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

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The t-Test
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When should you use a t-test rather than a z-test?

When population variance is unknown

For a t-test with sample size n=15n=15, what are the degrees of freedom?

1414

In the sample variance formula, why do we divide by n−1n-1 rather than nn?

To make it an unbiased estimator

What is the formula for the t-test statistic?

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

How do t-distribution tails compare to Normal distribution tails?

Heavier tails

When can you use Normal distribution instead of t-distribution?

When sample size n≥30n \geq 30

Which two conditions must be met for a valid t-test?

Normal population & random sample

In a two-tailed test with one-tail p-value 3%3\%, what is the total p-value?

6%6\%

What is the confidence interval formula using t-distribution?

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

Why do we use n−1n-1 degrees of freedom in the t-test?

Sample mean used in variance calculation

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