Blocking refers to the idea that the variability in a variable can be reduced by segmenting the data by some other variable. The data in the accompanying table represent the recumbent length (in centimeters) of a sample of 10 males and 10 females who are 40 months of age. Complete parts (a) through (d). Blocking refers to the idea that the variability in a variable can be reduced by segmenting the data by some other variable. The data in the accompanying table represent the recumbent length (in centimeters) of a sample of 10 males and 10 females who are 40 months of age. Complete parts (a) through (d). Males Females 104.0 102.7 93.7 100.4 98.3 102.8 86.2 98.1 90.7 95.4 94.4 100.8 97.6 96.3 100.6 105.0 103.0 106.5 100.9 114.5 (a) Determine the standard deviation of recumbent length for all 20 observations. cm (Round to two decimal places as needed.) (b) Determine the standard deviation of recumbent length for the males. .......cm (Round to two decimal places as needed.) (c) Determine the standard deviation of recumbent length for the females. ...........cm (Round to two decimal places as needed.) (d) What effect does blocking by gender have on the standard deviation of recumbent length for each gender? ...........cm (Round to two decimal places as needed.) 2, Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Car 1 Car 2 220 239 212 246 226 219 215 238 248 251 273 155 261 230 258 274 255 154 243 291 250 273 247 319 298 311 255 291 293 285 Median for Car 1 M = mi / 10 gal (Type an integer or decimal rounded to one decimal place asneeded.) Median for Car 2 Me = mi / 10 gal (Type an integer or decimal rounded to one decimal place asneeded.)