Many consumers pay careful attention to stated nutritionalcontents on packaged foods when making purchases, so it isimportant that the information on packages be accurate. Thedistribution of calorie content has been shown to be approximatelynormally distributed. A random sample of 12 frozen dinners of acertain type was selected and the calorie content of each one wasdetermined to be 255, 244, 239, 242, 265, 245, 259, 248, 225, 226,251, and 232. (a) Determine the sample mean and sample standarddeviation for these 12 randomly selected frozen dinners. (b) Thestated mean calorie content on the box is 240. Construct anappropriate test to see if the actual mean content differs from thestated value at an ? = 0.05 significance level. Do not use theT-test feature of your calculator.