If a researcher wanted to know the mean weight (the mean is the sum of all the measurements divided by the number of measurements) of women in the U.S., the weight of every woman would have to be measured and then the mean weight calculated, an impossible task. Instead, researchers find a representative sample of women and find the mean weight of the sample. Because the entire population of women is not used, there is a possibility that the calculated mean weight is not the true mean weight. For one study, suppose researchers used the formula

Question

If a researcher wanted to know the mean weight (the mean is the sum of all the measurements divided by the number of measurements) of women in the U.S., the weight of every woman would have to be measured and then the mean weight calculated, an impossible task. Instead, researchers find a representative sample of women and find the mean weight of the sample. Because the entire population of women is not used, there is a possibility that the calculated mean weight is not the true mean weight. For one study, suppose researchers used the formula  
168 − ì 
1.68 
 
 < 2.33,where ì is the true mean weight, in pounds, of all women, to be 98% sure of the range of values for the true mean weight. Using this inequality, what would be the range of mean weights of women in the U.S.? Round to the nearest tenth of a pound.
_____ lb < ì < _____ lb