{"id":440,"date":"2023-07-29T22:29:55","date_gmt":"2023-07-29T22:29:55","guid":{"rendered":"https:\/\/statorials.org\/th\/%e0%b8%84%e0%b8%b0%e0%b9%81%e0%b8%99%e0%b8%99-z-%e0%b8%95%e0%b8%b1%e0%b8%94%e0%b9%80%e0%b8%84%e0%b8%a3%e0%b8%b7%e0%b9%88%e0%b8%ad%e0%b8%87%e0%b8%84%e0%b8%b4%e0%b8%94%e0%b9%80%e0%b8%a5%e0%b8%82\/"},"modified":"2023-07-29T22:29:55","modified_gmt":"2023-07-29T22:29:55","slug":"%e0%b8%84%e0%b8%b0%e0%b9%81%e0%b8%99%e0%b8%99-z-%e0%b8%95%e0%b8%b1%e0%b8%94%e0%b9%80%e0%b8%84%e0%b8%a3%e0%b8%b7%e0%b9%88%e0%b8%ad%e0%b8%87%e0%b8%84%e0%b8%b4%e0%b8%94%e0%b9%80%e0%b8%a5%e0%b8%82","status":"publish","type":"post","link":"https:\/\/statorials.org\/th\/%e0%b8%84%e0%b8%b0%e0%b9%81%e0%b8%99%e0%b8%99-z-%e0%b8%95%e0%b8%b1%e0%b8%94%e0%b9%80%e0%b8%84%e0%b8%a3%e0%b8%b7%e0%b9%88%e0%b8%ad%e0%b8%87%e0%b8%84%e0%b8%b4%e0%b8%94%e0%b9%80%e0%b8%a5%e0%b8%82\/","title":{"rendered":"\u0e40\u0e04\u0e23\u0e37\u0e48\u0e2d\u0e07\u0e04\u0e33\u0e19\u0e27\u0e13\u0e40\u0e01\u0e13\u0e11\u0e4c\u0e04\u0e30\u0e41\u0e19\u0e19 z"},"content":{"rendered":"<p><script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjs\/5.1.1\/math.js\"><\/script><script src=\"https:\/\/cdn.jsdelivr.net\/npm\/jstat@latest\/dist\/jstat.min.js\"><\/script><\/p>\n<style>\n@import url('https:\/\/fonts.googleapis.com\/css?family=Droid+Serif|Raleway');<\/p>\n<p>.axis--y .domain {\n  display: none;\n}<\/p>\n<p>h1 {\ncolor: black;\ntext-align: center;\nmargin-top: 15px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>h2 {\ncolor: black;\nfont-size: 20px;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>p {\ncolor: black;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>#words_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#calcTitle {\ntext-align: center;\nfont-size: 20px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>#hr_top {\nwidth: 30%;\nmargin-bottom: 0px;\nmargin-top: 10px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#hr_bottom {\nwidth: 30%;\nmargin-top: 15px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>label, input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #button {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;\n      padding: 10px 10px;\n      cursor: pointer;\n      outline: none;\n      background-color: white;\n      color: black;\n      font-family: 'Work Sans', sans-serif;\n      border: 1px solid grey;\n      \/* Green *\/\n    }<\/p>\n<p>    #button:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>\t    .label_radio {\n\ttext-align: center;\n}\n<\/style>\n<div id=\"words_intro\">\u0e2a\u0e33\u0e2b\u0e23\u0e31\u0e1a\u0e1b\u0e23\u0e30\u0e0a\u0e32\u0e01\u0e23\u0e41\u0e1a\u0e1a\u0e01\u0e23\u0e30\u0e08\u0e32\u0e22\u0e1b\u0e01\u0e15\u0e34\u0e17\u0e35\u0e48\u0e21\u0e35\u0e04\u0e48\u0e32\u0e40\u0e09\u0e25\u0e35\u0e48\u0e22\u0e17\u0e35\u0e48\u0e01\u0e33\u0e2b\u0e19\u0e14 ( <b>\u03bc<\/b> ) \u0e41\u0e25\u0e30\u0e2a\u0e48\u0e27\u0e19\u0e40\u0e1a\u0e35\u0e48\u0e22\u0e07\u0e40\u0e1a\u0e19\u0e21\u0e32\u0e15\u0e23\u0e10\u0e32\u0e19 ( <b>\u03c3<\/b> ) \u0e40\u0e04\u0e23\u0e37\u0e48\u0e2d\u0e07\u0e04\u0e33\u0e19\u0e27\u0e13\u0e19\u0e35\u0e49\u0e08\u0e30\u0e04\u0e49\u0e19\u0e2b\u0e32\u0e04\u0e48\u0e32\u0e17\u0e35\u0e48\u0e04\u0e27\u0e23\u0e2d\u0e22\u0e39\u0e48\u0e17\u0e35\u0e48\u0e40\u0e1b\u0e2d\u0e23\u0e4c\u0e40\u0e0b\u0e47\u0e19\u0e44\u0e17\u0e25\u0e4c <sup>x<\/sup> \u0e2b\u0e23\u0e37\u0e2d\u0e2a\u0e39\u0e07\u0e01\u0e27\u0e48\u0e32<\/div>\n<div id=\"words_intro\"> \u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e40\u0e0a\u0e48\u0e19 \u0e2a\u0e21\u0e21\u0e15\u0e34\u0e27\u0e48\u0e32\u0e04\u0e30\u0e41\u0e19\u0e19\u0e43\u0e19\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a\u0e1a\u0e32\u0e07\u0e23\u0e32\u0e22\u0e01\u0e32\u0e23\u0e42\u0e14\u0e22\u0e1b\u0e01\u0e15\u0e34\u0e08\u0e30\u0e41\u0e08\u0e01\u0e41\u0e08\u0e07\u0e42\u0e14\u0e22\u0e21\u0e35\u0e04\u0e48\u0e32\u0e40\u0e09\u0e25\u0e35\u0e48\u0e22 85 \u0e41\u0e25\u0e30\u0e2a\u0e48\u0e27\u0e19\u0e40\u0e1a\u0e35\u0e48\u0e22\u0e07\u0e40\u0e1a\u0e19\u0e21\u0e32\u0e15\u0e23\u0e10\u0e32\u0e19\u0e40\u0e1b\u0e47\u0e19 4 \u0e40\u0e23\u0e32\u0e15\u0e49\u0e2d\u0e07\u0e01\u0e32\u0e23\u0e17\u0e23\u0e32\u0e1a\u0e27\u0e48\u0e32\u0e19\u0e31\u0e01\u0e40\u0e23\u0e35\u0e22\u0e19\u0e08\u0e30\u0e15\u0e49\u0e2d\u0e07\u0e44\u0e14\u0e49\u0e23\u0e31\u0e1a\u0e04\u0e30\u0e41\u0e19\u0e19\u0e40\u0e17\u0e48\u0e32\u0e43\u0e14\u0e08\u0e36\u0e07\u0e08\u0e30\u0e44\u0e14\u0e49\u0e04\u0e30\u0e41\u0e19\u0e19\u0e2a\u0e39\u0e07\u0e01\u0e27\u0e48\u0e32 95% \u0e02\u0e2d\u0e07\u0e19\u0e31\u0e01\u0e40\u0e23\u0e35\u0e22\u0e19\u0e04\u0e19\u0e2d\u0e37\u0e48\u0e19\u0e46 \u0e17\u0e31\u0e49\u0e07\u0e2b\u0e21\u0e14 . \u0e40\u0e04\u0e23\u0e37\u0e48\u0e2d\u0e07\u0e04\u0e34\u0e14\u0e40\u0e25\u0e02\u0e19\u0e35\u0e49\u0e08\u0e30\u0e0a\u0e48\u0e27\u0e22\u0e43\u0e2b\u0e49\u0e40\u0e23\u0e32\u0e2b\u0e32\u0e04\u0e30\u0e41\u0e19\u0e19\u0e19\u0e35\u0e49\u0e44\u0e14\u0e49<\/div>\n<div id=\"words_intro\"> \u0e2b\u0e32\u0e01\u0e15\u0e49\u0e2d\u0e07\u0e01\u0e32\u0e23\u0e04\u0e49\u0e19\u0e2b\u0e32\u0e04\u0e48\u0e32\u0e08\u0e38\u0e14\u0e15\u0e31\u0e14\u0e2a\u0e33\u0e2b\u0e23\u0e31\u0e1a\u0e04\u0e48\u0e32\u0e40\u0e09\u0e25\u0e35\u0e48\u0e22\u0e1b\u0e23\u0e30\u0e0a\u0e32\u0e01\u0e23 \u0e04\u0e48\u0e32\u0e40\u0e1a\u0e35\u0e48\u0e22\u0e07\u0e40\u0e1a\u0e19\u0e21\u0e32\u0e15\u0e23\u0e10\u0e32\u0e19\u0e1b\u0e23\u0e30\u0e0a\u0e32\u0e01\u0e23 \u0e41\u0e25\u0e30\u0e40\u0e1b\u0e2d\u0e23\u0e4c\u0e40\u0e0b\u0e47\u0e19\u0e44\u0e17\u0e25\u0e4c\u0e17\u0e35\u0e48\u0e01\u0e33\u0e2b\u0e19\u0e14 \u0e40\u0e1e\u0e35\u0e22\u0e07\u0e01\u0e23\u0e2d\u0e01\u0e04\u0e48\u0e32\u0e17\u0e35\u0e48\u0e08\u0e33\u0e40\u0e1b\u0e47\u0e19\u0e14\u0e49\u0e32\u0e19\u0e25\u0e48\u0e32\u0e07\u0e41\u0e25\u0e49\u0e27\u0e04\u0e25\u0e34\u0e01\u0e1b\u0e38\u0e48\u0e21 &#8220;\u0e04\u0e33\u0e19\u0e27\u0e13&#8221;<\/div>\n<div id=\"words\"> <label for=\"pop_mean\"><b>\u0e04\u0e48\u0e32\u0e40\u0e09\u0e25\u0e35\u0e48\u0e22\u0e1b\u0e23\u0e30\u0e0a\u0e32\u0e01\u0e23 (\u03bc)<\/b><\/label><input type=\"number\" id=\"pop_mean\" min=\"0\" value=\"85\"><\/div>\n<div id=\"words\"> <label for=\"pop_sd\"><b>\u0e2a\u0e48\u0e27\u0e19\u0e40\u0e1a\u0e35\u0e48\u0e22\u0e07\u0e40\u0e1a\u0e19\u0e21\u0e32\u0e15\u0e23\u0e10\u0e32\u0e19\u0e1b\u0e23\u0e30\u0e0a\u0e32\u0e01\u0e23 (\u03c3)<\/b><\/label><input type=\"number\" id=\"pop_sd\" min=\"0\" value=\"4\"><\/div>\n<div id=\"words\"> <label for=\"x\"><b>\u0e40\u0e1b\u0e2d\u0e23\u0e4c\u0e40\u0e0b\u0e47\u0e19\u0e44\u0e17\u0e25\u0e4c <sup>x<\/sup><\/b><\/label> <input type=\"number\" id=\"x\" min=\"0\" value=\"95\"><\/div>\n<div id=\"words\"><input type=\"button\" id=\"button\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div>\n<p> \u0e04\u0e48\u0e32 <span id=\"value\"><b>91.57941<\/b><\/span> \u0e15\u0e49\u0e2d\u0e07\u0e21\u0e32\u0e01\u0e01\u0e27\u0e48\u0e32 <span id=\"x_out\">95<\/span> % \u0e02\u0e2d\u0e07\u0e04\u0e48\u0e32\u0e2d\u0e37\u0e48\u0e19\u0e46 \u0e17\u0e31\u0e49\u0e07\u0e2b\u0e21\u0e14<\/p>\n<\/div>\n<hr id=\"hr_top\">\n<div>\n<h2> <b>\u0e04\u0e33\u0e2d\u0e18\u0e34\u0e1a\u0e32\u0e22:<\/b><\/h2>\n<\/div>\n<div>\n<p> z = (X \u2013 \u03bc) \/ \u03c3<\/p>\n<\/div>\n<div>\n<p> <span