Independent random samples of professional football and basketball players gave the following information. Assume that the weight distributions are mound- shaped and symmetric. Weights (in lb) of pro football players: x1; nj = 21 244 261 255 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 271 Weights (in lb) of pro basketball players: x,; n, = 19 203 200 220 210 192 215 223 216 228 207 225 208 195 191 207 196 181 193 201 LA USE SALT (a) Use a calculator with mean and standard deviation keys to calculate x, , S,, X2, and s2. (Round your answers to four decimal places.) X , S = X2 S2 (b) Let , be the population mean for x, and let /2 be the population mean for x2. Find a 99% confidence interval for 1 - H2. (Round your answers to one decimal place.) lower limit upper limit