The engineer, an avid golfer herself, is very excited about the prospect that she may have developed an innovation that could revolutionize the game of golf. Old Luke says he will be happy only if the new ball revolutionizes his company's net profits.

Ted has examined the frequency distributions of the data that you carried-out, but he would like to have some statistical summaries as well.

(a) For the 25 drives made with the new balls, calculate statistics that you think would be appropriate in describing the central tendency and the dispersion of the data.

(b) Repeat part (a) for the 25 drives made with the conventional golf balls.

(c) How do they compare?

NewBall ConBall 267.5 241.8 247.2 264.2 264.3 267.9 248.3 255.1 237.4 237.3 224.4 240.3 265.1 266.8 223.7 253.2 239.9 247.9 243.6 251.6 260.4 215.8 233.5 257.6 253.6 233.2 269.6 226.4 278.7 234.5 232.7 242.7 256.5 201.0 226.9 234.7 249.2 218.5 271.4 201.6 258.8 215.9 232.3 229.0 294.1 244.1 252.8 256.3 256.3 213.5