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To graduate from Onlo, you need to earn 5 points on an Algebra EOC or score remediation free scores on the ACT and SAT math exams. The EOC exams are normally distributed with a mean of 702.19 and a standard deviation of 35.81. A score of 700 is needed to earn 3 points. a. Fill in the values of each standard deviation above and below the mean, and make sure to add in the value of the mean. Answers only are fine. (6 points) Z - 1 O 3 b. What would be the z-score for a 700 on the EOC? Show work. (2 points) c. You can also earn math credit by scoring a remediation free score of 22 on the ACT. ACT tests have a mean value of 20.95 and a standard deviation of 4.96. What would be a z-score for a 22 on the ACT? Show work. (2 points) d. You can also earn math credit by scoring a remediation free score of 530 on the SAT. SAT tests have aYou can also earn math credit by scoring a remediation free score of 22 on the ACT. ACT tests have a mean value of 20.95 and a standard deviation of 4.96. What would be a zscore for a 22 on the ACT? Show work. (2 points) You can also earn math credit by scoring a remediation free score of 530 on the SAT. SAT tests have a mean value of 527 and a standard deviation of 109. What would be a z-score for a 530 on the SAT? Show work. (2 points) Of the three testing options, which would be statistically hardest to earn? Circle the answer and explain your reasoning. (3 points) EOC ACT SAT Page 1 of 1 into a single non-zipped document. Lesson: 5.02 Suppose that the weights of 2700 registered female Great Danes in the United States are distributed normally with a mean of 133 lb. and a standard deviation of 6.4 lb. Approximately how many of the Great Danes weigh less than 126.6 lbs.? Lesson: 5.03 Body mass index, or BMI, of 20-year-old females are normally distributed with a mean of 23.9 and a standard deviation of 2.8. Twenty-year-old Eva's BMI has a z-score of 1.52. What is Eva's BMI?Lesson: 5.04 An experiment compares weight of sh for two different brands sh food. Nacho Average Minos sh food has a mean sh weight 16 lbs., and a standard deviation of 1.7 lbs. Impossible Minos sh food has a mean sh weight of 14 lbs. and a standard deviation of 1.8 lb. A sh is measured to be 15.8 lbs. Which brand of sh food, Nacho Average Minos, or Impossible Minos, is more likely to have been used to feed this sh? Lesson 5.06 Height of 10th grade boys is normally distributed with a mean of 64.5 in. and a standard deviation of 3.1 in. The area greater than the zscore is the probability that a randomly selected 10th grade boy exceeds 60 in. What is the probability that a randomly selected 10th grade boy exceeds 60 in.? Use your standard normal table. Lesson 5.07 Heights for 16-year-old girls are normally distributed with a mean of 65 in. and a standard deviation of 2.2 in. Find the z-score associated with the 80th percentile. Lesson 5.07 Heights for 16-year-old girls are normally distributed with a mean of 65 in. and a standard deviation of 2.2 in. Find the zscore associated with the 80th percentile. Find the height of a 16-year-old girl in the 80th percentile. Page 2 of 3 Find the height of a 16-year-old girl in the 80th percentile. Page 2 of 3 Unit 5 Homework due: April 21, 2023 State your answer to the nearest tenth of an inch