- 22 According To A Recent Reporting On A Standardized Test The Average Math Score For Students In A Particular State Wa 1 (141.63 KiB) Viewed 12 times
22. According to a recent reporting on a standardized test, the average math score for students in a particular state was 556. Assume the scores are Normally distributed with a standard deviation of 98. Answer parts (a) through (c) below including an appropriately labeled and shaded Normal curve for each part. a. What percentage of the math test takers from this state scored 600 or more? O A. O B. in 262 556 850 O C. O C. UK 262 556 850 600 VE 649 262 556 OC. The percentage that scored 600 or more is (Round to one decimal place as needed.) b. What percentage of the math test takers from this state scored between 600 and 649? OA. OB. 649 VE 262 850 556 850 The percentage that scored between 600 and 649 is (Round to one decimal place as needed.) 262 262 OD. 5% 546 850₂ 556 850 %. UC 556 850 O.D. 262 JE 649 556 OB. I 262 556 850 OD. c. Suppose students who scored in the top 5% of test takers in the state were eligible for a special scholarship program. What score would qualify students for this scholarship program? OA. (1) (1) O Statement B O Statement A A score of would qualify them for this program. (Round to the nearest integer as needed.) VE 556 850 5% 251 556 850, 262 556 850 11 →→→> 649 23. According to survey data, the distribution of arm spans for males is approximately Normal with a mean of 71.6 inches and a standard deviation of 3.5 inches. a. The percentage of men with arms spans between 66 and 76 inches is (Round to one decimal place as needed.) a. What percentage of men have arm spans between 66 and 76 inches? b. A particular professional basketball player has an arm span of almost 89 inches. Find the z-score for this person's arm span. What percentage of males have an arm span at least as long as this person? b. The z-score for this arm length is (Type an integer or decimal rounded to two decimal places as needed.) The percentage of males who have an arm span at least as long is this person is (Round to one decimal place as needed.) 24. The Normal model N(65, 2.5) describes the distribution of heights of college women (inches). Which of the following questions asks for a probability and which asks for a measurement (and is thus an inverse Normal question)? a. What is the probability that a random college woman has a height of 68 inches or more? b. To be in the Tall Club, a woman must have a height such that only 2% of women are taller. What is this height? asks for a measurement (inverse) and (2) asks for a probability. (2) O Statement B Statement A