Suppose if an introductory statistics textbook was given to all potential readers for review in 1-to-5 stars rating system, with 5 stars being the best, the population distribution of the ratings would be as follows: 50% of the readers give 5 stars, 25% give 4 stars, 25% of the readers give 2 stars. Of course it is impossible to ask all potential readers to rate the textbook. So the book seller samples potential readers from the population and ask them to rate the book. The following graphs are ● ● (1) Histogram of the ratings given by all potential readers (2) Histogram of the ratings given by 100 randomly sampled readers (3) Histogram of 5000 sample means of the ratings from random samples of each size 10

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Suppose if an introductory statistics textbook was given to all potential readers for review in 1-to-5 stars
rating system, with 5 stars being the best, the population distribution of the ratings would be as follows:
50% of the readers give 5 stars, 25% give 4 stars, 25% of the readers give 2 stars.
Of course it is impossible to ask all potential readers to rate the textbook. So the book seller samples potential
readers from the population and ask them to rate the book.
The following graphs arc
●
●
(1) Histogram of the ratings given by all potential readers
(2) Histogram of the ratings given by 100 randomly sampled readers
(3) Histogram of 5000 sample means of the ratings from random samples of each size 10
(4) Histogram of 5000 sample means of the ratings from random samples of each size 100
1
A
T
2 3 4
5
B
3.6 3.8 4.0 4.2 4.4
T
T
T
1 2 3
T
4
1
5
Determine which graph (A, B, C, or D) is which and explain your reasoning.
T
2.5 3.0 3.5 4.0 4.5 5.0
Transcribed Image Text:Suppose if an introductory statistics textbook was given to all potential readers for review in 1-to-5 stars rating system, with 5 stars being the best, the population distribution of the ratings would be as follows: 50% of the readers give 5 stars, 25% give 4 stars, 25% of the readers give 2 stars. Of course it is impossible to ask all potential readers to rate the textbook. So the book seller samples potential readers from the population and ask them to rate the book. The following graphs arc ● ● (1) Histogram of the ratings given by all potential readers (2) Histogram of the ratings given by 100 randomly sampled readers (3) Histogram of 5000 sample means of the ratings from random samples of each size 10 (4) Histogram of 5000 sample means of the ratings from random samples of each size 100 1 A T 2 3 4 5 B 3.6 3.8 4.0 4.2 4.4 T T T 1 2 3 T 4 1 5 Determine which graph (A, B, C, or D) is which and explain your reasoning. T 2.5 3.0 3.5 4.0 4.5 5.0
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