VCU STAT 210  Lecture31 (84 pages)
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Lecture31
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 84
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 Virginia Commonwealth University
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 Stat 210  Basic Practice of Statistics
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STAT 210 Lecture 31 Sampling Distributions of the Sample Mean X November 8 2017 Practice Problems Sailboat Pages 220 through 230 Relevant problems VIII 1 through VIII 6 Recommended problems VIII 5 and VIII 6 Hummingbird Pages 250 through 260 Relevant problems IX 1 through IX 6 Recommended problems IX 5 and IX 6 Additional Reading and Examples Sailboat Read pages 213 through 218 Pay particular attention to page 213 Hummingbird Read pages 243 through 248 Pay particular attention to page 243 Top Hat 2 Motivating Example Students often ask questions about the average score on the STAT 210 final exam and other related questions We will return to this problem and describe the sampling distribution of the mean grade on the STAT 210 final exam for a simple random sample of 49 students Statistical Inference Statistical inference involves using statistics computed from sample data to make statements about unknown population parameters In this chapter the parameter of interest is the population mean m We are assuming that data for the entire population is not known and hence m is unknown and hence statistical inferences in the form of confidence intervals and statistical tests will need to be done Statistical Inference Statistical inference involves using statistics computed from sample data to make statements about unknown population parameters When making statistical inferences the first step is to identify the population of interest and the specific parameter of interest Consider the following three examples Example 1 Of interest is to estimate the mean age of all students at this university Example 1 Of interest is to estimate the mean age of all students at this university In this situation the population is all students at this university and the parameter of interest is m the mean age of all students at this university Example 2 It is conjectured that the mean cost of all women s swimwear purchased in 2009 was 60 and of interest is to test this conjecture versus the alternative that the mean cost of all women s swimwear purchased in 2009 was actually greater than 60 Example 2 It is conjectured that the mean cost of all women s swimwear purchased in 2009 was 60 and of interest is to test this conjecture versus the alternative that the mean cost of all women s swimwear purchased in 2009 was actually greater than 60 In this situation the population consists of all women s swimwear purchased in 2009 and the parameter of interest is m the mean cost of all women s swimwear purchased in 2009 Example 3 General Motors advertises that the 2010 Chevy Equinox averages 32 miles per gallon when driven on the highway Of interest is to test this claim versus the alternative that the mean miles per gallon when driven on the highway for all 2010 Chevy Equinox vehicles is different from 32 miles per gallon Example 3 General Motors advertises that the 2010 Chevy Equinox averages 32 miles per gallon when driven on the
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