Question

An executive believes that a new energy drink his company developed will increase an individual's stamina....

An executive believes that a new energy drink his company developed will increase an individual's stamina. In order to test this, he selects random individuals and times how long they can run without stopping. He then instructs the individuals to drink the energy drink for two weeks. After the two weeks, he times how long they can run again without stopping. If we were to perform a hypothesis test on the difference between running time after drinking the energy drink and running time before drinking the energy drink, what would be the null and alternative hypotheses?

Select the correct answer below:

1) Null: The population average difference in running time is equal to zero.

Alternative: The population average difference in running time is greater than zero.

2) Null: The population average difference in running time is equal to zero.

Alternative: The population average difference in running time is less than zero.

3) Null: The population average difference in running time is equal to zero.

Alternative: The population average difference in running time is not equal to zero.

4) Null: The population average difference in running time is less than zero.

Alternative: The population average difference in running time is equal to zero.

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Answer #1

Answer:

1)

Null: The population average difference in running time is equal to zero.

Alternative: The population average difference in running time is greater than zero.

Explanation:

For the given test scenario, we have to test the claim whether the new energy drink improves stamina or not. We take the difference as the after minus before. The difference will be greater than zero if new energy drink improves stamina, otherwise difference will be less than or equal to zero.

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