MA 215 Grantham University Week 5 Confidence Interval Discussion Each week, you will be asked to respond to the prompt or prompts in the discussion forum.

MA 215 Grantham University Week 5 Confidence Interval Discussion Each week, you will be asked to respond to the prompt or prompts in the discussion forum. Your initial post should be 75-150 words in length, and is due on Sunday. By Tuesday, you should respond to two additional posts from your peers. 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 σ = 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 When I conducted this
experiment again, this was the
outcome.
Roll
No.
Dice Dice 2 Sum
1
1
2
2
4
2
6
2
8
3
2
5
7
4
3
1
4
5
6
6
12
6
4
6
10
7
4
5
9
8
3
6
9
9
4
6
10
10
5
4
9
11
3
5
8
12
6
6
12
13
1
1
2
14
1
5
6
15
6
4
10
16
3
6
9
17
2
4
6
18
1
1
2
19
4
5
9
20
5
1
6
stun
152
Average = 152 / 20 = – 7.6

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