5. What do you notice about the change in SOCS? 6. Create a general rule with respects to SOCS what changes and what doesn't change when we perform this type of transformation on a data set? Do you think this will always be true? 2. Amy took the SAT math and scored a 652. The mean score on the SAT math is 580 with a standard deviation of 100. What percent of students score higher than Amy on the SAT math? a. Draw a Normal curve for the data b. Use the Normal curve to estimate d. Use Table A to find the area of the (unshaded). the z-score. region shaded to the right of Amy's :- score. e. Use a graphing utility to find the c. Calculator the z-score. area of the region shaded to the right of Amy's score. 3. Tabitha is studying concentrations of a fertilizer in local rivers and lakes. The average level of fertilizer is 50 ppm with a standard deviation of 6 ppm. She tests a sample from the delta and finds it to contain 40 ppm of fertilizer. a. Draw a Normal curve for the data b. What percent of rivers and lakes (3. What percent have a higher ppm (unshaded). have a lower ppm than the sample? than the sample? Task B: The data set below shows the length of 19 randomly selected pine beetles collected in Yosemite (in). 1.9 2.7 2.6 2.5 2.5 2.3 2.2 3.0 2.9 1. Describe the Distribution of the Data: 2. The researcher just realized they need to submit their ndings in metric units. There are cm in every inch. Convert the data set into cm for them. 3. Pages 92-98 discuss a variety of transformations we can perform on data. What kind is this? 4. Describe the Distribution of the Data after you have completed the transformation. 5. What do you notice about the change in SOCS? 6. Create a general rule with respects to SOCS - what changes and what doesn't change - when we perform this type of transformation on a data set? Do you think this will always be true?6. The average score on the Chapter 1 Stats test was 81 with a standard deviation of 7. a. If you were in the 50th percentile, b. If you were in the 84\"h percentile, c. If you were in the 70th percentile, what was your score on the test? what was your score on the test? what was your score on the test? 7. The average points scored by high school football teams in your region is 24 points with a standard deviation of 9 points. a. If your team is in the 50'" b. How many points per game does a c. How many points per game does a percentile, how many points does team average with a z-score of -1? team average with a z-score of 1.6? your team average a game? 4. The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. a. Draw a Normal curve for the data b. What percent of students in the c. What percent of student have a (unshaded). course have a GPA between 2.9 and GPA below 2.0? 3.8? 5. The average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years. a. Draw a Normal curve for the data b. What percent of fans are between c. What percent of fans are older (unshaded). 18 and 27 years old? than 50 years old? For the questions below, assume the populations are normally distributed. 1. Bobby earned a score of 378 on the CST math Geometry test. He finds out from his school that the mean score is 350 with a standard deviation of 50. Bobbyr wants to know how well he did on the CST compared to his peers. a. Draw a Normal curve for the data. b. Use the Normal curve to estimate d. Use the Normal curve to estimate the z-score. Bobby's percentile. c. Calculator the z-score. e. Find Bobby's percentile by using the z-score and Table A from your book. f. Find Bobby's percentile by using the normaicdf function of your graphing utitlity. Task A: The data set below shows the temperatures for the last 20 days in Tracy CA at noon (F). 98 102 87 85 92 94 97 97 85 100 101 101 92 95 105 107 105 90 84 82 1. Describe the Distribution of the Data: 2. It was discovered that the thermal sensor used was not calibrated correctly and was off by 6 degrees such that the first temperature above (98) should have really been 92. Adjust all the temperatures to the new calibration. 3. Pages 92-98 discuss a variety of transformations we can perform on data. What kind is this? 4. Describe the Distribution of the Data after you have completed the transformation