{"id":259,"date":"2023-01-18T18:21:28","date_gmt":"2023-01-18T23:21:28","guid":{"rendered":"https:\/\/opentextbc.ca\/busstatsancillary\/?post_type=chapter&p=259"},"modified":"2023-01-18T18:43:35","modified_gmt":"2023-01-18T23:43:35","slug":"using-the-normal-distribution","status":"publish","type":"chapter","link":"https:\/\/opentextbc.ca\/busstatsancillary\/chapter\/using-the-normal-distribution\/","title":{"raw":"6.2 Using the Normal Distribution","rendered":"6.2 Using the Normal Distribution"},"content":{"raw":"The following activities and questions relate to material covered in Chapter 6.2 Using the Normal Distribution<\/a>\u00a0in\u00a0Introductory Business Statistics (OpenStax)<\/em><\/a>.\r\n

Questions<\/h1>\r\n
    \r\n \t
  1. The average salary for a baker in Whitehorse, YT, in the year 2020, was $35,360, approximately $22\/hour. Assume that the population of baker salaries in Whitehorse is normally distributed with a population mean of $35,360 and a population standard deviation of $1,500. [footnote]Data source: Canadian Visa | Canadian Immigration Consultants. (n.d.). Top jobs in Yukon Canada<\/em>. https:\/\/canadianvisa.org\/blog\/jobs\/top-jobs-in-yukon-canada.[\/footnote] What is the probability of a randomly selected Whitehorse baker making more than $38,000 a year?<\/li>\r\n<\/ol>\r\n

    Solutions<\/h1>\r\n
      \r\n \t
    1. [latex]P(X>$38000)=P\\left(\\dfrac{X-\\mu}{\\sigma}>\\dfrac{38000-35360}{1500}\\right)=1-P(Z<1.76)=3.92%\\qquad[\/latex]<\/li>\r\n \t
    2. The probability of a randomly selected Whitehorse baker making more than $38,000 a year is 3.92%.<\/li>\r\n<\/ol>","rendered":"

      The following activities and questions relate to material covered in Chapter 6.2 Using the Normal Distribution<\/a>\u00a0in\u00a0Introductory Business Statistics (OpenStax)<\/em><\/a>.<\/p>\n

      Questions<\/h1>\n
        \n
      1. The average salary for a baker in Whitehorse, YT, in the year 2020, was $35,360, approximately $22\/hour. Assume that the population of baker salaries in Whitehorse is normally distributed with a population mean of $35,360 and a population standard deviation of $1,500. [1]<\/sup><\/a> What is the probability of a randomly selected Whitehorse baker making more than $38,000 a year?<\/li>\n<\/ol>\n

        Solutions<\/h1>\n
          \n
        1. [latex]P(X>$38000)=P\\left(\\dfrac{X-\\mu}{\\sigma}>\\dfrac{38000-35360}{1500}\\right)=1-P(Z<1.76)=3.92%\\qquad[\/latex]<\/li>\n
        2. The probability of a randomly selected Whitehorse baker making more than $38,000 a year is 3.92%.<\/li>\n<\/ol>\n
          1. Data source: Canadian Visa | Canadian Immigration Consultants. (n.d.). Top jobs in Yukon Canada<\/em>. https:\/\/canadianvisa.org\/blog\/jobs\/top-jobs-in-yukon-canada. ↵<\/a><\/li><\/ol><\/div>","protected":false},"author":123,"menu_order":2,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-259","chapter","type-chapter","status-publish","hentry"],"part":81,"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/259","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/users\/123"}],"version-history":[{"count":4,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/259\/revisions"}],"predecessor-version":[{"id":263,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/259\/revisions\/263"}],"part":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/parts\/81"}],"metadata":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapters\/259\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/media?parent=259"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/pressbooks\/v2\/chapter-type?post=259"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/contributor?post=259"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/busstatsancillary\/wp-json\/wp\/v2\/license?post=259"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}