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A Coach Is Deciding on Whether to Buy Stopwatches from Company

Question 45

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A coach is deciding on whether to buy stopwatches from company A or company B. A test was set up to see how many seconds each stopwatch was off in a precise 10-minute test period. For samples of watches from companies A and B, the following information on stopwatch errors was found.  Company A  Company B  Sample size 58 Sample mean (seconds) .18.15 Sample variance .31.1\begin{array}{lcc} & \text { Company A } & \text { Company B } \\\text { Sample size } & 5 & 8 \\\text { Sample mean (seconds) } & .18 & .15 \\\text { Sample variance } & .3 & 1.1\end{array} Test the hypothesis of equal variances using a .05 level of significance. Be sure to state the null and alternative hypotheses being tested and the final conclusions of the test.

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