math questions 4-8

(Please note: The outlier penny (1939) was removed from the data list for this sampling activity.) Using the attached (Excel) list of penny years to copy and paste these years into the following online random generator: https://random-ize.com/randomize-list/ Sample mean To find the age of each penny, subtract the year of the penny from the current year. x = 4 For example, 2022 - 2009 = 13 years old. 4. Record the ages of the first five penny ages on the randomized list (n = 5). Use the symbol x(5) to denote this sample mean. Find the mean age of this sample. Round your answer to one decimal place. Record this mean and reset the random generator. (Repeat this process 9 more times.) 5. How much does each x(5) deviate from the population mean? 6. Sketch a distribution graph of these samples on the last page of this activity. 7. Record the ages of the first 10 penny ages on the randomized list (n = 10). Use the symbol x(10) to denote this sample mean. Find the mean age of this sample. Round your answer to one decimal place. Record this mean and reset the random generator. (Repeat this process 7 more times.) 8. How much does each x(10) deviate from the population mean? 9. Sketch a distribution graph of these samples on the last page of this activity. 10. Record the ages of the first 25 penny ages on the randomized list (n = 25). . Use the symbol x(25) to denote this sample mean. Find the mean age of this sample. Round your answer to one decimal place. . . Record this mean and reset the random generator. . (Repeat this process 5 more times.) 11. How much does each x(25) deviate from the population mean