One can estimate the mean using the t distribution. In this post, we will discuss estimating mean using t distribution. The process of constructing a confidence interval using a t distribution is almost identical to that used to construct a confidence interval using the standard normal distribution. Margin of Error Example: Estimating mean using t distribution Exercise: Estimate Mean using t distribution…

Test your aptitude with these 10 mixture and alligation problems! This MCQ test contains a mixture problem quiz to practice key concepts like concentration changes, cost mixtures, and liquid blends. Ideal for competitive exam prep—GMAT, GRE, SSC, or banking. Sharpen your math skills and master mixture problems step-by-step!" Let us start with the Online Mixture Problem Quiz now. Online Mixture Problem Quiz with Answers A mixture of 70 liters of milk and water contains 10% water. How much water must be added to make water $12\frac{1}{2}$%? A jug contains three parts of pure milk and one part of water.

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Test your knowledge with this essential General Science Quiz for Class 9 (FBISE)! Based on the official book, this Our Life and Chemistry Quiz covers key concepts in chemistry and biology, from the minerals in our body and the properties of carbon to the composition of air and common chemical compounds. Perfect for exam preparation, see how well you understand the science of life and matter. Let us start with the online Our Life and Chemistry Quiz now. Our Life and Chemistry Quiz with Answers Weakening of straw in grain crops (lodging) is due to the deficiency of one of the following minerals…

Standardized scores (or z-scores) are one of the most fundamental and powerful concepts in statistics and data science. In this post, we will describe real-life examples and specific applications for different roles. What is Standardized Score (or Standard Score or Z-Score) Z-Score Real-Life Example: College Admission Use and Applications for Data Professionals Z-Score Uses and Applications for the Statistician Use and Applications for the Data Analysts…

Test and solidify your understanding of core statistical concepts with this comprehensive Measure of Central Tendency MCQs Quiz. Designed for statisticians, data analysts, and data scientists, this quiz is perfect for job exam preparation, university tests, and interview readiness. Challenge yourself with questions on mean, median, mode, weighted averages, geometric mean, and population parameters. Assess your ability to apply the right measure of central tendency to real-world scenarios, including skewed distributions, percentage data, and financial calculations.

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Combining events using AND is a fundamental concept in probability, logic, and set theory. We are describing a situation where multiple conditions must be true simultaneously. In the language of probability and set theory, this is known as finding the intersection of events. Learn how to combine events using AND in set theory and probability. Understand the multiplication rule for independent and dependent events with clear examples like dice rolls, coin tosses, and card draws.

Learn how to calculate z scores in R with this step-by-step tutorial. Use R's powerful functions to standardize your data and analyze its distribution. Computing Z Scores in R Z-Score Transformation in R Transforming a Variable to Z-Score in R Calculating Z Scores in R Manually Given a distribution with mean $\overline{x}$ and standard deviation $s$, a location-scale transformation known as a Z-score will shift the distribution to have mean 0 and scale the spread to have standard deviation 1:

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Chebysheff Theorem (also spelled Chebyshev) is a statistical rule that guarantees a minimum proportion of data points within a certain number of standard deviations from the mean, for any dataset, regardless of its distribution. ChebySheff Theorem Formula Important Points about Chebyshev's Theorem Real-Life Application of Chebysheff's Theorem Business Decision Chebysheff's Theorem vs the Empirical Rule A more general interpretation of the standard deviation is derived from…

Test your knowledge with our 25 MCQs quiz from Class 9 General Science, Chapter 1: Introduction to Role of Science MCQs. Perfect for FBISE board students preparing for exams. Covers key scientists, branches of science, and historical contributions. Let us start with the Online Quiz about the Introduction to Role of Science MCQs now. Introduction to Role of Science MCQs with Answers ------------- allows us to develop new technologies. The name of the scientist known as "Father of modern optics" is Which of the following qualities of various metals was discovered by Al-Beruni?

All chapters' Multiple Choice Questions (MCQs) General Science Quizzes from the FBISE Book are available for 9th-grade students to practice. On our website, you can find the full book of 9th-class general science MCQs Tests. By properly learning these MCQs, 9th-grade students can significantly improve their objective test scores. General Science Quizzes 9th Class FBISE Board General Science Quizzes 9th Class FBISE Board Definition of General Science Importance of General Science Quizzes Definition of General Science General Science is the study of the basic principles of the natural world. It includes topics from…

Test your biostatistics knowledge with this 20-question Testing of Hypothesis MCQs Test. Master key concepts like p-value, null and alternative hypothesis, type 1 and type 2 error, statistical power, and confidence intervals. Perfect for students and professionals in medical statistics and research methodology to practice and prepare for exams. Let us start with the Testing of Hypothesis MCQs Test now.

