Starnes/Tabor, The Practice of Statistics for the AP® Course, 7e, Unit 7, English
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9 Terms
t distribution
A distribution described by a symmetric, single-peaked, bell-shaped density curve centered at 0 that is completely specified by its degrees of freedom (df) and has more area in its tails than the standard normal distribution. When performing inference about a population mean μ based on a random sample of size n using the sample standard deviation sx to estimate the population standard deviation σ, use a t distribution with df = n − 1.
standard error of the sample mean x
The standard error of x estimates how much the sample mean x typically varies from the population mean μ in repeated random samples of size n.
one-sample t interval for a mean
Confidence interval used to estimate a population mean μ when the population standard deviation σ is unknown.
paired data
The result of recording two values of the same quantitative variable for each individual or for each pair of similar individuals.
paired t interval for a mean difference
Confidence interval used with paired data to estimate a population mean difference.
one-sample t test for a mean
A significance test of the null hypothesis that a population mean μ is equal to a specified value, when the population standard deviation σ is unknown.
paired t test for a mean difference
A significance test of the null hypothesis that a population mean difference is equal to a specified value, usually 0.
two-sample t interval for a difference in means
Confidence interval used to estimate a difference in the means of two populations or treatments, when both population standard deviations are unknown.
two-sample t test for a difference in means
A significance test of the null hypothesis that the difference in the means of two populations or treatments is equal to a specified value (usually 0), when both population standard deviations are unknown.