heights (in inches) of men listed in Data Set 1 in Appendix B have a distribution that is approximately normal, so it appears that those heights are from a normally distributed population. a.If 2 inches is added to each height, are the new heights also normally distributed? b.If each height is converted from inches to centimeters, are the heights in centimeters also normally distributed? c.Are the logarithms of normally distributed heights also normally distributed?

SE(X) measures how close the sample AVG is likely to be to the true population AVG ● What’s the problem here –SE(X) depends on population SD –we don’t know population SD ● How could you approximate the populaUse() ̂ (called “hat”) means estimate or predicted () () = √ Confidence Interval (CI): a range of values (%) that catches the average/mean of the population Margin of Error Margin of Error Interpretation of Confidence Interval: __% of all samples will give an interval that captures the true mean concentration of the population; the true population avg. is within the Confidence Interval. Ex: I am 95% confident that is between 40 & 60. The higher the %, the wider the CI. (99% has a wider range than 90%) ± % Percents/proportions are a special case of averages where all numbers in the original pop. are either 0 or 1 For percents, when we use a box model to simulate drawing from a population, the box must be a 0-1 box. o pop. avg (the avg of the box) = pop. proportion p o sample avg (the average of draws) = sample proport