Test your skills with this 20-question quiz on Statistics using Python MCQs. Master key concepts like pandas describe(), data normalization, LinearRegression, and Pearson Correlation. Perfect for data science interviews and beginners for the preparation of Python Programming. Topics include handling missing values, get_dummies(), groupby(), correlation, and regression. Let us start with the Statistics using Python MCQs now.

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Master essential SAS functions and techniques with this clear Q&A guide. Learn the key differences between CEIL vs. FLOOR, SET vs. MERGE, INFORMAT vs. FORMAT, and Match Merge vs. One-to-One Merge to write more efficient and accurate code. What is the difference between the CEIL and FLOOR functions in SAS? What is the difference between the CEIL and FLOOR functions in SAS?

Test your knowledge with this 20-question Public Finance Economics Test. Online MCQs Public Finance Economics Test Quiz covers key MCQs on taxation, monetary policy, inflation, and market structures to help you prepare for your exam. Let us start with the Online MCQs Public Finance Economics Test with answers. Online MCQs Public Finance Economics Test with Answers What is the term for the percentage of income that individuals or households pay in taxes? Which of the following is NOT a type of unemployment? The concept of "globalization" refers to the In economics, what is the term for a government policy of reducing the money supply and raising interest rates to combat inflation?

In this post, we will demystify the frequency polygon. You will learn what it is, how to create one from scratch, and understand when it's the right tool for your data storytelling. As you dive deeper into the world of statistics and data analysis, you will find that a good graph is worth a thousand data points. While histograms are often the first choice for visualizing frequency distributions, another powerful, yet sometimes overlooked, tool is the…

Learn how to generate, operate on, and modify lists in R programming. Complete guide covering list creation, element updates, deletion methods, and practical examples for efficient data management. Explain how to generate lists in R Programming? Using Colon Operator Using the list() function Using lapply() to generate lists Explain how to operate on lists in R Programming? Checking list properties…

Test your knowledge with this 20-question Public Finance Economics Quiz Test! Perfect for economics students and researchers, this quiz covers key concepts like fiscal policy, market failure, budget deficit, and the tragedy of the commons. Assess your understanding of public goods, price controls, and major economic theories. Use this as a study guide, for exam prep, or to benchmark your expertise in macroeconomics and government finance. Let us start with the Online Public Finance Economics Quiz Test now. Online Public Finance Economics Quiz Test with Answers…

Test your auditing expertise with our 20-question Sampling Distribution MCQs Quiz. This quiz covers essential audit sampling concepts, including statistical vs. non-statistical sampling, sampling risk, attribute and variable sampling, and sample size determination. Perfect for CPA exam prep, auditing students, and professionals looking to strengthen their knowledge of discovery sampling, random selection, and evaluating sample results in a financial audit.

Prepare for your 9th Islamiat MCQs test with our comprehensive MCQ quiz. Includes 20 important questions and answers on Aqeeda Tauheed, Surah Ikhlas, Gunaah-e-Kabira, Hadith studies, and the revelation of the Holy Quran. Perfect for Muslim students and Islamic knowledge seekers. Let us start with the 9th Islamiat MCQs Test now. Online 9th Islamiat MCQs with Answers اللّٰہ تعالٰی بذریعہ وحی اپنے احکام نازل فرماتا ہے؟ عقیدہ توحید پر ایمان رکھنے والا انسان ہوتا ہے؟ اللّٰہ تعالٰی کے ساتھ کسی اور کو عبادت میں شریک کرنا کہلاتا ہے؟ سُبحٰنَہُ کا درست ترجمہ ہے؟

Learn to use fitdistr function in R (from MASS package) with this practical Q&A guide. Includes syntax, examples for Normal, Weibull, and Poisson distributions, and graphical visualization techniques for data analysis. What is fitdistr() function? What is the generic syntax of fitdistr() function? Give Examples of fitting a Probability Distribution to Data using fitdistr() Function. Example 1: Fitting a Normal Distribution…