{"id":777,"date":"2020-08-05T17:33:52","date_gmt":"2020-08-05T21:33:52","guid":{"rendered":"https:\/\/openbooks.macewan.ca\/rcommander\/?post_type=part&#038;p=777"},"modified":"2023-12-27T23:30:13","modified_gmt":"2023-12-28T04:30:13","slug":"chapter-7-confidence-interval-for-one-population-mean","status":"publish","type":"part","link":"https:\/\/openbooks.macewan.ca\/introstats\/part\/chapter-7-confidence-interval-for-one-population-mean\/","title":{"raw":"Chapter 7: Confidence Interval for One Population Mean","rendered":"Chapter 7: Confidence Interval for One Population Mean"},"content":{"raw":"We will focus on inferential statistics hereafter. Inferential statistics includes estimation and hypothesis testing: estimation is to estimate the value of a population parameter; hypothesis testing is to test the plausibility of a statement about the value of a population parameter. Estimation consists of point estimates and confidence interval estimates. This chapter introduces how to obtain a point estimate and a confidence interval for the population mean [latex]\\mu[\/latex].\r\n\r\n&nbsp;\r\n<div class=\"textbox textbox--learning-objectives\"><header class=\"textbox__header\">Learning Objectives<\/header>\r\n<div class=\"textbox__content\">\r\n\r\nAs a result of completing this chapter, you will be able to do the following:\r\n<ul>\r\n \t<li>Explain the difference between an estimator, a point estimate, and a parameter.<\/li>\r\n \t<li>Explain the practical importance of confidence intervals.<\/li>\r\n \t<li>Distinguish between the standard normal distribution and the t distribution.<\/li>\r\n \t<li>Construct a [latex](1-\\alpha) \\times 100\\% [\/latex] z and t confidence interval.<\/li>\r\n \t<li>Interpret a confidence interval.<\/li>\r\n \t<li>Explain the relationship between confidence level, precision, length of the interval, and margin of error.<\/li>\r\n \t<li>Calculate the required sample size given the margin of error and confidence level.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<\/div>","rendered":"<p>We will focus on inferential statistics hereafter. Inferential statistics includes estimation and hypothesis testing: estimation is to estimate the value of a population parameter; hypothesis testing is to test the plausibility of a statement about the value of a population parameter. Estimation consists of point estimates and confidence interval estimates. This chapter introduces how to obtain a point estimate and a confidence interval for the population mean [latex]\\mu[\/latex].<\/p>\n<p>&nbsp;<\/p>\n<div class=\"textbox textbox--learning-objectives\">\n<header class=\"textbox__header\">Learning Objectives<\/header>\n<div class=\"textbox__content\">\n<p>As a result of completing this chapter, you will be able to do the following:<\/p>\n<ul>\n<li>Explain the difference between an estimator, a point estimate, and a parameter.<\/li>\n<li>Explain the practical importance of confidence intervals.<\/li>\n<li>Distinguish between the standard normal distribution and the t distribution.<\/li>\n<li>Construct a [latex](1-\\alpha) \\times 100\\%[\/latex] z and t confidence interval.<\/li>\n<li>Interpret a confidence interval.<\/li>\n<li>Explain the relationship between confidence level, precision, length of the interval, and margin of error.<\/li>\n<li>Calculate the required sample size given the margin of error and confidence level.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n","protected":false},"parent":0,"menu_order":7,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-777","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/parts\/777","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":6,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/parts\/777\/revisions"}],"predecessor-version":[{"id":4788,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/pressbooks\/v2\/parts\/777\/revisions\/4788"}],"wp:attachment":[{"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/media?parent=777"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/contributor?post=777"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/openbooks.macewan.ca\/introstats\/wp-json\/wp\/v2\/license?post=777"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}