In order to determine whether the median distance for the X-Special golf ball exceeds the median distance for the best-selling golf ball,six golfers were selected and asked to hit each ball with their driver.The distance was recorded.The following data were observed.
The appropriate null and alternative hypotheses are:
H₀ : ₁ ≤ ₂
H₀ : ₁ > ₂

Question

In order to determine whether the median distance for the X-Special golf ball exceeds the median distance for the best-selling golf ball,six golfers were selected and asked to hit each ball with their driver.The distance was recorded.The following data were observed.

The appropriate null and alternative hypotheses are:
H₀ :

₁ ≤

₂
H₀ :

₁ >

₂

Quizplus · Accepted Answer

The null hypothesis states that the median distance for the X-Special golf ball is less than or equal to the median distance for the best-selling golf ball. The alternative hypothesis states that the median distance for the X-Special golf ball exceeds the median distance for the best-selling golf ball. This is the correct formulation for a one-tailed hypothesis test where we want to determine if one sample has a higher median than another sample. Therefore, the answer is A.

In Order to Determine Whether the Median Distance for the X-Special