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 years that 50 pennies were made.

Student will use their sample data to form confidence intervals for the population mean year of pennies in circulation.

1. Organize the data by using a stemplot for the years.

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 years made for the pennies in your sample.

Mean=

S.D.=

n=

5. Use your results to construct a 95% confidence interval for the mean year 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?

7. Use your results to construct a 98% confidence interval for the mean year 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 interval?

Birth Year of 50 pennies. 1995 2015 2018 2014 2006 2016 2008 1982 2016 1974 1972 2014 2010 2019 1998 2002 2017 1999 1982 1987 2014 2017 1976 2015 2012 1984 2004 1988 1983 1996 1984 2016 2015 2015 1987 1999 2001 2004 1945 2014 1990 2011 2014 1985 1989 2015 1980 1999 1996 1979