Math 10 Name: Chapter 8 Lab: Confidence Intervals The Age of a Penny Student Learning Outcomes: • Students will use sample data to find confidence intervals for an unknown population mean. Materials:...

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Math 10 Name: Chapter 8 Lab: Confidence Intervals The Age of a Penny Student Learning Outcomes: • Students will use sample data to find confidence intervals for an unknown population mean. Materials: • A roll of 50 pennies OR use the attached data sheet. Procedure: • Students will compute various statistics using the age of pennies. • Student will use their sample data to form confidence intervals for the population mean age of pennies in circulation. 1. Organize the data by using a stemplot of the ages. 33 From Probability to Inference Project 9 THE AGE OF A PENNY Have you ever wondered how long coins stay in circulation? Are you a collector? You each have a tube of pennies. Your first task is to form a distribution of their ages. 1. Organize the data by using a stemplot of the ages. Split the stems to give sufficient stems to the data. 2. What is the shape of the distribution? Why do you think it is this shape? 3. Did you find any outliers? 4. Do you think the distribution of all pennies in circulation is similar to your sample? 5. List the characteristic assumptions for the Central Limit Theorem, and decide if they are satisfied by your distribution. 1 2 2. What is the shape of the distribution? 3. Do you think the distribution of all pennies in circulation is similar to your sample? 4. Find the mean and standard deviation of the ages of the pennies in your sample. Mean= S.D.= n= 5. Use your results to construct a 95% confidence interval for the mean age of pennies in circulation. In words, explain what this confidence interval means. 6. What is the Error Bound for the Mean for the 95% confidence interval? 3 7. Use your results to construct a 98% confidence interval for the mean age of pennies in circulation. In words, explain what this confidence interval means. 8. What is the Error Bound for the Mean for the 98% confidence inter- val? 4 Age of 50 pennies. 1995 2018 2006 2008 2016 1972 2010 1998 2017 1982 2014 1976 2012 2004 1983 1984 2015 1987 2001 1945 1990 2014 1989 1980 1996 2015 2014 2016 1982 1974 2014 2019 2002 1999 1987 2017 2015 1984 1988 1996 2016 2015 1999 2004 2014 2011 1985 2015 1999 1979