QUESTION 6 A college professor asked their class of 24 students, "On a scale of 1 to 5, how stressed do you feel?" The results are below. Stress Level Frequency 5 What is the mode? If there is no mode, type the word "none" in the provided blank. If there is more than one mode, separate the numbers with a comma. What is the median? Round your answer to 1 decimal place if appropriate. What is the mean? Round your answer to 1 decimal place if appropriate. QUESTION 7 In a survey of 1850 people it was found that 17% believed plants are aliens. What is the margin of error for this study? Do not type the +/- or the % symbol in your answer. Round your answer to 2 decimal places. QUESTION 8 The SAT is a normally distributed exam with a mean of 500 and a standard deviation of 100. If a College only accepts students who score in the top 25%, what is the cut off score? Use the given chart below and the z-score/percentile that is the closest to what you need for your calculations. z-score Percentile z-score percentile .50 69.15 1.00 84.13 .55 70.88 1.05 85.13 60 72.57 1.10 86.43 .65 74.22 1.15 87.49 .70 75.80 1.20 88.49 .75 77.34 1.25 89.44 .80 78.81 1.30 90.32 .85 80.23 1.35 91.15 .90 81.59 1.40 91.92 .95 82.89 1.45 92.65QUESTION 1 A standardized test has scores that are normally distributed with a mean of 500 and a standard deviation of 20. Find the z-score for a score of 538. Give your answer to 1 decimal place. QUESTION 2 Casey's grade in History is determined by the scores on five 100-point exams. Casey's first four scores are 85, 72, 63, and 95. What is the lowest score Casey can get on the fifth exam to have an average of 80% or better? Do not include the % symbol in your answer. QUESTION 3 In Joe's day care class there are seven four-year-olds. Their heights to the nearest inch are given below. What is the midrange of the heights? Round your answer to 1 decimal place if appropriate. 39, 37, 39, 41, 38, 34, 45 QUESTION 4 You have just taken a standardized test where the scores are normally distributed. You are told that your score corresponds to a z-score of 1. Put the word "higher", "lower", or "equal" in the blanks below to make the following statements true. (Do not put " " around your answers) Compared to the mean, your score is Compared to the median, your score is QUESTION 5 The heights of a group of 400 third graders is normally distributed with a mean of 52 inches and a standard deviation of 1.6 inches. What height would a thrid grader need to be in order to be in the top 2.5% tallest third graders in this group? Give your answer to 1 decimal place. Do not include the word inches in your