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# Lecture10 - STAT 350 LECTURE 10 Chapter 5(5.6 Describing...

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STAT 350 L ECTURE 10 Chapter 5 (5.6) Describing Sample Distributions

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A NNOUNCEMENT Wednesday: Lab 2 (meet @ SC231) Instruction & Data are on the blackboard Due Wednesday, Feb 23 Homework #3 due at the beginning of the lab Today’s Topics: Sampling Distribution of a sample mean Central Limit Theorem
S AMPLING D ISTRIBUTION OF THE MEAN Also known as the sampling distribution of The probability distribution that describes the behavior of the mean ( ) in repeated random samples from a population or process. the sampling distribution of has its own unique mean and standard deviation

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M EAN AND S TANDARD D EVIATION OF THE S AMPLING D ISTRIBUTION OF Let be the sample mean of a random sample from a population with mean and standard deviation , then The above two equations hold regardless of the particular form of the population distribution
E XAMPLE ( EX 46 ON PAGE 237) The inside diameter of a randomly selected piston ring is a random variable with a mean of 12 cm and a standard deviation of 0.04 cm. a)

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Lecture10 - STAT 350 LECTURE 10 Chapter 5(5.6 Describing...

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