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Unformatted text preview: 1 CHAPTER 6 Sampling Distributions Homework: 1abcd,3acd,9,15,19,25,29,33,43 Sec 6.0: Introduction • Parameter The "unknown" numerical values that is used to describe the properties of a population. • Sample Statistics The computed numerical values from the measurements in a sample. 2 Sec 6.1: What is a Sampling Distribution? • Sampling Error The error results from using a sample instead of censusing the population to estimate a population quantity. • Sampling Distributions The sample statistics vary from one sample to another. Therefore, there is a distribution function associated with each sampling statistic. This is called the sampling distribution. 3 Example 6.1: The three most popular numbers which were picked up by a group of students are 7, 17, and 24. Assume that the population mean and standard deviation are 16 and 8, respectively. (a). List all the possible samples of two numbers that can be obtained from this three numbers. (b). Find the sample mean for each sample. (c). Compute the sample error for each sample. (Solutions in the note page) 4 Example 6.2 (Basic) The population of average points per game (ppg) for the top five players of Orlando Magic is presented in the following table. (First eight games in 1996 playoff) Player ppg O'Neal(O) 25.3 Anderson(A) 16.4 Grant(G) 16.9 Hardaway(H) 22.3 Scott(S) 13.4 (a) Find the sampling distribution of the mean of the "ppg" of three players from the population of five players. (Part (a) solution is in note page) 5 Example 6.2 Continue: (b) Compute the mean and standard deviation of the sample mean. <Solution to part (b)>: Note: If you forget how to do it, you need to review Chapter 4....
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This note was uploaded on 08/30/2011 for the course STA 2023 taught by Professor Bagwhandee during the Fall '07 term at University of Central Florida.
 Fall '07
 Bagwhandee
 Statistics

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