08T05:25:46","slug":"8c","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/8c\/","title":{"raw":"8C","rendered":"8C"},"content":{"raw":"<div align=\"center\">\r\n\r\n<img class=\"alignnone wp-image-1556\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18222053\/Picture271-300x295.png\" alt=\"A circle divided into four equal portions. The first section is labeled &quot;1&quot; in red, the second labeled &quot;2&quot; in blue, the third labeled &quot;3&quot; in orange, and the fourth labeled &quot;4&quot; in green. There is also an arrow point out from the center into the &quot;1&quot; section.\" width=\"863\" height=\"851\" \/><img class=\"alignnone wp-image-1557\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18222100\/Picture28-300x162.jpg\" alt=\"A person wearing a hard hat holding a computer in front of heavy machinery inside a large building.\" width=\"1067\" height=\"576\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Experimental Outcome<\/strong><\/td>\r\n<td><strong>, Number of Tails in 3 Flips of a Coin<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>HHH<\/td>\r\n<td>0<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>HHT<\/td>\r\n<td>1<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>HTH<\/td>\r\n<td>1<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>THH<\/td>\r\n<td>1<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>TTH<\/td>\r\n<td>2<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>THT<\/td>\r\n<td>2<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>HTT<\/td>\r\n<td>2<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>TTT<\/td>\r\n<td>3<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Number of Tails, <\/strong><\/td>\r\n<td><strong>Ways to Obtain <\/strong><strong>\u00a0Tails<\/strong><\/td>\r\n<td><strong>Number of Ways to Obtain <\/strong><strong>\u00a0Tails in 3 Flips<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>0<\/td>\r\n<td>HHH<\/td>\r\n<td>1<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>1<\/td>\r\n<td>THH, HTH, HHT<\/td>\r\n<td>3<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>2<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>3<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>0<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>1<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>3<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td>Skill or Concept: I can . . .<\/td>\r\n<td>Questions to check your understanding<\/td>\r\n<td>Rating\r\nfrom 1 to 5<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Identify whether a chance experiment is a binomial experiment.<\/td>\r\n<td>1<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Determine the probability distribution for binomial experiments where \u00a0is small.<\/td>\r\n<td>2, 3<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Understand the basic principles behind the formula for the binomial probability model.<\/td>\r\n<td>2\u20134<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/div>\r\n<\/div>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n<div align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Country<\/strong><\/td>\r\n<td><strong>Cost of Big Mac<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Argentina<\/td>\r\n<td>$3.75<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Australia<\/td>\r\n<td>$4.98<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>South Korea<\/td>\r\n<td>$4.10<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Egypt<\/td>\r\n<td>$2.72<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Mexico<\/td>\r\n<td>$2.68<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>United States<\/td>\r\n<td>$5.66<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Country<\/strong><\/td>\r\n<td><strong>Cost of Big Mac<\/strong><\/td>\r\n<td><strong>Right or Left of the Mean<\/strong><\/td>\r\n<td><strong>Cost Higher or Lower Than Average<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Argentina<\/td>\r\n<td>$3.75<\/td>\r\n<td>right<\/td>\r\n<td>higher<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Australia<\/td>\r\n<td>$4.98<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>South Korea<\/td>\r\n<td>$4.10<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Egypt<\/td>\r\n<td>$2.72<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Mexico<\/td>\r\n<td>$2.68<\/td>\r\n<td><\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<div style=\"text-align: left;\" align=\"center\">\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Skill or Concept: I can . . .<\/strong><\/td>\r\n<td><strong>Questions to check your understanding<\/strong><\/td>\r\n<td><strong>Rating\r\nfrom 1 to 5<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Understand the properties of continuous distributions.<\/td>\r\n<td>1, 2<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Identify continuous distributions from graphical displays.<\/td>\r\n<td>3<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Identify normal distributions from graphical displays.<\/td>\r\n<td>5<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Create the graph of a normal distribution with a given mean and standard deviation.<\/td>\r\n<td>6, 7, 10<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Identify the mean and standard deviation by looking at a labeled normal curve.<\/td>\r\n<td>4, 8<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Estimate probabilities using a normal distribution.<\/td>\r\n<td>2, 9<\/td>\r\n<td><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<dl>Glossary<\/dl>\r\n<dl id=\"fs-id1170572229168\" class=\"definition\">\r\n \t<dt>acceptance sampling<\/dt>\r\n \t<dd id=\"fs-id1170572229174\">sampling where a random sample is drawn from each lot of a product, the items in the sample are tested, and if the number of nonconforming items is above a pre-determined threshold, then the whole lot of the product is rejected.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572229190\" class=\"definition\">\r\n \t<dt>sensitivity<\/dt>\r\n \t<dd id=\"fs-id1170572229195\">the probability that a person with the condition is correctly identified as having it.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482608\" class=\"definition\">\r\n \t<dt>specificity<\/dt>\r\n \t<dd id=\"fs-id1170572482614\">the probability that a person without the condition is correctly identified as not having it.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482619\" class=\"definition\">\r\n \t<dt>Bernoulli trial<\/dt>\r\n \t<dd id=\"fs-id1170572482624\">a chance experiment with exactly two possible outcomes, the same probability of success for every trial, and trials that are independent from one another.<\/dd>\r\n<\/dl>\r\n<dl id=\"fs-id1170572482683\" class=\"definition\">\r\n \t<dt>binomial experiment<\/dt>\r\n \t<dd id=\"fs-id1170572482689\">an experiment consisting of a fixed number, \ud835\udc5b, of independent Bernoulli trials that counts the number of successes out of \ud835\udc5b trials.<\/dd>\r\n<\/dl>\r\n<\/div>\r\n<\/div>","rendered":"<div style=\"margin: auto;\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1556\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18222053\/Picture271-300x295.png\" alt=\"A circle divided into four equal portions. The first section is labeled &quot;1&quot; in red, the second labeled &quot;2&quot; in blue, the third labeled &quot;3&quot; in orange, and the fourth labeled &quot;4&quot; in green. There is also an arrow point out from the center into the &quot;1&quot; section.\" width=\"863\" height=\"851\" \/><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1557\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5738\/2022\/01\/18222100\/Picture28-300x162.jpg\" alt=\"A person wearing a hard hat holding a computer in front of heavy machinery inside a large building.\" width=\"1067\" height=\"576\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>Experimental Outcome<\/strong><\/td>\n<td><strong>, Number of Tails in 3 Flips of a Coin<\/strong><\/td>\n<\/tr>\n<tr>\n<td>HHH<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td>HHT<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>HTH<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>THH<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>TTH<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>THT<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>HTT<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>TTT<\/td>\n<td>3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><strong>Number of Tails, <\/strong><\/td>\n<td><strong>Ways to Obtain <\/strong><strong>\u00a0Tails<\/strong><\/td>\n<td><strong>Number of Ways to Obtain <\/strong><strong>\u00a0Tails in 3 Flips<\/strong><\/td>\n<\/tr>\n<tr>\n<td>0<\/td>\n<td>HHH<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>THH, HTH, HHT<\/td>\n<td>3<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>0<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td>Skill or Concept: I can . . .<\/td>\n<td>Questions to check your understanding<\/td>\n<td>Rating<br \/>\nfrom 1 to 5<\/td>\n<\/tr>\n<tr>\n<td>Identify whether a chance experiment is a binomial experiment.<\/td>\n<td>1<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Determine the probability distribution for binomial experiments where \u00a0is small.<\/td>\n<td>2, 3<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Understand the basic principles behind the formula for the binomial probability model.<\/td>\n<td>2\u20134<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<div style=\"margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Country<\/strong><\/td>\n<td><strong>Cost of Big Mac<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Argentina<\/td>\n<td>$3.75<\/td>\n<\/tr>\n<tr>\n<td>Australia<\/td>\n<td>$4.98<\/td>\n<\/tr>\n<tr>\n<td>South Korea<\/td>\n<td>$4.10<\/td>\n<\/tr>\n<tr>\n<td>Egypt<\/td>\n<td>$2.72<\/td>\n<\/tr>\n<tr>\n<td>Mexico<\/td>\n<td>$2.68<\/td>\n<\/tr>\n<tr>\n<td>United States<\/td>\n<td>$5.66<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<tbody>\n<tr>\n<td><strong>Country<\/strong><\/td>\n<td><strong>Cost of Big Mac<\/strong><\/td>\n<td><strong>Right or Left of the Mean<\/strong><\/td>\n<td><strong>Cost Higher or Lower Than Average<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Argentina<\/td>\n<td>$3.75<\/td>\n<td>right<\/td>\n<td>higher<\/td>\n<\/tr>\n<tr>\n<td>Australia<\/td>\n<td>$4.98<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>South Korea<\/td>\n<td>$4.10<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Egypt<\/td>\n<td>$2.72<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Mexico<\/td>\n<td>$2.68<\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div style=\"text-align: left; margin: auto;\">\n<table>\n<tbody>\n<tr>\n<td><strong>Skill or Concept: I can . . .<\/strong><\/td>\n<td><strong>Questions to check your understanding<\/strong><\/td>\n<td><strong>Rating<br \/>\nfrom 1 to 5<\/strong><\/td>\n<\/tr>\n<tr>\n<td>Understand the properties of continuous distributions.<\/td>\n<td>1, 2<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Identify continuous distributions from graphical displays.<\/td>\n<td>3<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Identify normal distributions from graphical displays.<\/td>\n<td>5<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Create the graph of a normal distribution with a given mean and standard deviation.<\/td>\n<td>6, 7, 10<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Identify the mean and standard deviation by looking at a labeled normal curve.<\/td>\n<td>4, 8<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Estimate probabilities using a normal distribution.<\/td>\n<td>2, 9<\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<dl><\/dl>\n<dl id=\"fs-id1170572229168\" class=\"definition\">\n<dt>acceptance sampling<\/dt>\n<dd id=\"fs-id1170572229174\">sampling where a random sample is drawn from each lot of a product, the items in the sample are tested, and if the number of nonconforming items is above a pre-determined threshold, then the whole lot of the product is rejected.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572229190\" class=\"definition\">\n<dt>sensitivity<\/dt>\n<dd id=\"fs-id1170572229195\">the probability that a person with the condition is correctly identified as having it.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482608\" class=\"definition\">\n<dt>specificity<\/dt>\n<dd id=\"fs-id1170572482614\">the probability that a person without the condition is correctly identified as not having it.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482619\" class=\"definition\">\n<dt>Bernoulli trial<\/dt>\n<dd id=\"fs-id1170572482624\">a chance experiment with exactly two possible outcomes, the same probability of success for every trial, and trials that are independent from one another.<\/dd>\n<\/dl>\n<dl id=\"fs-id1170572482683\" class=\"definition\">\n<dt>binomial experiment<\/dt>\n<dd id=\"fs-id1170572482689\">an experiment consisting of a fixed number, \ud835\udc5b, of independent Bernoulli trials that counts the number of successes out of \ud835\udc5b trials.<\/dd>\n<\/dl>\n<\/div>\n<\/div>\n","protected":false},"author":23592,"menu_order":30,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1555","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1555","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/23592"}],"version-history":[{"count":6,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1555\/revisions"}],"predecessor-version":[{"id":2915,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1555\/revisions\/2915"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/704"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/1555\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=1555"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=1555"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=1555"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=1555"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}