Normal Distribution Question 1 {1 point] Select the statement that best describes the two normal distributions shown. 0.3 0.2 0 Same rnean, same standard deviation 0 Same mean, different standard deviation 0 Different mean. same standard deviation 0 Different mean. different standard deviation Question 2 {1 point] Select the statement that best describes the two normal distributions shown. 0.2+ 0.1+ 0 10 Same mean, same standard deviation Same mean, different standard deviation Different mean, same standard deviation ODifferent mean, different standard deviation Question 3 (1 point) The incubation period (the time between infection and first appearance of symptoms) for the Ebola virus is normally distributed with a mean of 12 days and a standard deviation of 4.5 days. Find the probability that a randomly selected case shows symptoms in fewer than 7 days.\fQuestion 4 {1 point] The incubation period {the time between infection and rst appearance of symptoms] for the Ebola virus is normally distributed with a mean of 12 days and a standard deviation of 4.5 days. Aocording to the empirical rule, 63% of cases will show symptoms in how many days? 0 15 to 16.5 days O3to21days O 4.5 to 12 days Question 5 {1 point] The sizes of Girl Scout Thin Mint cookies are normally distributed. They have a mean size of I125 ounces and a standard deviation of 0.03 ounces. What is the probability of nding a cookie over 0.30 ounces? O Less than 1% O Between 1% and 5% O Between sat and 10% 0 Between 1% and 1596 0 Over 15% Question s {1 point] Suppose a new car is designed for people from 58 inches to 76 inches tall. The heights of adult men in the United States are approximately normally distributed with a mean of 70 inches and a standard deviation of 3 inches. What is the probability that an adult man will be too tall for this car? 2.28% 1.14% 15.9% 3.42% Question 7 (1 point) What does a z-score measure? How large a value is, as a multiple of the mean How far a value is from the mean, in standard deviations How many z's are in the name of the scientist conducting the study Question 8 (1 point) Megan took two exams and scored a 78 on both. On the first exam, the mean score for the class was 70, and the standard deviation was 8. On the second exam, the mean score for the class was 66, and the standard deviation was 6. Which exam did she do better on? Exam 1 Exam 2 She did the same on both Doesn't matter, C's get degreesCentral Limit Theorem Question 9 (1 point) The central limit theorem only applies to random variables with normal distributions. True False Question 10 (1 point) A study was done on adult recreational soccer leagues. The average time it takes a group to play one match is normally distributed with a mean of 2 hours and a standard deviation of 0.50 hours. A random sample of 25 teams is chosen. What is the probability that the sample mean for their playing times is between 1.8 hours and 2.3 hours? 38.1% 97.5% 72.6% 65.5% Question 11 (1 point) A college surveyed its students to ask about stress levels, on a scale of 1 to 5. The mean score reported was 3.5, and the standard deviation was 1.15. The college wants to select a smaller sample to ask more in-depth questions. If they choose a sample of 75 students, what is the probability that the sample's mean stress score will be at least 3.4? 22.6% (77.4% 53.5% 46.5%