STAT 100 Lecture 7: Lecture 7
21 Apr 2016
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Can calculate percentages for values in any interval. Is the proportion of area under curve o o o. Is actually the source of the empirical rule: 68% of area lies within 1 sd of mean. 95% of area lies within 2 sd of mean. 99. 7% of area lies within 3 sd of mean. You can convert any normal density into one with a mean of 0 and a sd of 1. This is important because it allows us to standardize any normal distribution: have tables of percentiles for the standard normal that we can use to compute probabilities (table b from text) The distribution of the heights of young men is approximately normal with a mean of 70 inches and standard deviation of 2,5 inches. Z = (observation mean)/sd = (72-70)/2. 5 = 0. 8. What is the probability of randomly selecting a young man with a height less than 72 inches o o o o o o o.
