Psychologists who study perceptual/motor tasks often refer to something called the “Speed/Accuracy Tradeoff” or SAT. In many human responses we can respond very quickly and sacrifice response accuracy, or we can respond with precision and accuracy and sacrifice speed. Sports psychologists have found that both novice and skilled golfers demonstrate a SAT in various aspects of the game. Ask any golfer about driving the ball and on top of getting a discussion about club head speed and fairways hit, you’ll likely hear some version of the old saying “there’s a lot of big hitters in the woods.” Hitting it long is great, but lots of long hitters wind up way off line. Some of these big hitters are well known because they’ve won, but lots of the names on the list of the top 25 drivers of the golf ball are unknowns—they can drive the ball a country mile, but they don’t win the big tournaments, perhaps because they have to hit their second shot from the deep woods.Suppose we select a random sample of 30 golfers and measure both the distance they can drive the ball (a variable related to speed, in particular to club head speed at the point of impact with the ball) and average accuracy (measured as the ratio of fairways hit divided by total number of attempts). Is there a relationship between speed at impact and accuracy?What test should you use and why?

Question

Psychologists who study perceptual/motor tasks often refer to something called the “Speed/Accuracy Tradeoff” or SAT.  In many human responses we can respond very quickly and sacrifice response accuracy, or we can respond with precision and accuracy and sacrifice speed. Sports psychologists have found that both novice and skilled golfers demonstrate a SAT  in various aspects of the game.  Ask any golfer about driving the ball and on top of getting a discussion about club head speed and fairways hit, you’ll likely hear some version of the old saying “there’s a lot of big hitters in the woods.” Hitting it long is great, but lots of long hitters wind up way off line.  Some of these big hitters are well known because they’ve won, but lots of the names on the list of the top 25 drivers of the golf ball are unknowns—they can drive the ball a country mile, but they don’t win the big tournaments, perhaps because they have to hit their second shot from the deep woods.Suppose we select a random sample of 30 golfers and measure both the distance they can drive the ball (a variable related to speed, in particular to club head speed at the point of impact with the ball) and average accuracy (measured as the ratio of fairways hit divided by total number of attempts). Is there a relationship between speed at impact and accuracy?What test should you use and why?

antantil0 · Accepted Answer

In this scenario, the researcher is supposed to test whether there is a relationship between speed at impact and accuracy.Therefore, the appropriate test to use is “Significance test for correlation coefficient”.

Psychologists who study perceptual/motor tasks often refer to something called the “Speed/Accuracy T

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