Project31.doc

Project 3: Confidence Intervals – (the easiest one)

Predicting the Population Proportion or Population Mean

Collect data, at least 15 metric values and find the confidence interval for the population mean or … find the confidence interval for a population proportion, where you will need at least 20 responses to a survey question you came up with. **Again: if you are finding the confidence interval for the population proportion, you will have to ask at least 20 people their response to the poll question!

Develop an 82% confidence interval and a 98% confidence interval for the population proportion or population mean.

Note 1: You will work with either the mean or the proportion. Not both. Not blended.

Note 2: If you are finding the confidence interval for the population proportion, attach the question and first names of subjects.

In a nutshell, the idea is to show that you understand confidence intervals and can interpret your results. The checklist below provides details.

Here is a Project 3 Checklist:

3□

Title

2□

Your Name(s)

5□

Area of Interest and Why the Information is of Interest to You.

5□

Data Type: Qualitative or Quantitative (which of the two is the type for the data you are using?).

5□

Data / Question (include source for mean / question and first names of your subjects for proportion)

10□

State Either the Sample Mean or P-hat (state result and show formula; work not required)

10□

State Either the Sample Standard Deviation or Q-hat (state result and show formula; work not required)

5□

To Find the Confidence Intervals, Do You Use a Z Statistic or T Statistic? Why?

20□

a) Margin of Error for 82% Confidence (state result and show formula; work not required)

b) The 82% Confidence Interval

20□

a) Margin of Error for 98% Confidence (state result and show formula; work not required)

b) The 98% Confidence Interval

15□

Summary Statements (Statement interpreting the confidence intervals. Add what you discovered in doing this project, if anything stood out.)

Example Topics: Determine the mean cost of a car that you like or salary for the career you seek. Determine the percentage of students who do prefer Algebra over Statistics ( or the percent of people who will catch you if you fall. You can use the data from Project 1 or YOUR poll question and responses from Project 2.