0 Question 5 v ( > Zari and Makayla began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Zari took a test in Science and earned a 76.8, and Makayla took a test in Math and earned a 70.9. Use the fact that all the students' test grades in the Science class had a mean of 74.1 and a standard deviation of 11.1, and all the students' test grades in Math had a mean of 63.3 and a standard deviation of 10.3 to answer the following questions. a) Calculate the z-score for Zari's test grade. 2 = :] [Round your answer to two decimal places.] b) Calculate the z-score for Makayla's test grade. 2 = S [Round your answer to two decimal places.] c) Which person did relatively better? 0 Zari O Makayla 0 They did equally well. 0 Question 6 v A variable a: is normally distributed with mean 22 and standard deviation 4. Round your answers to the nearest hundredth as needed. a) Determine the z-score for a: = 26. 2:: H b) Determine the z-score for a: = 18. U z = c) What value of a: has a z-score of 2? :6: H d) What value of a: has a z-score of 0.8? U a; = e) What value of :1: has a z-score of 0? :6: U 0 Question 2 v If the area to the left of .1: in a normal distribution is 0.222, what is the area to the right of :5? Answer: C] If the area to the right of :1: in a normal distribution is 0.222, what is the area to the left of :5? Answer: C] Question Help: El Video 8 Message instructor Submit Question 0 Question 1 v The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 1.8 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? x - N(E,E) b. What is the median recovery time? D days c. What is the Z-score for a patient that took 5 days to recover? C] d. What is the probability of spending more than 3.1 days in recovery? E e. What is the probability of spending between 2.5 and 3 days in recovery? C] f. The 85th percentile for recovery times is C] days. Chapter 6: Normal Distribution Score: 0/10 0/10 answered 0 Question 2 v The mean amount of time it takes a kidney stone to pass is 15 days and the standard deviation is 4 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? x _ N(E,E} b. Find the probability that a randomly selected person with a kidney stone will take longer than 12 days to c. Find the minimum number for the upper quarter of the time to pass a kidney stone. C] days. 0 Question 3 v ( > On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 106 and a standard deviation of 17. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X - N(:],[:]) b. Find the probability that a randomly selected person's IQ is over 103. [:] Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 5% for IQ scores. What is the highest IQ score a child can have and still receive special services? SRound your answer to 2 decimal places. d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places. Q1: CI C] IQR