{"id":231162,"date":"2025-10-22T08:59:30","date_gmt":"2025-10-22T03:29:30","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=231162"},"modified":"2025-10-28T11:30:43","modified_gmt":"2025-10-28T06:00:43","slug":"statistical-inference-for-ssc-cgl","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/statistical-inference-for-ssc-cgl\/","title":{"rendered":"Statistical Inference for SSC CGL Tier 2, Paper 2"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/statistical-inference-for-ssc-cgl\/#What_is_Statistical_Inference\" >What is Statistical Inference?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/statistical-inference-for-ssc-cgl\/#1_Estimation\" >1. Estimation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/statistical-inference-for-ssc-cgl\/#2_Hypothesis_Testing\" >2. Hypothesis Testing<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/statistical-inference-for-ssc-cgl\/#Common_Statistical_Tests\" >Common Statistical Tests<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/statistical-inference-for-ssc-cgl\/#Confidence_Intervals_and_Hypothesis_Testing_%E2%80%93_Connection\" >Confidence Intervals and Hypothesis Testing \u2013 Connection<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/statistical-inference-for-ssc-cgl\/#Key_Takeaways\" >Key Takeaways<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/statistical-inference-for-ssc-cgl\/#FAQs\" >FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>In the SSC CGL Tier 2 <a href=\"https:\/\/www.oliveboard.in\/ssc-jso\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO<\/a> Paper, questions from <em>Statistical Inference<\/em> test your understanding of how conclusions are drawn from data. This topic includes Estimation (Point and Interval) and Hypothesis Testing using different statistical tests like Z, t, Chi-square, and F tests. This blog explains each of these concepts in simple terms, with formulas and examples to help you prepare effectively.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-what-is-statistical-inference\"><span class=\"ez-toc-section\" id=\"What_is_Statistical_Inference\"><\/span><strong>What is Statistical Inference?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Statistical Inference means using sample data to make conclusions or generalizations about a larger population. Since collecting data for an entire population is often not possible, we analyze a <strong>sample<\/strong> and use statistical methods to estimate population parameters or test assumptions. There are two main parts of statistical inference:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Estimation<\/strong> \u2013 Finding approximate values of population parameters.<\/li>\n\n\n\n<li><strong>Hypothesis Testing<\/strong> \u2013 Checking whether assumptions about the population are true or not.<\/li>\n<\/ol>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=Contms&amp;utm_medium=Organic&amp;utm_source=Blog&amp;utm_campaign=Contms\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt Free New Interface SSC CGL Tier 2 Mock test<\/a><\/div>\n<\/div>\n\n\n\n<p>Also check out <a href=\"https:\/\/www.oliveboard.in\/blog\/most-repeated-quantitative-aptitude-questions-for-ssc-cgl-tier-2\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Most Repeated Quantitative Aptitude Questions for SSC CGL Tier 2<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-1-estimation\"><span class=\"ez-toc-section\" id=\"1_Estimation\"><\/span><strong>1. Estimation<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-what-is-estimation\"><strong>What is Estimation?<\/strong><\/h3>\n\n\n\n<p>Estimation is the process of finding the <strong>approximate value<\/strong> of an unknown population parameter (like mean or proportion) based on sample data.<\/p>\n\n\n\n<p>There are two types of estimation:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Point Estimation<\/strong><\/li>\n\n\n\n<li><strong>Interval Estimation<\/strong><\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-point-estimation\"><strong>Point Estimation<\/strong><\/h3>\n\n\n\n<p>Point estimation gives a <strong>single best value<\/strong> of a population parameter.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Parameter<\/strong><\/strong><\/td><td><strong><strong>Point Estimator<\/strong><\/strong><\/td><td><strong>Example<\/strong><\/td><\/tr><tr><td>Population Mean (\u03bc)<\/td><td>Sample Mean (x\u0304)<\/td><td>Average height of 100 students used to estimate population mean height<\/td><\/tr><tr><td>Population Proportion (p)<\/td><td>Sample Proportion (p\u0302)<\/td><td>Proportion of voters supporting a candidate from a small survey<\/td><\/tr><tr><td>Population Variance (\u03c3\u00b2)<\/td><td>Sample Variance (s\u00b2)<\/td><td>Variance of sample marks used to estimate total variance<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link has-text-align-center wp-element-button\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-tier-2-weightage-of-english-and-quant\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">Check SSC CGL Tier 2 Weightage of English and Quant<\/a><\/div>\n<\/div>\n\n\n\n<p>Also check out <a href=\"https:\/\/www.oliveboard.in\/blog\/most-repeated-english-questions-for-ssc-cgl-tier-2\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Most Repeated Quantitative Aptitude Questions for SSC CGL Tier 2<\/strong><\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-interval-estimation\"><strong>Interval Estimation<\/strong><\/h3>\n\n\n\n<p>Interval estimation gives a <strong>range of values<\/strong> within which the population parameter is expected to lie, along with a certain level of confidence.