1. We are working with simple random Model assumptions: samples of a random variable Y that has a normal distribution with known standard deviation. 2. mean of the random variable Y is a Null hypothesis: “The certain value µ0.” "The mean of the random variable Y is Alternative hypothesis: not µ0." (This is called the two-sided alternative.) 3. (the of a simple random sample Test statistic: sample mean of size n from the random variable Y). Before discussing item 4 (the mathematical theorem), we first need to: Clarify terminology Discuss sampling distributions 1. Terminology and common confusions: The Y is also called the mean of the random variable or the of Y. expected value expectation
1. Model assumptions: We are working with simple random samples of a random variable Y that has a normal distribution with known standard deviation. 2. Null hypothesis: “The mean of the random variable Y is a certain value µ0.” Alternative hypothesis: "The mean of the random variable Y is not µ0." (This is called the two-sided alternative.) 3. Test statistic: (the sample mean of a simple random sample of size n from the random variable Y). Before discussing item 4 (the mathematical theorem), we first need to: Clarify terminology Discuss sampling distributions 1. Terminology and common confusions: The mean of the random variable Y is also called the expected value or the expectation of Y.
WorkshopSlidesDayTwo2017-part1.docx