Statistics324_HW5

# Statistics324_HW5 - normal probability plot has heavy tails...

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Statistics 324 – Discussion 311 w/ Jack Homework 5 – Victoria Yakovleva 1. SAMPLE SIZE = 5 mean(theo) [1] -0.001448658 stand <- (mean(rnorm(n, m = 100, sd = sd))-(100))/(sd/sqrt(n)) stand [1] 0.5469978 This standardized sample mean appears to have a normal distribution.

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SAMPLE SIZE = 25 mean(theo) [1] 0.001792535 stand [1] 0.4413131 This standardized sample mean appears to have a normal distribution even more, which makes sense as the sample size gets bigger. 2. SAMPLE SIZE = 5 This studentized form of the sample mean does not appear to have a normal distribution. The

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Unformatted text preview: normal probability plot has heavy tails and the density plot isn’t evenly distributed around 0. SAMPLE SIZE = 25 This studentized form of the sample mean does appear to have a normal distribution. 3. df = 4 df=24 4. mean<-mean(react) mean [1] -0.7964072 sd<-sd(react) sd [1] 1.877763 The data set doesn’t look normally distributed. The mean does somewhat different from zero. (mean(react)-0)/(sd(react)/sqrt(335)) [1] -7.762772...
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