You are casting ‘Survivor 25: Christmas at the Mall’ and you want people who are

Question

You are casting ‘Survivor 25: Christmas at the Mall’ and you want people who are high risk-takers. You are down to two candidates, ‘Bambi’ (X1), a 20 year old woman; and ‘Marion’ (X2), a 40 year old woman. You give them the RISK-TAKING TEST and Bambi scores 120 while Marion scores 110. Since you had taken this class, you know better than to just go by raw scores and so you read the test booklet and find out that the mean score (M1) for 20 year old women was 90, with a 1 of 20, while for 40 year old women, M2=82 and 2=24. Based strictly on their standardized test scores, which woman should you book for the show and why?

Explanation / Answer

Ans:

Calculate the standardized test score z:

z=(x-mean)/std dev

For Bambi X1:

z=(120-90)/20=30/20=1.5

For Marion X2:

z=(110-82)/24=1.17

As,z score for Bambi is larger than Marion ,should book Bambi.

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