3.There are two bags, each containing 50 marbles. In one of the bags, 80% of the marbles are red and20% are black. In the other bag, 40% of the marbles are red and 60% are black, Students took randomsamples of 10 marbles from each bag (replacing the marbles after every sample) and made the dot plots shownnext.Bag 1Bag 201 2 3 4 5 6 7 8 9 100 1 2 3 4 5 6 7 8 9 10Numbers of red marbles inrandom samples of 10 marblesNumbers of red marbles inrandom samples of 10 marblesFor each of the following questions, answer the question (to the extent possible) and determine the graph-reading level of the question. Explain your reasoning.a. How many random samples were taken from Bag 1? How many random samples were taken from Bag2?b. From which bag were more random samples that contained exactly 5 red marbles taken?c. Did any of the random samples have exactly 8 black marbles?d. How many random samples from Bag 1 had exactly 8 red marbles? How many random samples fromBag 2 had exactly 8 red marbles?000000000000O0000000000n0000000000000 N For each of the following questions, answer the question (to the extent possible) and determine the graph-eading level of the question. Explain your reasoning.a. How many random samples were taken from Bag 1? How many random samples were taken from Bag2?b. From which bag were more random samples that contained exactly 5 red marbles taken?c. Did any of the random samples have exactly 8 black marbles?d. How many random samples from Bag 1 had exactly 8 red marbles? How many random samples fromBag 2 had exactly 8 red marbles?e. What percent of the random samples from Bag 1 had between 30% and 50% red marbles?What percent of the random samples from Bag 2 had between 30% and 50% red marbles?f. What percent of the random samples from Bag 1 had between 70% and 90% red marbles?What percent of the random samples from Bag 2 had between 70% and 90% red marbles?g. Which bag is more likely to be the one with 40% red marbles and which bag is more likely to be the onewith 80% red marbles? Why?h. A third bag of 50 marbles contains 50% red marbles and 50% black marbles. If students take randomsamples of 10 marbles from that bag, how do you think a dot plot for those random samples wouldcompare to the dot plots for Bag 1 and Bag 2?

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Question

3.
There are two bags, each containing 50 marbles. In one of the bags, 80% of the marbles are red and
20% are black. In the other bag, 40% of the marbles are red and 60% are black, Students took random
samples of 10 marbles from each bag (replacing the marbles after every sample) and made the dot plots shown
next.
Bag 1
Bag 2
01 2 3 4 5 6 7 8 9 10
0 1 2 3 4 5 6 7 8 9 10
Numbers of red marbles in
random samples of 10 marbles
Numbers of red marbles in
random samples of 10 marbles
For each of the following questions, answer the question (to the extent possible) and determine the graph-
reading level of the question. Explain your reasoning.
a. How many random samples were taken from Bag 1? How many random samples were taken from Bag
2?
b. From which bag were more random samples that contained exactly 5 red marbles taken?
c. Did any of the random samples have exactly 8 black marbles?
d. How many random samples from Bag 1 had exactly 8 red marbles? How many random samples from
Bag 2 had exactly 8 red marbles?
0000
00
000000O
00000
00
000n
0000
000000
000 N

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. What percent of the random samples from Bag 1 had between 30% and 50% red marbles? What percent of the random samples from Bag 2 had between 30% and 50% red marbles? f. What percent of the random samples from Bag 1 had between 70% and 90% red marbles? What percent of the random samples from Bag 2 had between 70% and 90% red marbles? g. Which bag is more likely to be the one with 40% red marbles and which bag is more likely to be the one with 80% red marbles? Why? h. A third bag of 50 marbles contains 50% red marbles and 50% black marbles. If students take random samples of 10 marbles from that bag, how do you think a dot plot for those random samples would compare to the dot plots for Bag 1 and Bag 2?

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