STAT_8E_Preview Score: 1/11 1/6 answered Question 2 Questions 2 and 3: Go to https://dcmathpathways.shinyapps.io/NormalDist/ to open the DCMP Normal Distribution tool. Which of the following describes what the numbers on the following graph (1, 2, 3, etc.) represent? -3 -2 2 3 H -30 H -20 LL u+6 H+ 20 4+30 Hint Review the standard normal curve. O Number of occurrences O Standard deviation O Z-scores O Probability Calculator Submit QuestionSTAT_8 E_P review Score: 1111 U6 answered 0 Question 3 v At the top of the DCMP Normal Distribution tool, choose the Find Probability tab. Part A: Let's find the exact probability that a normally distributed random variable is within one standard deviation of the mean. To find the probability that a random variable will be between two specified values, set "Type of Probability" to "Interval: P(a Questions 4 and 5: Continue using the DCMP Normal Distribution tool to complete any necessary calculations. Recall Question 3 from Practice Assignment SD. The average body temperature for healthy adults is 98.2F with a standard deviation of 0.73F. Part A: What is the probability a randomly selected healthy adult will have a temperature below 98.6F? Write your answer as a proportion. Include 4 decimal places in your answer. Hint Use the lower tail probability. Part B: What is the probability a randomly selected healthy adult will have a temperature above 100.4F? Hint Use the upper tail probability. Part C: A fever is considered medically significant if body temperature reaches 100.4 F. What do you observe about this temperature? Do you think this temperature is medically significant? Fill in the blanks. 100.4 has a z-score ? . It is Select an answer | that a healthy adult would have this temperature. - 3 Hint 2 Think about z-scores. How many standard deviations above the mean is this temperature? Calculator Submit QuestionPart C: A fever is considered medically significant if body temperature reaches 100.4 F. What do you observe about this temperature? Do you think this temperature is medically significant? Fill in the blanks. 100.4 has a z-score of ? v . It i: v Select an answer lat a healthy adult would have this temperature. very likely very unlikely Hint Think about z-scores. How many standard deviations above the mean is this temperature? Calculator Submit QuestionPart C: A fever is considered medically significant if body temperature reaches 100.4 F. What do you observe about this temperature? Do you think this temperature is medically significant? Fill in the blanks. 100.4 has a z-score of ? v . It is Select an answer v] that a healthy adult would have this temperature. Hint Think about z-scores. How many standard deviations above the mean is this temperature? Calculator Submit QuestionSTAT_8 E_P review Score:1/11 1/6 answered 0 Question 5 V One thousand high school juniors take a standardized exam. The distribution of student scores approximates a normal distribution with an average score of 68.4 and a standard deviation of 6.8. Part A: What percentage of students passed the exam with a score of at least 65? Hint Use the upper tail probability. % Part B: Students who scored between 55 and 65 are given the chance to take the exam again to improve their scores. What percentage of students will have the chance to retake the exam? Use the interval probability. % Part C: Fill in the blanks. Round to the nearest hundredth. Hint Remember the Empirical Rule. Approximately 68% of all scores are between and Approximately 95% of all scores are between and Approximately 99.7% of all scores are between and Part D: On their score reports, students are told how their scores compare to other students' scores. For example, a student might be told that they scored better than 80% of their peers. We can use this information to estimate the students' raw scores. At the top of the DCMP Normal Distribution toolr choose the Find Percentile/Quantile tab. Set the mean to 68.4 and the standard deviation to 6.8. Use the tool to complete the following table. Round to the nearest hundredth. Student Scores Better Than 22% of Peers Approximate Raw Score 5% 20% 80% 99% Use the lower tail option to calculate the percentile. E Calculator