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"597\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.32.33-AM-1024x597.webp\" alt=\"\" class=\"wp-image-231224\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.32.33-AM-1024x597.webp 1024w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.32.33-AM-768x448.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.32.33-AM-150x87.webp 150w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.32.33-AM.webp 1492w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>So, <strong>Confidence Interval = (68.04, 71.96)<\/strong><\/p>\n\n\n\n<p>This means we are 95% confident that the true population mean lies between 68.04 and 71.96.<\/p>\n\n\n\n<p>Check out <a href=\"https:\/\/www.oliveboard.in\/blog\/most-repeated-reasoning-and-general-intelligence-questions-for-ssc-cgl-tier-2\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Most Repeated Reasoning Questions for SSC CGL Tier 2<\/strong><\/a><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-2-hypothesis-testing\"><span class=\"ez-toc-section\" id=\"2_Hypothesis_Testing\"><\/span><strong>2. Hypothesis Testing<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Hypothesis testing is a method to decide whether there is enough statistical evidence in a sample to support or reject a claim (called a hypothesis) about a population parameter. Below are the steps in hypothesis testing:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Step<\/strong><\/strong><\/td><td><strong><strong>Description<\/strong><\/strong><\/td><\/tr><tr><td>1. Formulate Hypotheses<\/td><td>Set <strong>Null Hypothesis (H\u2080)<\/strong> and <strong>Alternative Hypothesis (H\u2081)<\/strong><\/td><\/tr><tr><td>2. Select Significance Level<\/td><td>Usually \u03b1 = 0.05 or 0.01<\/td><\/tr><tr><td>3. Choose Appropriate Test<\/td><td>Z, t, Chi-square, or F test<\/td><\/tr><tr><td>4. Compute Test Statistic<\/td><td>Using formulas based on sample data<\/td><\/tr><tr><td>5. Decision<\/td><td>Compare test statistic with critical value to accept or reject H\u2080<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Check out <a href=\"https:\/\/www.oliveboard.in\/blog\/most-repeated-computer-awareness-questions-for-ssc-cgl-tier-2\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Most Repeated Computer Awareness Questions for SSC CGL Tier 2<\/strong><\/a><\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-types-of-errors\"><strong>Types of Errors<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Error Type<\/strong><\/strong><\/td><td><strong><strong>Description<\/strong><\/strong><\/td><\/tr><tr><td><strong>Type I Error<\/strong><\/td><td>Rejecting H\u2080 when it is true (False positive)<\/td><\/tr><tr><td><strong>Type II Error<\/strong><\/td><td>Accepting H\u2080 when it is false (False negative)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-common-statistical-tests\"><span class=\"ez-toc-section\" id=\"Common_Statistical_Tests\"><\/span><strong>Common Statistical Tests<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Depending on the type of data and sample size, different tests are used in hypothesis testing.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-1-z-test\"><strong>1. Z-Test<\/strong><\/h3>\n\n\n\n<p><strong>Used when:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Population standard deviation (\u03c3) is known<\/li>\n\n\n\n<li>Sample size is large (n \u2265 30)<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"936\" height=\"216\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.35.15-AM.webp\" alt=\"\" class=\"wp-image-231225\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.35.15-AM.webp 936w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.35.15-AM-768x177.