A sports equipment manufacturer has developed a new reasonably priced golf ball that it hopes will allow average golfers to hit the ball straighter. A concern is that this new technology might impact on the distance that th ball travels. To compare distances, Sarah, a company researcher, conducts an experiment where 20 current balls and 20 new balls are subjected to distance tests, using a mechanical hitting device for consistency. The results of the tests, with distances given to the nearest metre, are giver in Table 1. Table 1 Distances travelled by golf balls Current golf ball New golf ball 292 299 291 292 293 285 295 288 280 283 305 273 280 286 291 311 283 308 296 292 292 294 309 281 311 286 302 302 294 296 297 303 287 298 282 293 300 290 297 284

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A sports equipment manufacturer has developed a new reasonably priced
golf ball that it hopes will allow average golfers to hit the ball straighter.
A concern is that this new technology might impact on the distance that the
ball travels. To compare distances, Sarah, a company researcher, conducts
an experiment where 20 current balls and 20 new balls are subjected to
distance tests, using a mechanical hitting device for consistency.
The results of the tests, with distances given to the nearest metre, are given
in Table 1.
Table 1 Distances travelled by golf balls
Current golf ball
New golf ball
299
292
292
291
293
285
295
288
283
273
280
305
280
286
311
308
292
291
283
296
292
294
309
281
311
286
302
302
294
296
297
303
287
298
282
293
300
290
297
284
Transcribed Image Text:A sports equipment manufacturer has developed a new reasonably priced golf ball that it hopes will allow average golfers to hit the ball straighter. A concern is that this new technology might impact on the distance that the ball travels. To compare distances, Sarah, a company researcher, conducts an experiment where 20 current balls and 20 new balls are subjected to distance tests, using a mechanical hitting device for consistency. The results of the tests, with distances given to the nearest metre, are given in Table 1. Table 1 Distances travelled by golf balls Current golf ball New golf ball 299 292 292 291 293 285 295 288 283 273 280 305 280 286 311 308 292 291 283 296 292 294 309 281 311 286 302 302 294 296 297 303 287 298 282 293 300 290 297 284
(d) Sarah realises that the top boxplot represents the data for the current
golf balls, and the bottom boxplot represents the data for the new golf
balls. She tries to interpret what the boxplots are telling her by making
the statements below. For each one, state whether you agree or disagree
with her interpretation, and explain why you think that she is correct or
incorrect.
(i) "On average, the distance travelled by the new golf balls was less
than the distance travelled by the current ones.'
(ii) There was less variation in the distances travelled by the current
golf balls than in the distances travelled by the new golf balls.'
(iii) 'More than half of the current golf balls travelled a distance greater
than the median.'
Transcribed Image Text:(d) Sarah realises that the top boxplot represents the data for the current golf balls, and the bottom boxplot represents the data for the new golf balls. She tries to interpret what the boxplots are telling her by making the statements below. For each one, state whether you agree or disagree with her interpretation, and explain why you think that she is correct or incorrect. (i) "On average, the distance travelled by the new golf balls was less than the distance travelled by the current ones.' (ii) There was less variation in the distances travelled by the current golf balls than in the distances travelled by the new golf balls.' (iii) 'More than half of the current golf balls travelled a distance greater than the median.'
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