The t-Test (AQA A-Level Further Maths): Flashcards

📚Flashcards
The t-Test
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Condition for using t-test over z-test

Population variance unknown

Degrees of freedom formula for t-test

n−1n - 1

t-test statistic formula

t=Xˉ−μ0S/nt = \frac{\bar{X} - \mu_0}{S/\sqrt{n}}

Divisor in sample variance formula

n−1n - 1

Why use n−1n-1 in sample variance?

Makes it an unbiased estimator

Key characteristic of t-distribution shape

Heavier tails than Normal distribution

When does t-distribution approximate Normal?

Large sample size (n≥30n \geq 30)

Two validity conditions for t-test

Population Normal, sample random

Confidence interval formula using t-distribution

Xˉ±t×sn\bar{X} \pm t \times \frac{s}{\sqrt{n}}

What to consider in two-tailed t-test

Both tails of distribution

Join 100,000+ A-Level students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.