Final answer:
The question involves using Nutrition Facts labels to solve problems regarding probabilities, means, confidence intervals, and their interpretation in a real-world context related to health and nutrition.
Step-by-step explanation:
The question seems to be related to interpreting information on Nutrition Facts labels and applying mathematical concepts like probabilities, calculating mean, and constructing confidence intervals. Specifically, in part a, it appears that students are expected to find an interval, while in part b, students are tasked with calculating the probability that the percentage of fat calories a person consumes is more than 40%, including graphing and shading the relevant area on a graph.
Part c involves recording grams of fat from different brands and calculating the mean to see if it falls within a specific interval. Part d asks for an explanation of what a 95% confidence interval means in the context of a study. By applying the principles of statistics to the nutritional content from labels, students are able to make inferences about dietary habits and the health implications of food choices.