chap13_2010

chap13_2010 - Chapter 13 Sampling Distributions Sampling...

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Unformatted text preview: Chapter 13 Sampling Distributions Sampling Distributions • Summary measures such as , s, R, or proportion that is calculated for sample data is called a sample statistic. • To obtain the sampling distribution of a statistic, one must take all possible samples of a given size and calculate the value of the statistic of interest for each sample. x Example 13.1 • A class has 6 students that have just purchased new laptops. They paid the following: – $1800 – $2100 – $2400 – $1200 – $2100 – $2100 Let x denote the cost of computer. μ = $1950.00 σ = $377.49 N=6 What if we sample 3 students at random? What could we expect? Sample R s 1 1800 2100 2400 2100 600 300.00 2 1800 2100 1200 1700 900 458.26 3 1800 2100 2100 2000 300 173.21 4 1800 2100 2100 2000 300 173.21 5 1800 2400 1200 1800 1200 600.00 6 1800 2400 2100 2100 600 300.00 7 1800 2400 2100 2100 600 300.00 8 1800 1200 2100 1700 900 458.26 9 1800 1200 2100 1700 900 458.26 10 1800 2100 2100 2000 300 173.21 11 2100 2400 1200 1900 1200 624.50 12 2100 2400 2100 2200 300 173.21 13 2100 2400 2100 2200 300 173.21 14 2100 1200 2100 1800 900 519.62 15 2100 1200 2100 1800 900 519.62 16 2100 2100 2100 2100 0.00 17 2400 1200 2100 1900 1200 624.50 18 2400 1200 2100 1900 1200 624.50 19 2400 2100 2100 2200 300 173.21 20 1200 2100 2100 1800 900 519.62 Mean 1950 690 367.32 Std. Dev. Pop. 168.82 368.65 189.94 Sigma 377.49 292.40 407.56 398.69 X 2 ˆ d R = σ n X σ σ = ˆ 4 ˆ c s = σ Sampling Errors • Different samples selected from the same population will give different results because they contain different...
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This note was uploaded on 12/03/2011 for the course EIN 5226 taught by Professor Staff during the Fall '11 term at FIU.

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chap13_2010 - Chapter 13 Sampling Distributions Sampling...

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