Exercise 1 A nutritionist working for the United States Department of Agriculture (USDA) randomly selected three cartons of eggs from all of the available cartons of standard large eggs at a neighborhood grocery store. Each egg in the randomly selected cartons had their nutritional content analyzed. The data provide here are the amounts of milligrams of cholesterol in each of the sampled eggs. 186, 188, 179, 180, 192, 186, 183, 177, 184, 178, 191, 174, 189, 176, 190, 188, 196, 187, 184, 184, 192, 194, 198, 183, 183, 181, 187, 190, 186, 176, 183, 185, 191, 180, 184, 182 Test the validity of the claim, at the 0.01 level of significance, that the mean amount of cholesterol in a standard large egg is under 190 mg.