1. Yankee Candle company has developed a new candle. The engineer in charge claims that the new candle will burn longer than the company's old candles. The number of minutes 16 randomly selected new candles burned: 245 323 264 283 241 291 203 266 248 257 237 316 217 220 196 306 The number on minutes 16 randomly selected old candles burned: 162 214 208 198 283 268 293 237 287 273 224 184 221 241 301 255 a) Check the conditions/assumption necessary to use the normal model to estimate a confidence interval. b) Find a 92% Confidence Interval for the difference in the mean burn time for New candles and Old candles (New -Old). Give the name of the CI you used and state the calculator inputs. c) Interpret the confidence interval (We are_% confident ...) d) Statistically, can you state there is a difference between the two means? YES or NO if Yes, which group was less than or more than the other and by how much. if No, why not