{"id":440,"date":"2023-07-29T22:29:55","date_gmt":"2023-07-29T22:29:55","guid":{"rendered":"https:\/\/statorials.org\/hi\/z-%e0%a4%b8%e0%a5%8d%e0%a4%95%e0%a5%8b%e0%a4%b0-%e0%a4%95%e0%a4%9f-%e0%a4%91%e0%a4%ab-%e0%a4%95%e0%a5%88%e0%a4%b2%e0%a4%95%e0%a5%81%e0%a4%b2%e0%a5%87%e0%a4%9f%e0%a4%b0\/"},"modified":"2023-07-29T22:29:55","modified_gmt":"2023-07-29T22:29:55","slug":"z-%e0%a4%b8%e0%a5%8d%e0%a4%95%e0%a5%8b%e0%a4%b0-%e0%a4%95%e0%a4%9f-%e0%a4%91%e0%a4%ab-%e0%a4%95%e0%a5%88%e0%a4%b2%e0%a4%95%e0%a5%81%e0%a4%b2%e0%a5%87%e0%a4%9f%e0%a4%b0","status":"publish","type":"post","link":"https:\/\/statorials.org\/hi\/z-%e0%a4%b8%e0%a5%8d%e0%a4%95%e0%a5%8b%e0%a4%b0-%e0%a4%95%e0%a4%9f-%e0%a4%91%e0%a4%ab-%e0%a4%95%e0%a5%88%e0%a4%b2%e0%a4%95%e0%a5%81%e0%a4%b2%e0%a5%87%e0%a4%9f%e0%a4%b0\/","title":{"rendered":"Z \u0938\u094d\u0915\u094b\u0930 \u0925\u094d\u0930\u0947\u0936\u094b\u0932\u094d\u0921 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930"},"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\">\u0915\u093f\u0938\u0940 \u0926\u093f\u090f \u0917\u090f \u092e\u093e\u0927\u094d\u092f ( <b>\u03bc<\/b> ) \u0914\u0930 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 ( <b>\u03c3<\/b> ) \u0915\u0947 \u0938\u093e\u0925 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0930\u0942\u092a \u0938\u0947 \u0935\u093f\u0924\u0930\u093f\u0924 \u0906\u092c\u093e\u0926\u0940 \u0915\u0947 \u0932\u093f\u090f, \u092f\u0939 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0935\u0939 \u092e\u093e\u0928 \u0922\u0942\u0902\u0922\u0924\u093e \u0939\u0948 \u091c\u094b <sup>x\u0935\u0947\u0902<\/sup> \u092a\u094d\u0930\u0924\u093f\u0936\u0924\u0915 \u092f\u093e \u0909\u091a\u094d\u091a\u0924\u0930 \u092a\u0930 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964<\/div>\n<div id=\"words_intro\"> \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u090f\u0915 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0905\u0902\u0915 \u0906\u092e \u0924\u094c\u0930 \u092a\u0930 85 \u0915\u0947 \u0914\u0938\u0924 \u0914\u0930 4 \u0915\u0947 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0915\u0947 \u0938\u093e\u0925 \u0935\u093f\u0924\u0930\u093f\u0924 \u0915\u093f\u090f \u091c\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u0939\u092e \u091c\u093e\u0928\u0928\u093e \u091a\u093e\u0939\u0924\u0947 \u0939\u0948\u0902 \u0915\u093f \u090f\u0915 \u091b\u093e\u0924\u094d\u0930 \u0915\u094b \u0905\u0928\u094d\u092f \u0938\u092d\u0940 \u091b\u093e\u0924\u094d\u0930\u094b\u0902 \u0915\u0947 95% \u0938\u0947 \u0905\u0927\u093f\u0915 \u0905\u0902\u0915 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u0924\u0928\u093e \u0905\u0902\u0915 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964 . \u092f\u0939 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0939\u092e\u0947\u0902 \u092f\u0939 \u0938\u094d\u0915\u094b\u0930 \u0916\u094b\u091c\u0928\u0947 \u0915\u0940 \u0905\u0928\u0941\u092e\u0924\u093f \u0926\u0947\u0917\u093e\u0964<\/div>\n<div id=\"words_intro\"> \u0915\u093f\u0938\u0940 \u0926\u093f\u090f \u0917\u090f \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u092e\u093e\u0927\u094d\u092f, \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 \u0914\u0930 \u092a\u094d\u0930\u0924\u093f\u0936\u0924 \u0915\u0947 \u0932\u093f\u090f \u0915\u091f\u0911\u092b \u092e\u093e\u0928 \u0916\u094b\u091c\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u092c\u0938 \u0928\u0940\u091a\u0947 \u0906\u0935\u0936\u094d\u092f\u0915 \u092e\u093e\u0928 \u092d\u0930\u0947\u0902 \u0914\u0930 \u092b\u093f\u0930 &#8220;\u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902&#8221; \u092c\u091f\u0928 \u092a\u0930 \u0915\u094d\u0932\u093f\u0915 \u0915\u0930\u0947\u0902\u0964<\/div>\n<div id=\"words\"> <label for=\"pop_mean\"><b>\u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u092e\u093e\u0927\u094d\u092f (\u03bc)<\/b><\/label><input type=\"number\" id=\"pop_mean\" min=\"0\" value=\"85\"><\/div>\n<div id=\"words\"> <label for=\"pop_sd\"><b>\u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 (\u03c3)<\/b><\/label><input type=\"number\" id=\"pop_sd\" min=\"0\" value=\"4\"><\/div>\n<div id=\"words\"> <label for=\"x\"><b><sup>x\u0935\u093e\u0902<\/sup> \u0936\u0924\u092e\u0915<\/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> \u0915\u093e \u092e\u093e\u0928 \u0905\u0928\u094d\u092f \u0938\u092d\u0940 \u092e\u093e\u0928\u094b\u0902 \u0915\u0947 <span id=\"x_out\">95<\/span> % \u0938\u0947 \u0905\u0927\u093f\u0915 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964<\/p>\n<\/div>\n<hr id=\"hr_top\">\n<div>\n<h2> <b>\u0938\u094d\u092a\u0937\u094d\u091f\u0940\u0915\u0930\u0923:<\/b><\/h2>\n<\/div>\n<div>\n<p> z = (\u090f\u0915\u094d\u0938 &#8211; \u03bc) \/ \u03c3<\/p>\n<\/div>\n<div>\n<p> <span id=\"z_out1\">1.64485<\/span> = (\u090f\u0915\u094d\u0938 \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> = \u090f\u0915\u094d\u0938 \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>\u0915\u093f\u0938\u0940 \u0926\u093f\u090f \u0917\u090f \u092e\u093e\u0927\u094d\u092f ( \u03bc ) \u0914\u0930 \u092e\u093e\u0928\u0915 \u0935\u093f\u091a\u0932\u0928 ( \u03c3 ) \u0915\u0947 \u0938\u093e\u0925 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0930\u0942\u092a \u0938\u0947 \u0935\u093f\u0924\u0930\u093f\u0924 \u0906\u092c\u093e\u0926\u0940 \u0915\u0947 \u0932\u093f\u090f, \u092f\u0939 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0935\u0939 \u092e\u093e\u0928 \u0922\u0942\u0902\u0922\u0924\u093e \u0939\u0948 \u091c\u094b x\u0935\u0947\u0902 \u092a\u094d\u0930\u0924\u093f\u0936\u0924\u0915 \u092f\u093e \u0909\u091a\u094d\u091a\u0924\u0930 \u092a\u0930 \u0939\u094b\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f, \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0915\u093f \u090f\u0915 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u092e\u0947\u0902 \u0905\u0902\u0915 \u0906\u092e \u0924\u094c\u0930 \u092a\u0930 85 \u0915\u0947 \u0914\u0938\u0924 \u0914\u0930 4 [&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\/ -->\n<title>Z \u0938\u094d\u0915\u094b\u0930 \u0925\u094d\u0930\u0947\u0936\u094b\u0932\u094d\u0921 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