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- 1. Chapter 3 The Normal Distributions
- 26. Example: Women’s heights mean µ = 64.5" standard deviation = 2.5" proportion = area under curve=0.25 Women’s heights follow the N (64.5 ″ ,2.5 ″ ) distribution. What is the 25 th percentile for women’s heights?
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- Now, this will become more apparent later on in the class, but the cool thing about standardizing is that it allows you to compare across different scales. Remember we started out the day using gestation time as an example. Women who are malnourished risk have premature babies, and studies are being done to see whether different diet and vitamin supplements work better. Let’s say the goal is to get them to carry the baby at least 240 days (8 months). For treatment 1, say vitamins only, get normal distribution with mean 250, sd is 20. Treatment 2 is vitamins plus a meals on wheels program. Mean is 266, sd 15 . The mean is increased, but the spread has changed too. You can eyeball this and see that more of the women in treatment two are above our goal of 240 days, but how much of an improvement is it?