A quick check to see how good you are at testing Z-scores

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You are a swimmer who competes in the 50 free. Your fastest time for this race is 27.6 seconds. You want to know how your time compares to the other swimmers on your team. The following are the 50 free times for everyone on your team.

 Swimmer 1 = 30.5 seconds Swimmer 2 = 25.3 seconds Swimmer 3 (You) = 27.6 seconds Swimmer 4 = 31.7 seconds Swimmer 5 = 33.2 seconds Swimmer 6 = 26.9 seconds Swimmer 7 = 35.5 seconds Swimmer 8 = 23.8 seconds

1. Generate z-scores for this data set.

2. Report the type of test used and what it was used to test by filling in the blanks of the following sentence.

“_____________ were computed for raw scores in the  ________ data set.”

3. Fill in the blanks of the following sentence by reporting your raw score and z-score.

“For the raw score ______, z = _____.”

4. Write a sentence that states what your results mean in terms of your experiment – in words that an inexperienced scientific reader could understand.

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