{"id":440,"date":"2023-07-29T22:29:55","date_gmt":"2023-07-29T22:29:55","guid":{"rendered":"https:\/\/statorials.org\/my\/z-%e1%80%a1%e1%80%99%e1%80%be%e1%80%90%e1%80%ba%e1%80%96%e1%80%bc%e1%80%90%e1%80%ba%e1%80%82%e1%80%8f%e1%80%94%e1%80%ba%e1%80%b8%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba%e1%80%85%e1%80%80%e1%80%ba\/"},"modified":"2023-07-29T22:29:55","modified_gmt":"2023-07-29T22:29:55","slug":"z-%e1%80%a1%e1%80%99%e1%80%be%e1%80%90%e1%80%ba%e1%80%96%e1%80%bc%e1%80%90%e1%80%ba%e1%80%82%e1%80%8f%e1%80%94%e1%80%ba%e1%80%b8%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba%e1%80%85%e1%80%80%e1%80%ba","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/z-%e1%80%a1%e1%80%99%e1%80%be%e1%80%90%e1%80%ba%e1%80%96%e1%80%bc%e1%80%90%e1%80%ba%e1%80%82%e1%80%8f%e1%80%94%e1%80%ba%e1%80%b8%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba%e1%80%85%e1%80%80%e1%80%ba\/","title":{"rendered":"Z \u101b\u1019\u103e\u1010\u103a threshold \u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a"},"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\">\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e ( <b>\u03bc<\/b> ) \u1014\u103e\u1004\u1037\u103a \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f ( <b>\u03c3<\/b> ) \u1016\u103c\u1004\u1037\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1011\u102c\u1038\u101e\u1031\u102c \u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1024\u1002\u100f\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1000\u103a\u101e\u100a\u103a <sup>xth<\/sup> \u101b\u102c\u1001\u102d\u102f\u1004\u103a\u1014\u103e\u102f\u1014\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a \u1015\u102d\u102f\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101e\u100a\u103a\u104b<\/div>\n<div id=\"words_intro\"> \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u101b\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a 85 \u1014\u103e\u1004\u1037\u103a 4 \u104f \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1021\u1001\u103c\u102c\u1038\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f 95% \u1011\u1000\u103a \u101b\u1019\u103e\u1010\u103a\u1015\u102d\u102f\u1019\u102d\u102f\u101b\u101b\u103e\u102d\u101b\u1014\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u101e\u100a\u103a \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u101b\u1019\u103e\u1010\u103a\u1000\u102d\u102f \u101b\u101b\u103e\u102d\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101e\u102d\u101b\u103e\u102d\u101c\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b . \u1024\u1002\u100f\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1000\u103a\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1024\u101b\u1019\u103e\u1010\u103a\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/div>\n<div id=\"words_intro\"> \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c\u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1016\u103c\u1010\u103a\u1010\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u104a \u101c\u1030\u1026\u1038\u101b\u1031\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a \u101b\u102c\u1001\u102d\u102f\u1004\u103a\u1014\u103e\u102f\u1014\u103a\u1038\u1021\u101c\u102d\u102f\u1000\u103a \u1016\u103c\u1010\u103a\u1010\u1031\u102c\u1000\u103a\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101b\u1014\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101c\u102d\u102f\u1021\u1015\u103a\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u100a\u1037\u103a\u1005\u103d\u1000\u103a\u1015\u103c\u102e\u1038 &#8220; \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a&#8221;  \u1001\u101c\u102f\u1010\u103a\u1000\u102d\u102f \u1014\u103e\u102d\u1015\u103a\u1015\u102b\u104b<\/div>\n<div id=\"words\"> <label for=\"pop_mean\"><b>\u101c\u1030\u1026\u1038\u101b\u1031 \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e (\u03bc)<\/b><\/label><input type=\"number\" id=\"pop_mean\" min=\"0\" value=\"85\"><\/div>\n<div id=\"words\"> <label for=\"pop_sd\"><b>\u101c\u1030\u1026\u1038\u101b\u1031\u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a (\u03c3)<\/b><\/label><input type=\"number\" id=\"pop_sd\" min=\"0\" value=\"4\"><\/div>\n<div id=\"words\"> <label for=\"x\"><b><sup>xth<\/sup> \u101b\u102c\u1001\u102d\u102f\u1004\u103a\u1014\u103e\u102f\u1014\u103a\u1038<\/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> <span id=\"value\"><b>91.57941<\/b><\/span> \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1021\u1001\u103c\u102c\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f <span id=\"x_out\">95<\/span> % \u1011\u1000\u103a \u1000\u103c\u102e\u1038\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/p>\n<\/div>\n<hr id=\"hr_top\">\n<div>\n<h2> <b>\u101b\u103e\u1004\u103a\u1038\u101c\u1004\u103a\u1038\u1001\u103b\u1000\u103a-<\/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>\u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e ( \u03bc ) \u1014\u103e\u1004\u1037\u103a \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f ( \u03c3 ) \u1016\u103c\u1004\u1037\u103a \u1015\u102f\u1036\u1019\u103e\u1014\u103a\u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1011\u102c\u1038\u101e\u1031\u102c \u101c\u1030\u1026\u1038\u101b\u1031\u1021\u1010\u103d\u1000\u103a \u1024\u1002\u100f\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1000\u103a\u101e\u100a\u103a xth \u101b\u102c\u1001\u102d\u102f\u1004\u103a\u1014\u103e\u102f\u1014\u103a\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a \u1015\u102d\u102f\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1000\u102d\u102f \u101b\u103e\u102c\u1016\u103d\u1031\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1005\u102c\u1019\u1031\u1038\u1015\u103d\u1032\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u101b\u1019\u103e\u1010\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a 85 \u1014\u103e\u1004\u1037\u103a 4 \u104f \u1005\u1036\u101e\u103d\u1031\u1016\u100a\u103a\u1019\u103e\u102f\u1016\u103c\u1004\u1037\u103a \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1021\u1001\u103c\u102c\u1038\u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f 95% \u1011\u1000\u103a \u101b\u1019\u103e\u1010\u103a\u1015\u102d\u102f\u1019\u102d\u102f\u101b\u101b\u103e\u102d\u101b\u1014\u103a \u1000\u103b\u1031\u102c\u1004\u103a\u1038\u101e\u102c\u1038\u101e\u100a\u103a \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u101b\u1019\u103e\u1010\u103a\u1000\u102d\u102f \u101b\u101b\u103e\u102d\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u101e\u102d\u101b\u103e\u102d\u101c\u102d\u102f\u1015\u102b\u101e\u100a\u103a\u104b . \u1024\u1002\u100f\u1014\u103a\u1038\u1015\u1031\u102b\u1004\u103a\u1038\u1005\u1000\u103a\u101e\u100a\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u102c\u1038 \u1024\u101b\u1019\u103e\u1010\u103a\u1000\u102d\u102f 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