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.35.15-AM-150x35.webp 150w\" sizes=\"auto, (max-width: 936px) 100vw, 936px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong><strong>Test Type<\/strong><\/strong><\/td><td><strong><strong>Purpose<\/strong><\/strong><\/td><\/tr><tr><td>One-sample Z-test<\/td><td>To test if sample mean = population mean<\/td><\/tr><tr><td>Two-sample Z-test<\/td><td>To compare means of two samples<\/td><\/tr><tr><td>Proportion Z-test<\/td><td>To test equality of proportions<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-tier-2-books\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">Check SSC CGL Tier 2 Books<\/a><\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-2-t-test\"><strong>2. t-Test<\/strong><\/h3>\n\n\n\n<p><strong>Used when:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Population standard deviation (\u03c3) is unknown<\/li>\n\n\n\n<li>Sample size is small (n &lt; 30)<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"936\" height=\"216\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.36.07-AM.webp\" alt=\"\" class=\"wp-image-231226\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.36.07-AM.webp 936w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.36.07-AM-768x177.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.36.07-AM-150x35.webp 150w\" sizes=\"auto, (max-width: 936px) 100vw, 936px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Test Type<\/strong><\/strong><\/td><td><strong><strong>Purpose<\/strong><\/strong><\/td><\/tr><tr><td>One-sample t-test<\/td><td>Test sample mean vs population mean<\/td><\/tr><tr><td>Two-sample t-test<\/td><td>Compare two independent sample means<\/td><\/tr><tr><td>Paired t-test<\/td><td>Compare before-after observations of same group<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-tier-2-previous-year-paper\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CGL Tier 2 Previous Year Paper, Download Free PDF<\/a><\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-3-chi-square-\u03c7\u00b2-test\"><strong>3. Chi-Square (\u03c7\u00b2) Test<\/strong><\/h3>\n\n\n\n<p><strong>Used for:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Testing <strong>goodness of fit<\/strong> or <strong>independence<\/strong> of two attributes in a contingency table.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"936\" height=\"216\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.38.32-AM.webp\" alt=\"\" class=\"wp-image-231227\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.38.32-AM.webp 936w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.38.32-AM-768x177.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.38.32-AM-150x35.webp 150w\" sizes=\"auto, (max-width: 936px) 100vw, 936px\" \/><\/figure>\n\n\n\n<p>where,<br>O = Observed frequency,<br>E = Expected frequency.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Test Type<\/strong><\/strong><\/td><td><strong><strong>Purpose<\/strong><\/strong><\/td><\/tr><tr><td>Goodness of Fit<\/td><td>Check if observed data follows a theoretical distribution<\/td><\/tr><tr><td>Test of Independence<\/td><td>Check if two categorical variables are related<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-4-f-test\"><strong>4. F-Test<\/strong><\/h3>\n\n\n\n<p><strong>Used for:<\/strong><br>Comparing <strong>variances of two populations<\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"936\" height=\"216\" src=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.38.41-AM.webp\" alt=\"\" class=\"wp-image-231228\" srcset=\"https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.38.41-AM.webp 936w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.38.41-AM-768x177.webp 768w, https:\/\/www.oliveboard.in\/blog\/wp-content\/uploads\/2025\/10\/Screen-Shot-2025-10-22-at-8.38.41-AM-150x35.webp 150w\" sizes=\"auto, (max-width: 936px) 100vw, 936px\" \/><\/figure>\n\n\n\n<p><strong>Example:<\/strong><br>Used in <strong>ANOVA (Analysis of Variance)<\/strong> to test if means of multiple groups are equal.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Test Type<\/strong><\/strong><\/td><td><strong><strong>Purpose<\/strong><\/strong><\/td><\/tr><tr><td>Two-Sample F-test<\/td><td>Compare variances<\/td><\/tr><tr><td>ANOVA<\/td><td>Compare means of more than two groups<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-confidence-intervals-and-hypothesis-testing-connection\"><span class=\"ez-toc-section\" id=\"Confidence_Intervals_and_Hypothesis_Testing_%E2%80%93_Connection\"><\/span><strong>Confidence Intervals and Hypothesis Testing \u2013 Connection<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Both estimation and hypothesis testing are linked:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>confidence interval<\/strong> provides a range for the parameter.<\/li>\n\n\n\n<li>A <strong>hypothesis test<\/strong> checks if a specific value (like population mean) lies inside or outside that range.<\/li>\n<\/ul>\n\n\n\n<p>If the hypothesized value lies <strong>outside<\/strong> the confidence interval, <strong>H\u2080 is rejected<\/strong>.