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4 Cards in this Set

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Accuracy in t procedures Confidence interval for two-sample t statistic
A procedure when calculating a confidence interval with two samples and the sample size is small and both standard deviations are unknown.
Conditions for inference
When two samples are involved:
1. Samples are independent - (think about how the data were collected)
2. Data in each sample are independent - (Both SRSs and < 10% of population)
3. Both samples are sufficiently large - (successes and failures > 10 for both
Confidence interval for t distribution
Student's t-distribution is a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown. It plays a role in a number of widely used statistical analyses for assessing the statistical significance of the difference between two sample means, the construction of confidence intervals for the difference between two population means, and in linear regression analysis.
Confidence interval for two-sample t statistic
We use the independent samples t-test to test if two sample means are different from one another. After the t-test, confidence intervals can be constructed to estimate how large that mean difference is.