Fat Content of Candy

Determine the mean total fat in candy bars and non-bar candies.
Problem

The United States Department of Agriculture (USDA) and the Department of Health and Human Service (HHS) have suggested that a daily diet should consist of an appropriate number of calories (among other things), of which 30% or fewer should be calories from fat. For adults consuming 2000 calories per day, this works out to 65 grams of fat or less. A sample of various candy bars and non-bar candies (such as M&Ms, Skittles, etc.) was collected, and nutritional facts from each candy were recorded, including total fat and saturated fat (measured in grams).

Determine the 95% confidence interval for the mean total fat m for candy bars and non-bar candies. Also identify the estimate and the standard error of the estimate, and interpret the interval.