# A Typical IQ test has a population mean of 100 and a standard deviation of 15. Answer the following based on the above mean and standard deviation:

**BERERR**

1. If Mark had an IQ of 110, what would be his z, or standard score?

2. What proportion of the population would have a score equal to or higher than Mark?

3. Andrew took the same test and got a 95. What is Andrew's Z score?

4. What proportion of the population would have IQ's equal to or between Mark and Andrew?

5. Approximately 84% of IQ scores would be equal to or between what two scores?

6. If a researcher took a sample of 25 people, what would be the standard error?

7. Based on this standard error, what is the probability that the mean of a sample of 25 peope would be greater than 115?

8. What is the probability that the mean of a sample of 50 people would be greater than 115?

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