AP Statistics: t-Inference

Front

What procedures are used to test a claim about a mean when the sample size is small?

Back

t procedures

Tags

CCSS.HSS.ID.A.4

Front

What type of interval should be used for paired samples?

Back

Paired t interval

Front

Who is credited with developing the first t-table?

Back

William Gosset

Front

What type of interval should be used for a single proportion?

Back

1 Proportion z interval

Tags

CCSS.HSS.IC.B.4

Front

What is used to estimate unknown parameters in statistics?

Back

Confidence Interval

Tags

CCSS.HSS.IC.B.4

Front

What is the purpose of a t-test?

Back

To determine if there is a significant difference between the means of two groups.

Front

What is the difference between a t-test and a z-test?

Back

A t-test is used when the sample size is small and/or the population standard deviation is unknown, while a z-test is used for larger samples with known population standard deviation.

Front

What assumptions must be met to use t procedures?

Back

The data should be approximately normally distributed, and the samples should be independent.

Tags

CCSS.HSS.ID.A.4

Front

What is the formula for a confidence interval for a mean?

Back

CI = sample mean ± (t* × (sample standard deviation / √n)) where t* is the t-score for the desired confidence level.

Tags

CCSS.HSS.IC.B.4

Front

What is the significance level in hypothesis testing?

Back

The probability of rejecting the null hypothesis when it is actually true, commonly denoted as alpha (α).