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Exercises_on_Z_scores

# Exercises_on_Z_scores - scores are normally distributed...

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January 20, 2010 Exercises on Z scores 1. Suppose the number of clients seen in any given week by full time psychotherapists in a particular city is normally distributed with a mean of 15.3 and a standard deviation of 2.8. a) A therapist who is in the top 5% of number of clients seen would be seeing at least how many? b) What is the most a therapist could be seeing and still be in the bottom 10%? 2. A student took a test with a mean of 500 and a standard deviation of 100. a) If the student scored 740, what percent of test takers scored higher? b) What percentage scored lower? c) If the student scored 380, what percentage scored higher? d) What percentage scored lower? 3. Suppose the people living in a particular city have a mean score of 40 and a standard deviation of 5 on a measure of concern about the environment. Assume that these concern

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Unformatted text preview: scores are normally distributed. Approximately what percentage of people have a score Do not use a normal curve table; use the 50% - 34% - 14% figures for this problem a) Above 40 b) Above 45 c) Above 30 d) Above 35 e) Below 40 f) Below 45 g) Below 30 h) Below 35 4. On a standard measure of hearing ability, the mean is 300 and the SD is 20. Give the Z scores for persons who score: a) 340 b) 310 c) 260 Give the raw scores for the persons whose Z scores on this test are: d) 2.4 e) 1.5 f) 0 g) -4.5 5. Assuming a normal curve, a) If a person is in the top 10% of his or her country on mathematics ability, what is the lowest Z score this person could have? b) If the person is in the top 1%, what would be the lowest Z score this person could have?...
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Exercises_on_Z_scores - scores are normally distributed...

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