Question: A social psychologist has developed a test to measure gregariousness. The test is normed so that it has a mean of 70 and a standard deviation of 20 , and the gregariousness scores are normally distributed in the population of college students used to develop the test.

1. What is the percentile rank of a score of 40 ?
2. What percentage of scores falls between 35 and 90 ?
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3. What is the standard score for a test score of 65 ?
4. What proportion of students should score above 115 ?
5. What is the cutoff score below which 87 percent of all scores fall?

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