ALGBRA 28 - 2-Scores Worksheet (#_ JJ 1.) IQ scores have a mean of 100 and an SD of 15 points. a. find the slightly normal range of IQ scores b. Kelly Stewart has an 1Q of 132. Find the 2-score for Kelly Stewart. Is she unusual? 2.) Women's heights - a normal distribution = has a mean of 63.6 inches and a standard deviation of 2.5 inches. Jodi Taylor is 61.I inches. Find the 2-score for her height. Is she unusual? 3.) The heights of adult males - a normal distribution - have a mean of 69.0 inches and an SD of 2.8 inches. Find the 2-scores corresponding to the following: a. NBA ball player Shaq O'Neal whose height is 7' 1" tall b. Bob Jenkins, who is 5' 4" tall 4.) Human body temperatures have a mean of 98.20 degrees (F) and standard deviation of 0.62 degrees. Convert the following RAW scores to 2-scores: a. 100 degrees b. 96.96 degrees c. 98.20 degrees 5.) An emergency room patient has a temperature of 101 degrees. Review the mean and standard deviation in 14 above. Convert the 101 degrees to a z-score and determine whether it is unusual. 6.) The Beanstalk Club is limited to women and men who are very, very tall. The minimum height requirement for women is 70 inches. Women's heights have a mean of 63.6 inches and an SD of 2.5 inches. a. find the usual range of women's heights b. Find the 2-score corresponding to a woman with a height of 72 inches and determine whether that height is unusual. 7.) For men between the ages of IS and 24, the average cholesterol score is 178. I and a standard deviation of 40.7 points. If'a male, aged 22, has a level of 259, is it unusually high? 8.) Use z-scores to rank the three tests from best to worst performance. a. A score of 144 on a test with a mean of 128 and an SD of 34 b. A score of 90 on a test with a mean of $6 and an SD of 18 C. A score of 18 on a test with a mean of 15 and an SD of 51-7. Use the following data (ages, In years of students cars]: 5 7 16 13 13 7 ET 1.1 What is the mode of the data? What is the median of the data? 3.1 1.| What is the mean of the data? 4.1 Create a box and whiskers plot of the data 2.1 5.] What is the range of the data? 3.1 6.1 What is the age of the car at the 65" Percentile? 4. What is the age of a car at the 10" percentile? 8-13. Use the following information to answer the questions: The amount of time that college freshman spend studying each week have a mean of 7.05 hours and a standard deviation of 5.32 hours (based on doto from The American Freshman) 6.1 5.) Sketch a normal curve showing all the deviations from the mean. 7. 8.) What percent of values lie within one standard deviation of the B.I meant 10.) What percent of values lie within two standard deviations of the meant 11) What percent of freshman spend more than 12.38 hours studying? 12.) What percent of freshman spend less than 7.06 hours studying? 13.) What percent of freshman spend between 7.06 and 17.7 hours studying? 9.1 10. 14.) Scores on a history test have average of 80 with standard 11.1 deviation of 6. What is the z score for a student who earned a 75 on the test? 12.1 I'ET 14.| 15.] Books in the library are found to have average length of 350 pages with standard deviation of 100 pages. What is the a score 15. corresponding to a book of length 80 pages