Mathematics

Question

A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. The balls are then placed in a bag and shaken. A golf pro then selects a ball and hits it. The distance the ball travels is then measured. The bag is shaken again, and the golf pro selects another ball to hit. She continues this procedure until all 80 of the golf balls are hit.


Has the principle of comparison been addressed in this experimental design?


Yes, because the balls are randomly selected, the distances of the new ball can be compared to the distances of the original ball.

Yes, because the original ball type is included in this experiment, the distances the different balls travel can be accurately compared.

No, because a placebo ball was

1 Answer

  • The design of the experiment is such that the knowledge of the type of

    ball being hit does nit influence the outcome of the experiment.

    • The correct option is; Yes, because the balls are randomly selected, the distance of the new ball can be compared to the distances of the original ball.

    Reasons:

    The aim of the experiment is to determine if the new type of ball travels farther than the company's previous golf ball.

    The design of the experiment is as follows;

    Number of the previous golf ball in the experiment = 40

    Number of the new type of golf ball used in the experiment = 40

    The order in which the ball are selected from the bag = Randomly

    The subject of the experiment = A golf pro

    The sample size of each sample is larger than 30, and therefore, the

    distribution can be taken as approximately normal.

    The principle of comparison has been addressed in the experiment

    because the golf pro that is subject to the treatment will react more

    accurately to the change in the variable, given that, the previous golf ball

    serves as a placebo in the study and after all the balls are hit, the distance

    travelled by each set can be determined.

    The correct option is therefore;

    • Yes, because the balls are randomly selected, the distance of the new ball can be compared to the distances of the original ball.

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