<\/p>\n\n\n\n<p>Check other SSC JSO related blogs:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong><strong>Blogs<\/strong><\/strong><\/td><td><strong>Blogs<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/ssc-jso-mock-test\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Mock Test<\/a><\/td><td><a href=\"https:\/\/www.oliveboard.in\/blog\/ssc-jso-books\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Books<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.oliveboard.in\/blog\/ssc-jso-cutoff\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Cut Off<\/a><\/td><td><a href=\"https:\/\/www.oliveboard.in\/blog\/ssc-jso-promotion\/?ref=contmk-blogs\" target=\"_blank\" rel=\"noreferrer noopener\">SSC JSO Promotion<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-key-takeaways\"><span class=\"ez-toc-section\" id=\"Key_Takeaways\"><\/span><strong>Key Takeaways<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Statistical inference<\/strong> helps draw conclusions about populations using sample data.<\/li>\n\n\n\n<li><strong>Point and Interval estimation<\/strong> give single or range-based parameter estimates.<\/li>\n\n\n\n<li><strong>Z-test, t-test, Chi-square, and F-test<\/strong> are the core hypothesis tests for SSC CGL Tier 2 (JSO).<\/li>\n\n\n\n<li>Always identify the test type based on sample size, data type, and whether variance is known.<\/li>\n\n\n\n<li>Practice questions based on <strong>test statistic formulas<\/strong> and <strong>decision-making rules<\/strong> for better accuracy in the exam.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-faqs\"><span class=\"ez-toc-section\" id=\"FAQs\"><\/span><strong>FAQs <\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1761103650368\"><strong class=\"schema-faq-question\"><strong>Q1. What is the difference between point and interval estimation?<\/strong><\/strong> <p class=\"schema-faq-answer\">Point estimation gives one single value, while interval estimation gives a range with a confidence level.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761103661094\"><strong class=\"schema-faq-question\"><strong>Q2. When should a Z-test be used?<\/strong><\/strong> <p class=\"schema-faq-answer\">Use a Z-test when the population variance is known, or the sample size is large (\u2265 30).<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761103677112\"><strong class=\"schema-faq-question\"><strong>Q3. What is the purpose of a t-test?<\/strong><\/strong> <p class=\"schema-faq-answer\">A t-test is used when the sample size is small and population standard deviation is unknown.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761103688847\"><strong class=\"schema-faq-question\"><strong>Q4. What is a Chi-square test used for?<\/strong><\/strong> <p class=\"schema-faq-answer\">It is used to test the independence of two attributes or to check the goodness of fit of data.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1761103696659\"><strong class=\"schema-faq-question\"><strong>Q5. What is an F-test used for?<\/strong><\/strong> <p class=\"schema-faq-answer\">An F-test compares variances or is used in ANOVA to test if group means are equal.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-tier-1-pyps\/\">SSC CGL 2025 Tier 1 Question Papers, Shift-Wise PYPs, Download PDFs<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-air-70-strategy\/\">SSC CGL AIR 70 Strategy: Mock Analysis &amp; Prep Tips<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/how-did-air-1-use-oliveboard-to-crack-ssc-cgl\/\">How did AIR 1 use Oliveboard to crack SSC CGL 2026? Mock Data Analysis<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/number-puzzles-for-ssc\/\">Number Puzzle Questions for SSC Exams, Attempt Now<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/geometry\/\">Geometry Question Types, Formulas, Concepts, Short Tricks<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/active-passive-voice-for-ssc-exams\/\">Active and Passive Voice Questions for SSC Exams 2026, Attempt Now<\/a><\/li>\n<\/ul>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><br><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the SSC CGL Tier 2 SSC JSO Paper, questions from Statistical Inference test your understanding of how conclusions are<\/p>\n","protected":false},"author":65,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,5217,10231,63],"tags":[],"class_list":["post-231162","post","type-post","status-publish","format-standard","hentry","category-articles","category-ssc-prep","category-ssc-railways","category-ssc-exams","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Statistical Inference for SSC CGL Tier 2, Paper 2<\/title>\n<meta name=\"description\" content=\"Learn Statistical Inference for SSC CGL Tier 2 JSO \u2013 including Estimation, Hypothesis Testing, Z, t, Chi-square, and F-tests explained with examples.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.oliveboard.in\/blog\/statistical-inference-for-ssc-cgl\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Statistical Inference for SSC CGL Tier 2, Paper 2\" \/>\n<meta property=\"og:description\" content=\"In the SSC CGL Tier 2 SSC JSO Paper, questions from Statistical Inference test your understanding of how conclusions are drawn from data. 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