{"id":687,"date":"2023-07-29T02:17:38","date_gmt":"2023-07-29T02:17:38","guid":{"rendered":"https:\/\/statorials.org\/pl\/kalkulator-rozkladu-probek\/"},"modified":"2023-07-29T02:17:38","modified_gmt":"2023-07-29T02:17:38","slug":"kalkulator-rozkladu-probek","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/kalkulator-rozkladu-probek\/","title":{"rendered":"Kalkulator rozk\u0142adu pr\u00f3bkowania"},"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 {\ntext-align: center;\nfont-size: 50px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', 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 {\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;\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>#words 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    }\n#words_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}\n<\/style>\n<div id=\"words_intro\"><b><a href=\"https:\/\/statorials.org\/pl\/rozk\u0142ad-probkowania-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Rozk\u0142ad pr\u00f3bkowania<\/a><\/b> to rozk\u0142ad prawdopodobie\u0144stwa okre\u015blonej statystyki oparty na wielu losowych pr\u00f3bach z jednej populacji.<\/div>\n<div id=\"words_intro\"> Kalkulator ten oblicza prawdopodobie\u0144stwo uzyskania okre\u015blonej warto\u015bci \u015bredniej pr\u00f3bki na podstawie \u015bredniej populacji, odchylenia standardowego populacji i wielko\u015bci pr\u00f3by.<\/div>\n<div id=\"words_intro\"> Wystarczy wpisa\u0107 poni\u017cej odpowiednie warto\u015bci dla danego rozk\u0142adu, a nast\u0119pnie klikn\u0105\u0107 przycisk \u201eOblicz\u201d.<\/div>\n<div id=\"words\"> <label for=\"n\"><b>\u03bc<\/b> (\u015brednia populacji)<\/label><input type=\"number\" id=\"mean\" value=\"5.3\"><\/div>\n<div id=\"words\"> <label for=\"X\"><b>\u03c3<\/b> (odchylenie standardowe populacji)<\/label><input type=\"number\" id=\"sd\" value=\"9\"><\/div>\n<div id=\"words\"> <label for=\"p\"><b>n<\/b> (wielko\u015b\u0107 pr\u00f3bki)<\/label><input type=\"number\" id=\"n\" min=\"0\" value=\"20\"><\/div>\n<div id=\"words\"> <label for=\"X\"><b>X<\/b> (zmienna losowa)<\/label> <input type=\"number\" id=\"X\" min=\"0\" value=\"6\"><\/div>\n<div id=\"words\"><input type=\"button\" id=\"button\" onclick=\"binomialCalc()\" value=\"Calculate\"><\/div>\n<div>\n<p> P( <span style=\"text-decoration:overline\">x<\/span> \u2264 <span id=\"left\">6<\/span> ): <span id=\"lessEqualProb\">0,63602<\/span><\/p>\n<\/div>\n<div>\n<p> P( <span style=\"text-decoration:overline\">x<\/span> \u2265 <span id=\"right\">6<\/span> ): <span id=\"greaterEqualProb\">0,36398<\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>function binomialCalc() {<\/p>\n<p>\/\/get input values\nvar mean = document.getElementById('mean').value;\nvar sd = document.getElementById('sd').value;\nvar n = document.getElementById('n').value;\nvar X = document.getElementById('X').value;<\/p>\n<p>var sd2 = sd\/Math.sqrt(n);<\/p>\n<p>\/\/assign probabilities to variable names\nvar z_left = jStat.normal.cdf(X, mean, sd2);\nvar z_right = 1-z_left;<\/p>\n<p>\/\/output probabilities\ndocument.getElementById('lessEqualProb').innerHTML = z_left.toFixed(5);\ndocument.getElementById('greaterEqualProb').innerHTML = z_right.toFixed(5);\ndocument.getElementById('left').innerHTML = X;\ndocument.getElementById('right').innerHTML = X;<\/p>\n<p>}<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rozk\u0142ad pr\u00f3bkowania to rozk\u0142ad prawdopodobie\u0144stwa okre\u015blonej statystyki oparty na wielu losowych pr\u00f3bach z jednej populacji. Kalkulator ten oblicza prawdopodobie\u0144stwo uzyskania okre\u015blonej warto\u015bci \u015bredniej pr\u00f3bki na podstawie \u015bredniej populacji, odchylenia standardowego populacji i wielko\u015bci pr\u00f3by. Wystarczy wpisa\u0107 poni\u017cej odpowiednie warto\u015bci dla danego rozk\u0142adu, a nast\u0119pnie klikn\u0105\u0107 przycisk \u201eOblicz\u201d. \u03bc (\u015brednia populacji) \u03c3 (odchylenie standardowe populacji) n [&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-687","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Kalkulator rozk\u0142adu pr\u00f3bkowania - Statoriale<\/title>\n<meta name=\"description\" content=\"Kalkulator ten oblicza prawdopodobie\u0144stwa zwi\u0105zane z danym rozk\u0142adem pr\u00f3bkowania.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pl\/kalkulator-rozkladu-probek\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kalkulator rozk\u0142adu pr\u00f3bkowania - Statoriale\" \/>\n<meta property=\"og:description\" content=\"Kalkulator ten oblicza prawdopodobie\u0144stwa zwi\u0105zane z danym rozk\u0142adem pr\u00f3bkowania.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/kalkulator-rozkladu-probek\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T02:17:38+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/kalkulator-rozkladu-probek\/\",\"url\":\"https:\/\/statorials.org\/pl\/kalkulator-rozkladu-probek\/\",\"name\":\"Kalkulator rozk\u0142adu pr\u00f3bkowania - Statoriale\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-29T02:17:38+00:00\",\"dateModified\":\"2023-07-29T02:17:38+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Kalkulator ten oblicza prawdopodobie\u0144stwa zwi\u0105zane z danym rozk\u0142adem pr\u00f3bkowania.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/kalkulator-rozkladu-probek\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/kalkulator-rozkladu-probek\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/kalkulator-rozkladu-probek\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kalkulator rozk\u0142adu pr\u00f3bkowania\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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