Many consumers pay attention to stated nutritional contents on packaged foods when making purchases. A random sample of frozen dinners of a certain type was selected and the calorie content of each one was determined. Below are the resulting observations. 255 244 239 242 265 245 259 248 225 226 251 233 a) Find the mean, median and standard deviation. b) Find Q1, Q3, the interquartile range. Construct a boxplot. Comment on the distribution (symmetric or not, do you have outliers or not) c) Construct a 99% confidence interval for the mean calorie content. Please state and check assumptions for the construction of the confidence interval.