Description
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 ? = 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.
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)
Explanation & Answer
Answer: In inferential statistics, observed sample data is used to estimate population.
A confidence interval shows us the estimated value of range, to include the parameter for an unknown population which is being calculated from a given set of sample data using the sample size, mean, standard deviation and confidence interval. There are actually factors that directly affect the size of the confidence interval for a specific confidence level. These are the sample size, population size and the percentage. In the previous discussion (week 4), a pair of dice was rolled 10 times and the average sum of the rolls were calculated. Afterwards, the same procedure was don...
Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Similar Content
Related Tags
Enders Game
by E. M. Forster
All the Kings Men
by Robert Penn Warren
How to Win at the Sport of Business
by Mark Cuban
Flowers For Algernon
by Alice Walker
Cry the Beloved Country
by Alan Paton
The Iliad
by Homer
The Secret Life of Bees
by Sue Monk Kidd
The Second Sex
by Simone de Beauvoir
The Odyssey
by Homer