Do expensive golf balls travel farther than cheap ones? Suppose that you can use

Question

Do expensive golf balls travel farther than cheap ones? Suppose that you can use 50 balls of each type in an experiment to investigate this question. (a) What are the explanatory an (b) What are the treatments in your experiment? (c) How will you incorporate randomization in your experiment? (d) What variables would be important to control during this experiment? (e) Can the golfer(s) be blind in this experiment? Explain why this is important. (f) State the hypotheses you are interested in testing. (g) If the experiment provides convincing evidence that golfers have a greater 10. r experiment? ABILITY to drive the ball when using expensive balls, can we conclude that the type of ball is the cause? Explain.

Explanation / Answer

Answers

Part (a)

Explanatory variable: Price of the golf ball. ANSWER 1

Response variable: Distance achieved by the golf ball. ANSWER 2

Part (b)

Treatments: 1. Expensive golf ball and 2. Cheap golf ball ANSWER

Part (c)

Randomization is achieved by allotting golfers to the two types of balls randomly. ANSWER

Part (d)

Control variables: golfers and golf courses ANSWER

Part (e)

Golfers cannot be blind. Ideally, golfers should also be considered as treatment by converting the experiment from Completely Randomised to Randomised Block Design. ANSWER

Part (f)

Null hypothesis: H0: Mean distance achieved using expensive golf ball = Mean distance achieved using cheap golf ball

Vs

Alternative: HA: Mean distance achieved using expensive golf ball > Mean distance achieved using cheap golf ball ANSWER

Part (g)

Answer is yes if golfer effect and golf course effect have been quantified and separated from ball effect or their effects are averaged out by proper randomization.

If these factors are duly taken care of, rejection of the null hypothesis can be taken to mean that extra distance is due to the expensive ball. ANSWER

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