Once a year the local chapter of the student Psychology honors club allows potential new members to take the entrance test to determine if they are eligible to join. Last year Brian and 199 other students took this test. Create the following:

1. Brian's raw score on the test (not 0 or 100).
2. The mean test score for the testing group.
3. The standard deviation for the testing group.

Based on the scores that were generated calculate the following:

1. Brian's z score.
2. The percentile of students who scored below Brian on the test.
3. The percentage of students that scored between the raw scores of 60 and 80.

Brian's friend Max who has no experience with Psychology or Statistics wants to know why Brian's z score is important. How might Brian explain z scores to Max (make sure to incorporate an explanation of the normal curve in your response)? The Psychology honors club determine that they are going to accept all students with a z score of 1.5 and higher. What raw score did the students have to score on the test to be accepted into the club? Later in the year a researcher wants to investigate the IQ of the students in the National chapter of the psychology club. There are 5000 members. The researcher decides to conduct research with the 300 members of the local chapter. In the context of this scenario define the population and the sample. Are psychologists more likely to conduct research with samples or populations? Why?