Subject: Mathematics
Book: Maths Mastery
When population standard deviation is unknown and sample sizes are small, the t-distribution replaces the normal (z) distribution in confidence interval and hypothesis testing. T-distributions depend on degrees of freedom (n–1 for a single sample). As sample size increases, the t-curve approaches the normal curve. For example, a 95% CI for a sample mean with 10 observations uses a critical t-value from t-tables. This approach underpins real-life scenarios with limited data, ensuring valid inference. Grasping the t-distribution is crucial in numerous lab measurements, academic research, or pilot studies with small samples.
If x + 1/x = 5, what is the value of x^2 + 1/x^2?
View QuestionIf the radius of a circle is 7 cm, what is its circumference?
View QuestionIf x^2 + 4x + 4 = 0, what is the value of x?
View QuestionIf a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?
View QuestionWhat is the sum of all even numbers between 1 and 50?
View QuestionIf 8x = 512, what is the value of x?
View QuestionIf a+b = 10 and ab = 21, what is the value of a^3 + b^3?
View QuestionThe base of a triangle is 10 cm and its height is 6 cm. What is its area?
View QuestionIf log(100) = 2 and log(10) = 1, what is log(1000)?
View QuestionIf x:y = 4:5 and y:z = 2:3, what is x:z?
View Question