**Your initial post should be 75-150 words in length. **

Watch this video: https://www.youtube.com/watch?v=tFWsuO9f74o

- What is a confidence interval?
- What are some factors that affect the size of a confidence interval?
**In the discussion for week 4, you rolled a pair of dice 10 times and calculated the average sum of your rolls. Then you did the same thing with 20 rolls. Use your results from the week 4 discussion for the average of 10 rolls and for the average of 20 rolls to construct a 95% confidence interval for the true mean of the sum of a pair of dice (assume Ïƒ = 2.41).**- What do you notice about the length of the interval for the mean of 10 rolls versus the mean of 20 rolls? Did you expect this? Why or why not?
- Using your mean for 20 rolls, calculate the 90% confidence interval. Explain its size as compared to the 95% confidence interval for 20 rolls.

****Note below are the average sum of my rolls from my discussion for week 4. This information is needed to help answer question above.****

#### When rolling the dice 10 times, the results are shown below:

3+2=5

5+5=10

1+1=2

1+5=6

3+6=9

4+1=5

1+1=2

2+6=8

1+5=6

3+2=5

**(Total avg: 58/10=5.8)**

**When rolling the dice 20 times, the results were as shown below:**

1+2=3

1+3=4

6+4=10

2+1=3

6+1=7

1+3=4

6+5=11

1+6=7

1+2=3

4+1=5

6+2=8

2+2=4

3+2=5

3+3=6

1+6=7

5+2=7

2+1=3

3+3=6

2+2=4

1+5=6

(**Total avg: 113/20=5.65)**

**Please provide original work. No plagiarizing.**