One popula on mean = x̂̄Population mean of paired differences = đDifference in two popula on means = x̂̄₁ - x̄₂What are paired differences?data that are formed by taking the differences in matched pairsWhat is the parameter of interest when you take paired differences?The population mean for paired differencesWhat is the population mean for paired differences?The mean we would get if we took differences for the entire population of possible pairs.Are pairs of different populations taken as matched or unmatched pairs?they can be either. Matched pairs (like brother/sister) are dependent samples, unmatched pairs (random boys/girls) are independent samplesWhat is the parameter of interest with quantitative data from independent samples?the difference in two population meansEstimating the Proportion falling into a category of a categorical variable 2 examples and what symbols for population estimate and for sample estimatePopulation parameter = pSample esmate = p̂̂What proportion of American adults believe there is extraterrestrial life?What proportion of opposite sex British marriages is the wife taller than the husband?Estimating the Difference between Two Population Proportions falling into a Category of a Categorical Variable.Population parameter symbols and equationsSample estimate symbols and equations2 examplesPopulation parameter = p₁ - p₂ proportions in Population 1 and Population 2Sample Esmate = p̂̂₁ - p̂₂ difference between two sample proporonsHow much difference is there between proportions who would quit smoking if taking the anti-depressant buproprion (Zyban) versus wearing a nicotine patch?how much difference is there between men who snore and men who don't snore in regard to the proportion with heart disease?Estimating the mean of a quantitative variablePopulation parameter symbolsample estimate symbol2 examplesPopulation parameter = µSample esmate = x̂̄What is the mean time that college students watch TV per day?What is the mean pulse rate of women?estimating the Mean of Paired Differences for Quantitative Variables;Population parameter symbolSample estimate symbol2 examplesPaired Differences for Quantitative Variables;Population parameter symbolSample estimate symbol2 examplesPopulation parameter = µd = STATS Page 6

Population parameter = µd = population mean of differences in the two measurementsSample estimate = đ = mean of the differences in the two measurementsWhat is the mean difference in weights for freshmen at the beginning and end of the first semester?What is the mean difference in age between husbands and wives in Britain?STATS Page 7

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- Fall '19
- Statistics, Statistical hypothesis testing