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A golf instructor is interested in determining if her new technique for improving players’ golf scores is effective. She takes four (4) new students. She records their 18-hole scores before learning the technique and then after having taken her class. She conducts a hypothesis test. Player 1 Player 2 Player 3 Player 4 Mean score before class 83 78 93 87 Mean score after class 80 80 86 86 This is which of the following and Why? 1. a test of two independent means. 2. a test of two proportions. 3. a test of a single mean. 4. a test of a single proportion.

Sagot :

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Answer:

A test of two independent means.

Step-by-step explanation:

The test above is comparing the two independent mean scores (mean before taking her class ; μ1 and mean score after taking her class, μ2. This two mean values are tested to ascertain if there exist any statistical difference between them. This differs from the proportion which is ecekuared by the ratio of success or failure. The single mean and single proportion test only has one group which its mean or proportion is tested.

The null and alternative hypothesis for two independent sample means may be expressed thus :

H0 : μ1 = μ2

Alternative hypothesis

H1 : μ1 ≠ μ2

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