Subject: Mathematics
Book: Maths Mastery
Confidence intervals estimate a population parameter (e.g., mean) from a sample, providing a range in which the parameter likely lies. A basic approach for a large sample is Mean ± z*(σ/√n), where z is the z-score for the desired confidence level (like z=1.96 for ~95%), σ is the population standard deviation (or sample-based estimate), and n is the sample size. For instance, if a sample mean is 100 with σ=15 and n=100, a 95% CI is 100 ± 1.96*(15/10)=100 ± 2.94 → (97.06, 102.94). Confidence intervals are vital in research, polling, and risk management, ensuring informed conclusions with quantifiable uncertainties.
If the radius of a circle is doubled, what happens to its area?
View QuestionThe sum of the squares of two consecutive integers is 145. What are the integers?
View QuestionThe sides of a triangle are 7, 24, and 25. Is this a right triangle?
View QuestionIf the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?
View QuestionIf the sum of three consecutive integers is 72, what are the integers?
View QuestionWhat is the LCM of 15 and 20?
View QuestionIf a = 2 and b = 3, what is the value of (a^2 + b^2)?
View QuestionWhat is the 7th term of the arithmetic progression 3, 6, 9, 12,...?
View QuestionWhat is the square root of 121?
View QuestionWhat is the square root of 144?
View Question