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Normal Distribution

Normal Distribution. Note: other distributions hypergoemetric - sampling with replacement beta bimodal VanGenuchten Normal Probability Density Function pdf:. Checking for normality IQR/s =~ 1.3 Normal probability plot Chi-square distribution. Sampling Distributions CHKOUT.XLS

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Normal Distribution

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  1. Normal Distribution • Note: other distributions • hypergoemetric - sampling with replacement • beta • bimodal • VanGenuchten • Normal Probability Density Function • pdf:

  2. Checking for normality • IQR/s =~ 1.3 • Normal probability plot • Chi-square distribution

  3. Sampling Distributions • CHKOUT.XLS • 500 data points • m = 50.1 , s = 49.1 • take a random sample of 5 • compute sample mean • repeat 100 times • now have a distribution of 100 sample means • If we have a large sample size, the distribution of sample means: • is approximately normal, regardless of original distribution • mean of sample means = mean of population • standard deviation of sample means = population standard deviation / n

  4. Example 6.16 • Before: LCN m = 60, s = 10 • take random sample of 40 concrete blocks • a. if no different after… • b. If after is no different, find the probability that the sample mean exceeds 64 • c. if sample mean = 73, is new better than old?

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