Create an example in which a difference is just barely statistically significant at a 5 .05. (Hint: Find the critical value for t, invent values for a1 and a2 and n1 and n2, and then solve for the required value of s.) Now calculate the retrospective power of this experiment.
The State of Vermont is divided into 10 Health Planning Districts, which correspond roughly to counties. The following data for 1980 represent the percentage of births of babies under 2500 grams (Y), the fertility rate for females younger than 18 or older than 34 years of age ( ), and the percentage of births to unmarried mothers ( ) for each district.17
a. Make a scatter diagram of Y and .
b. Draw on your scatter diagram (by eye) the line that appears to best fit the data
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