BIOL 3P96 Lecture Notes - Lecture 11: Null Hypothesis, Sampling Distribution, Confidence Interval

• School: Brock University
• Department: Biological Sciences
• Course: BIOL 3P96
• Professor: Mac Neil Lori

Document Summary

Biol 3p96 lecture 11: inference for a normal population. The sampling distribution for the sample mean normally distributed. We can use z-standardization to calculate probabilities for. Y is a normal distribution if y is. From real data, we rarely know y (standard error of the sample mean = standard. Y ) deviation of the sampling distribution of. We have to use an estimate of standard error: Substitution of se y leads to related quantity called student"s t: for y. Sampling distribution for t is a t-distribution. Se y is not a constant, but is variable. Varies by chance from sample to sample for y. As a result, the sampling distribution of t is wider than the standard normal distribution. The difference between the sample mean and the true mean ( adds sampling error estimated standard error. ), has a student"s t-distribution with n 1 degrees of freedom. Degrees of freedom (df) is determined by sample size minus 1.