The United States Golf Association (USGA) sets performance standards for golf ba

Question

The United States Golf Association (USGA) sets performance standards for golf balls. For example, the initial velocity of the ball may not exceed 250 feet per second when measured by an apparatus approved by the USGA. Suppose a manufacturer introduces a new kind of ball and provides a sample for testing. Based on the mean speed in the test, the USGA determines a p-value of 0.34. Which of the following is a correct interpretation of this p-value? A. 34% of all tests of this new kind of ball will have speeds greater than 250 feet per second. O B. There's a 34% chance that the speed of any test of this new kind of ball will exceed 250 feet per second. ° C. If the mean speed of this new kind of ball is not greater than 250 feet per second, 34% of all random samples tested will have mean speeds as high or O D. o E. higher than the mean speed in this sample. 34% of all random samples of this new kind of ball have mean speeds greater than 250 feet per second. There's a 34% chance that the mean speed of this new kind of ball will exceed 250 feet per second.

Explanation / Answer

Interpretation:

This means that there’s a 34% chance that the result of test was what it was due unique to chance. Since there’s a high probability that chance is the factor causing the result of the test, we shouldn’t reject it. Usually we reject if p is less than 0.05.. If in fact this ball meets the velocity standard, then 34% of all samples of this size would have mean speeds at least as high as was recorded in this sample.

C option

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