Chapter 6 - Supplementar Problems Si. Given a normally distributed set of test scores with me of 80 and a standerd deviation of 10, find the following a) The proportion of area below 60 75 80 88 92 b) The percentage of area above 98 65 c) The percentage of the population with scores between 65 and 84 62 and 91 60 and 72 88 and 96 82) Given a normal curve with a mean of 55 and a standard deviation of 8 find the following a) The scores associated with the upper 20% of the population b) The scores associated with the middle 80% of the distribution c) The scores assoicated with the most extreme 5% of the population d) The scores associated with the lower 10% of the population e) The scores associated with the lower 60% of the population $3) A medical aptitude test has been administered over a period of years to 8000 senior premedical students from a large number of US colleges and universities. The frequency distribution of scores very closely approximates the normal curve and has a mean of 90 and a standard deviation of 16. Using this information, answer the following questions a) What percentage have scores between 58 and 70 b) What percent of the group scored above 1002 c) One student had a score of 124 What is her percentile ink! d) No medical school will consider an applicant with a score less than 73. How many of the 8000 students should not bother to apply e) Pasteur Medical School will consider only those applicants with scold of 114 or above How many of the group fell below their requirement? What percentage what forled to meet Pasteur's requinsment had scores that pennistof them to apply elsewhere The top 10% of the population has a scores of approximately what and als arbitrarily say that Sa of the populitun had extremebe deviant asses. What - scores are considered devant? What are the cresponding new scores? scores are considered deviant? What are the corresponding raw scores? 15% of the population had extremely deviant scores What 5) What scores made up the middle 90% of the population? j) Salk University will converts the scores of all applicants taking this test to a standardized T score (mean = 50 and standard deviation 10). If an applicant had a raw Chapter 5 Supplemental Problems score 110, what would their T score be? k) Another medical college accepts either this medical aptitude test score or a GRE for admission. They routinely convert the medical school aptitude test scores to equivalent GRE scores (mean 500 and standard deviation 100), What would be the GRE equivalent for a raw score of 1202 S4) Given a set of raw scores, with a mean of 50 and a standard deviation of 5, convert the following raw scores to the standardized score indicated a) A raw score of 35 to a T score (I score mean 50, standard deviation10) b) A raw score of 57 to a GRE score (GRE score mean 500, standard deviation=100) c) A raw score of 63 to an IQ score (10 score mean 100, standard deviation 15) $5) On a normally distributed math aptitude test, norms for females are mean 60 and standard deviation = 10, and norms for males are mean 64 and standard deviation 8. Given this information answer the following items a) Arthur scored a 62 What is percentile rank on both male and female norms b) Helen's percentile rank was 73 on the female norms What is her percentile rank on the male norms S6) Scores on a national test for Counseling students are normally distributed with a mean of 64 and a standard deviation of 8. Given this information answer the following questions a) What proportion of the students have scores between tio and 20 b) What percentage of the students have scores between 50 and 60 e) If the criterion for pssing is having a score in the upper 75% of the population, what scores would be associated with the upper 75% d) If the upper 20% of the population are eligible for scholarships, what test scores would students have to receive to be eligible for a scholarship