An experiment was conducted to compare two diets A and B designed for weight reduction. Two groups of 50 overweight dieters each were randomly selected. One group was placed on diet A and the other on diet B, and their weight losses were recorded over a 30-day period. The means and standard deviations of the weight-loss measurements for the two groups are shown in the table. 
Find a 95% confidence interval for the difference in mean weight loss for the two diets.
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Interpret the interval.
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Definitions:
Carboxylation
A chemical reaction that introduces a carboxyl group (-COOH) into a molecule.
Grignard Reagent
An organomagnesium compound used in organic chemistry for carbon-carbon bond formation, represented as RMgX where R is an alkyl or aryl group and X is a halogen.
Organic Halide
An organic compound containing one or more halogen atoms (fluorine, chlorine, bromine, or iodine) covalently bonded to carbon.
Carboxylation
The chemical process of adding a carboxyl group (-COOH) to a molecule, often important in biosynthetic pathways.
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