id=\"z_out1\">1.64485<\/span> = (X \u2013 <span id=\"mean_out1\">85<\/span> ) \/ <span id=\"sd_out1\">4<\/span><\/p>\n<\/div>\n<div>\n<p> <span id=\"z_out2\">1.64485<\/span> * <span id=\"sd_out2\">4<\/span> = X \u2013 <span id=\"mean_out2\">85<\/span><\/p>\n<\/div>\n<div>\n<p> ( <span id=\"z_out3\">1.64485<\/span> * <span id=\"sd_out3\">4<\/span> ) + <span id=\"mean_out3\">85<\/span> =<\/p>\n<\/div>\n<div>\n<p> <span id=\"value2\"><b>91.57941<\/b><\/span> =<\/p>\n<\/div>\n<div class=\"content_hint\"><\/div>\n<p><script><\/p>\n<p>function calc() {<\/p>\n<p>\t\/\/get input degrees of freedom, t-value\n\tvar x = document.getElementById('x').value*1;\n\tvar pop_mean = document.getElementById('pop_mean').value*1;\n\tvar pop_sd = document.getElementById('pop_sd').value*1;<\/p>\n<p>\t\/\/calculate z-score\n\tvar z = jStat.normal.inv((x\/100), 0, 1);\n\tvar value = (z*pop_sd) - (-pop_mean);<\/p>\n<p>\t\/\/output values\n    document.getElementById('value').innerHTML = \"<b>\" + value.toFixed(5) + \"<\/b>\";\n    document.getElementById('value2').innerHTML = \"<b>\" + value.toFixed(5) + \"<\/b>\";\n\tdocument.getElementById('x_out').innerHTML = x;\n\tdocument.getElementById('z_out1').innerHTML = z.toFixed(5);\n    document.getElementById('z_out2').innerHTML = z.toFixed(5);\n    document.getElementById('z_out3').innerHTML = z.toFixed(5);\n    document.getElementById('sd_out1').innerHTML = pop_sd.toFixed(5);\n    document.getElementById('sd_out2').innerHTML = pop_sd.toFixed(5);\n    document.getElementById('sd_out3').innerHTML = pop_sd.toFixed(5);\n    document.getElementById('mean_out1').innerHTML = pop_mean.toFixed(5);\n    document.getElementById('mean_out2').innerHTML = pop_mean.toFixed(5);\n    document.getElementById('mean_out3').innerHTML = pop_mean.toFixed(5);\n  }<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0e2a\u0e33\u0e2b\u0e23\u0e31\u0e1a\u0e1b\u0e23\u0e30\u0e0a\u0e32\u0e01\u0e23\u0e41\u0e1a\u0e1a\u0e01\u0e23\u0e30\u0e08\u0e32\u0e22\u0e1b\u0e01\u0e15\u0e34\u0e17\u0e35\u0e48\u0e21\u0e35\u0e04\u0e48\u0e32\u0e40\u0e09\u0e25\u0e35\u0e48\u0e22\u0e17\u0e35\u0e48\u0e01\u0e33\u0e2b\u0e19\u0e14 ( \u03bc )  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-440","post","type-post","status-publish","format-standard","hentry","category-3"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ 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