Carty Patterson, then only 16 years old, won the gold medal in all-around gymnas

Question

Carty Patterson, then only 16 years old, won the gold medal in all-around gymnastics at the 2004 Summer Olympics in Athens, Greece. A competitor's total score is determined by adding the scores for four events: vault, parallel bars, balance beam, and floor exercise. Suppose we know that the eventual silver medalist, Russia's Svetlana Khorkina, earned a total score of 38.211 (her actual total in Athens) Suppose also that Carly's scores in 100 previous meets leading up to the Olympics have been approximately Normally distributed with means and standard deviations as shown in the table below. We will further assume that Carty's performance at the Olympics will follow the same pattern as her pre-Olympic meets. This is a reasonable assumption for world-class athletes like Carly.

Explanation / Answer

Here you have not provided what is asked in the question.Also the last row of the data is missing.

I am assuming that you are asking the standard error and the mean in the olympic performance for Carly.

The mean would simply be equal to the sum of all the given means, and the standard deviation would be equal to the square root of sum of squares of all the standard deviations.

If some hypothesis testing is to be done using the data given for the score of the silver medalist, then please provide the full question statement and all the relevant data.

Revert back if you have any queries.

Hope this helps !

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