STAT 2040 Chapter Notes - Chapter 10: Simple Random Sample, Normal Distribution, Confidence Interval

• School: University of Guelph
• Department: Statistics
• Course: STAT 2040
• Professor: Lorna Deeth

Document Summary

In this chapter, we will learn inference procedures for comparing the means of two populations, as opposed to just one: analyzing two populations is often more interesting and informative than just one-sample procedures. For example, we could investigate things like: The sampling distribution of the difference in sample means. This implies the sampling distribution of (cid:2869) (cid:2870) is normal: if we are sampling from a normally distributed population, then the sampling distribution of the sample mean is normal. Also, linear combinations of normally distributed independent random variables are normally distributed. independent random sample of size n2 from a normally distributed population with mean 2 and standard deviation 2. Week 8: the mean of the sampling distribution of (cid:2869) (cid:2870) is: (cid:1831)(cid:4666) (cid:2869) (cid:2870)(cid:4667)=(cid:1831)(cid:4666) (cid:2869)(cid:4667) (cid:1831)(cid:4666) (cid:2870)(cid:4667)=(cid:2869) (cid:2870: we say that (cid:2869) (cid:2870) is an unbiased estimator of 1- 2. Since the samples are independent, the variance of the sampling distribution of (cid:2869) (cid:2870) is: