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In: Statistics and Probability

A person wants to compare two participant’s scores from two different trust tests. Each participant comes...

A person wants to compare two participant’s scores from two different trust tests. Each participant comes from a population in which a different trust tests was administered to each group. The two Trust Tests are on different scales to measure participant trust in others. For both Trust Tests, higher values correspond to more trust in others.

Group 1 (N = 15) was given Trust Test #1. Group 1's population has the following parameters: μ = 25; σ = 5.

Group 2 (N = 15) was given Trust Test #2.  Group 2's population has the following μ = 210; σ = 20.

Participant 1 from Group 1 has a trust score of 35.

Participant 2 from Group 2 has a trust score of 225.

Which participant has more trust in others (the higher trust score)?

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A person wants to compare two participant’s scores from two different trust tests. Each participant comes from a population in which a different trust tests was administered to each group. The two Trust Tests are on different scales to measure participant trust in others. For both Trust Tests, higher values correspond to more trust in others.

Group 1 (N = 15) was given Trust Test #1. Group 1's population has the following parameters: μ = 25; σ = 5.

Group 2 (N = 15) was given Trust Test #2.  Group 2's population has the following μ = 210; σ = 20.

Participant 1 from Group 1 has a trust score of 35.

Participant 2 from Group 2 has a trust score of 225.

Which participant has more trust in others (the higher trust score)?

We calculate z score for both group. Higher the z score, participant has more trust in others .

Z score for group 1 , z = (35-25)/5 = 2

Z score for Group 2 , z = (225-210)/20 = 0.75

Group 1 has largest z score. Therefore Participant 1 from Group 1 has more trust in others.

orchestra answered 1 year ago
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