A Amateur Golfer Wishes to Determine If There Is a Difference

question 27

True/False

A amateur golfer wishes to determine if there is a difference between the drive distances of her two favorite drivers. (A driver is a specialized club for driving the golf ball down range.
She hits fourteen balls with driver A and 10 balls with driver B. The The drive distances (in yards) for the trials are show below
$\text { Driver A }$
$\begin{array}{lllllll}\hline 265 & 278 & 299 & 314 & 243 & 248 & 275 \\\hline 276 & 265 & 266 & 277 & 248 & 276 & 282 \\\hline\end{array}$

$\begin{array}{lllll}{\text { Driver B }} \\\hline 233 & 220 & 217 & 239 & 235 \\\hline 245 & 261 & 194 & 272 & 233 \\\hline\end{array}$
Assume that the populations are approximately normal. Can you conclude that there is a difference in the mean drive distances for the two drivers? Use the $\alpha = 0.05$ level of significance.

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