### Problem regarding the probablity of scoring

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1) A distribution has a mean of 7 and a standard deviation of 4 what is the z score of a raw score of 0. Round to the second decimal place.

2) A distribution has a mean of 1 and standard deviation of 4. What is the raw score for a z score of 1.71 ? Round to the second decimal place.

3) A population distribution has a mean of 2 and a standard deviation of 7. What is the z score of a sample mean of 1, if the same size is 45? Round to the second decimal place.

4) For a normal distribution with a mean of 20 and a standard deviation of 10 what the probablity of scoring above a 30? Report your answer in percentage form to the second decimal place. Make sure you use the z table to get the exact answer.

5) For a normal distribution with a mean of 1 and a standard deviation of 2, what is the percentile of a score of -.5? Report your answer in percentage form to the second decimal place. Make sure you use the z table to get the exact answer.

6) For a normal distribution with a mean of 20 and a standard deviation of 10 what the probablity of scoring above a 37? Report your answer in percentage form to the second decimal place. Make sure you use the z table to get the exact answer.

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