Describe the sample selected. 2. [2] Describe the population of interest. 3. [2] Describe the parameter of interest. 4. [3+3] List the three conditions the data must satisfy in order for us to be able to compute a confidence interval AND briefly explain why each condition is satisfied.

MAT*H167: Principles of Statistics
Quiz 13

Answer the following questions and attach your work to the submission link in Blackboard.

The attached spreadsheet contains data on the type, color, diameter, and mass for a sample of n=462 Plain M&Ms.

Suppose you would like to compute a 99% confidence interval for the proportion of Plain M&Ms that are colored blue.

1. [2] Describe the sample selected.

2. [2] Describe the population of interest.

3. [2] Describe the parameter of interest.

4. [3+3] List the three conditions the data must satisfy in order for us to be able to compute a confidence interval AND briefly explain why each condition is satisfied.

5. [5] What is the lower bound of the confidence interval?

6. [5] What is the upper bound of the confidence interval?

7. [4] Briefly explain what the bounds of your confidence interval tell you about the parameter of interest.