Relative Frequency

1. Assume the resting heart pass judgment for a sample of individuals atomic number 18 normally distri neverthelessed with a mean of 70 and a standard expiration of 15. Use the 68-95-99 rule to find the following quantities a. circumstances of rates slight than 70 = 50% b. Percentage of rates less than 55 = 16% c. Relative frequence of rates less than 40 = 2. 5% d. Percentage of rates less than 85 = 84% e. Relative frequency of rates less than 100 = 97. 5% f. Percentage of rates greater than 85 = 16% g.Percentage of rates greater than 55 = 84% h. Relative frequency of rates greater than 40 = 97. 5% i. Percentage of rates in the midst of 55 and 85 = 68% j. Percentage of rates between 70 and 100 = 47. 5% 2. Here are the results of four of your test Your pretend Mean Standard Deviation mathematics (out of 100) 70 80 3. QM (out of 20) 20 18 3 RM (out of 100) 66 75 5 History (out of 30) 28 20 3. 5 a. Present all four results on a standardized normal curve. Be sure to prese nt the calculations for each test. Math (70 80) / 3. 3 = -3. 03 *QM (20 18) / 3 = 0. 67 *RM (66 75) / 5 = -1. 8 *History (28 20) /3. 5 = 2. 29 pic Math RM QM History b. What is the percentage of battalion who endure a better retire than you in math? My maths mark is -3. 03 ( 49. 88 is the area between Mean and z. (50% + 49. 88) 99. 88% of people occur a better mark than me in math. c. What is the percentage of people who have a lower mark than you in RM? I got -1. 8 ( 35. 99 (50 35. 99) 14. 1% of people have a lower mark than me in RM d. Which test is the best? Explain The best test is the History one, since it has the highest z- work, 2. 29. in that location is a high superiority between my mark and the marks average of the class. Im 98. 9% over the class. 98. 9% of people got a lower mark than me in History. 3. Pediatric data damp that the average child is raft skilled at 26 months, but that there is a 2-month standard deviation from this norm. a. What percentage of c hildren are pot- teach by 23 months? 50 35. 31) 14. 69% of children are toilet-trained by 23 months. b. A mother is concerned that her son was trained at 30 months. What is the probability of having a child being trained at 30 months? (50 47. 72) 2. 28% is the probability of having a child being trained at 30 months. c. A mother is pleased that her daughter is trained at 18 months. How common is it that a child would be toilet trained at this age? (50 49. 997) There is . 003 of probabilities that a child would be toiled trained at 18 months. 4.Assume the scores among Asiatic Americans on an disaffection scale are normally distributed with a mean of 22 and a standard deviation of 2. 5 (higher scores reflect greater feelings of derangement). found on this distribution, determine a. The probability of an Asian American having an alienation score between 22 and 25 The probability of an Asian American having an alienation score between 22 and 25 is 38. 49%. b. The probability of an Asian American having an alienation score of 20 or less. (50 28. 81) The probability of an Asian American Having an alienation score of 20 or less is 21. 19%.