Question

Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population parameter(s) of interest and the null and alternative hypotheses. Testing 500 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left. For this question, define μRμR to be the average reaction time of their right hands for the right-handed participants and μLμL to be the average reaction time of their left hands.

Answer 1

Yes, The analysis involves a statistical test.

The hypothesis are
`H_0: \mu_R = \mu_L,\ and\ H_A: \mu_R < u_L`

Explanation:

Consider the provided information.

Testing 500 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, The above analysis involves a statistical test.

Where claim is right hand reacts faster than the left hand.

If right hand reacts faster that means the reaction time of right hand should be smaller than the reaction time of left hand.

Let
`\mu_R` to be the average reaction time of their right hands for the right-handed participants and
`\mu_L` to be the average reaction time of their left hands.

Therefore, the hypothesis are
`H_0: \mu_R = \mu_L,\ and\ H_A: \mu_R < u_L`