Question: A sports manufacturer has developed a new golf ball with special dimples that it hopes will cause the ball to travel farther than standard golf balls. This question is examined by asking 12 golfers to hit 10 new balls and 10 standard balls. The distances traveled by the balls are measured. The following data presents the average distances in yards for the 10 shots for each of 12 golfers and the two types of balls.

Let \(\mu_{\mathrm{S}}\) be the population mean travel distance for the standard ball \(\mu_{N}\) be the population mean travel distance for the new bal1

1. Is this experiment paired design or unpaired design? Explain.
2. What should the company conclude from this experiment? You have the choice of answering the question using a confidence interval with \(95 \%\) confidence level, or a hypothesis tests with \(\alpha=.05\). Show your complete solution, step by step.

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