In lecture, we analyzed the simulated results of rolling five normal dice a total of 1,000 times. We determined that the mean of the distribution of sample means was about 3.5, which is the mean of the population of rolls (1, 2, 3, 4, 5, 6). We also determined that the mean of the sample proportions for odd rolls was about 0.5. This agreed with the population result, where 3/6 numbers in the population are odd. How would you expect these results to change if each of the five dice were weighted according to the table below? In particular, how would this affect the mean of the distribution of sample means? The mean of the distribution of sample proportions for odd rolls? Discuss from a qualitative perspective. You do not need to perform any calculations here. Roll Probability 1 0.1 2 0.1 3 0.1 4 0.4 0.1 0.2

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
In lecture, we analyzed the simulated results of rolling five normal dice a total of 1,000 times. We
determined that the mean of the distribution of sample means was about 3.5, which is the mean
of the population of rolls {1, 2, 3, 4, 5, 6}. We also determined that the mean of the sample
proportions for odd rolls was about 0.5. This agreed with the population result, where 3/6
numbers in the population are odd.
How would you expect these results to change if each of the five dice were weighted according
to the table below? In particular, how would this affect the mean of the distribution of sample
means? The mean of the distribution of sample proportions for odd rolls? Discuss from a
qualitative perspective. You do not need to perform any calculations here.
Roll
Probability
1
0.1
2
0.1
3
0.1
4
0.4
0.1
6.
0.2
Transcribed Image Text:In lecture, we analyzed the simulated results of rolling five normal dice a total of 1,000 times. We determined that the mean of the distribution of sample means was about 3.5, which is the mean of the population of rolls {1, 2, 3, 4, 5, 6}. We also determined that the mean of the sample proportions for odd rolls was about 0.5. This agreed with the population result, where 3/6 numbers in the population are odd. How would you expect these results to change if each of the five dice were weighted according to the table below? In particular, how would this affect the mean of the distribution of sample means? The mean of the distribution of sample proportions for odd rolls? Discuss from a qualitative perspective. You do not need to perform any calculations here. Roll Probability 1 0.1 2 0.1 3 0.1 4 0.4 0.1 6. 0.2
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman