Reconsider the coefficient of restitution data in Exercise 10-34. Do the data suggest that the standard deviation

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Reconsider the coefficient of restitution data in Exercise 10-34. Do the data suggest that the standard deviation is the same for both brands of drivers (use α = 0.05)? Explain how to answer this question with a confidence interval on σ1/σ2.


Exercise 10-34

The €œspring-like effect€ in a golf club could be determined by measuring the coefficient of restitution (the ratio of the outbound velocity to the inbound velocity of a golf ball fired at the clubhead). Twelve randomly selected drivers produced by two clubmakers are tested and the coefficient of restitution measured. The data follow:

Club 1: 0.8406, 0.8104, 0.8234, 0.8198, 0.8235, 0.8562, 0.8123, 0.7976, 0.8184, 0.8265, 0.7773, 0.7871

Club 2: 0.8305, 0.7905, 0.8352, 0.8380, 0.8145, 0.8465, 0.8244, 0.8014, 0.8309, 0.8405, 0.8256, 0.8476

Is there evidence that coefficient of restitution is approximately normally distributed? Is an assumption of equal variances justified?

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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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