for computational procedu 1) Ted scored 98 on an exam with mean 80 and standard deviation 12. Fred scored 98 on an exam with mean 60 and standard deviation 30. In terms of the number of standard deviations from the mean, who scored better and why? 2) IQ scores for a population of students are normally distributed with mean H = 100 and standard deviation o = 15. Find: a) the percentage of students with IQ scores less than 120 b) the percentage of students with IQ scores greater than 110 c) the percentage of students with IQ scores between 90 and 105 d) the percentage of students with IQ scores less than 85 ) the probability that a student has an IQ score greater than 92 f) the probability that a student has an IQ score between 110 and 135 3) Entrance exam scores for a group of college students are normally distributed with mean u = 500 and standard deviation o = 100. a) Students placing in the bottom 3% of scores on this exam are ineligible for athletic teams during the freshman year. what is the cutoff score below which a student is ineligible for athletics? b) Students placing in the top 15% are awarded scholarships. what is the minimum cutoff score a student must achieve to earn a scholarship? c) Find the 10th percentile of the data (that is, the number which has 10% of the data lying below it). d) Find the 92nd percentile of the data. BONUS) Find the two scores that cut off the middle 70% of scores. 4) People leaving a movie were tabulated by gender (M/F) and whether they liked or hated the movie: Liked 28 212 Hated 42 68 Find the following probabilities: a) P(liked) b) P(M) D/M and hated? M O