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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
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