What is the formula for a t-score?
$t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}$
How do you calculate degrees of freedom (df) for a one-sample t-test?
$df = n - 1$
What is the definition of a t-score?
A test statistic indicating how many standard errors away a sample mean is from the hypothesized population mean.
What is the definition of a p-value?
The probability of observing a test statistic as extreme as, or more extreme than, the one calculated, assuming the null hypothesis is true.
Define a one-tailed test.
A hypothesis test where the alternative hypothesis is directional (e.g., ฮผ > X or ฮผ < X).
Define a two-tailed test.
A hypothesis test where the alternative hypothesis is non-directional (e.g., ฮผ โ X).
What are degrees of freedom (df)?
The number of independent pieces of information available to estimate a parameter. In a one-sample t-test, df = n - 1.
What are the differences between a one-tailed test and a two-tailed test?
One-tailed: Alternative hypothesis is directional, looks for evidence in one tail. | Two-tailed: Alternative hypothesis is non-directional, looks for evidence in either tail.
