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A candy company claims that 10% of all their candy products are green. Suppose that the candies are packaged at random in small bags containing about 200 candies. A class of elementary school students learning about pere opens several bags, counts the various colors of the candies, and calculates the proportion that are green. Complete parts a through c below. a) Explain why it's appropriate to use a Normal model to describe the distribution of the proportion of green candies they might expect. Select all that apply O A. The Success/Failure Condition is met since np 2 10. O B. The 10% Condition is met because several bags of candy is far less than 10% of the population of candy O C. The Randomization Condition is met because the candies are randomly packaged into each bag. O D. The Success/Failure Condition is met since ng 2 10. b) Use the 68-95-99.7 Rule to describe how this proportion might vary from bag to bag. About 68% will be between% and%, 95% will be between% and%, and 99.7% will be between% and%. (Use ascending order. Type integers or decimals rounded to one decimal place as needed.) c) How would this model change if the bags contained even more candies? O A. The model would have the same spread and a larger center value. O B. The model would have a larger center value and more spread. OC. The model would have the same spread and a smaller center value. O D. The model would have the same center and less soread.

A candy company claims that 10% of all their candy products are green. Suppose that the candies are packaged at random in small bags containing about 200 candies. A class of elementary school students learning about pere opens several bags, counts the various colors of the candies, and calculates the proportion that are green. Complete parts a through c below. a) Explain why it's appropriate to use a Normal model to describe the distribution of the proportion of green candies they might expect. Select all that apply O A. The Success/Failure Condition is met since np 2 10. O B. The 10% Condition is met because several bags of candy is far less than 10% of the population of candy O C. The Randomization Condition is met because the candies are randomly packaged into each bag. O D. The Success/Failure Condition is met since ng 2 10. b) Use the 68-95-99.7 Rule to describe how this proportion might vary from bag to bag. About 68% will be between% and%, 95% will be between% and%, and 99.7% will be between% and%. (Use ascending order. Type integers or decimals rounded to one decimal place as needed.) c) How would this model change if the bags contained even more candies? O A. The model would have the same spread and a larger center value. O B. The model would have a larger center value and more spread. OC. The model would have the same spread and a smaller center value. O D. The model would have the same center and less soread.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A candy company claims that 10% of all their candy products are green. Suppose that the candies are packaged at random in small bags containing about 200 candies. A class of elementary school students learning about percents opens several bags, counts the various colors of the candies, and calculates the proportion that are green. Complete parts a through c below. a) Explain why it's appropriate to use a Normal model to describe the distribution of the proportion of green candies they might expect. Select all that apply. O A. The Success/Failure Condition is met since np 2 10. O B. The 10% Condition is met because several bags of candy is far less than 10% of the population of candy O C. The Randomization Condition is met because the candies are randomly packaged into each bag. O D. The Success/Failure Condition is met since ng 2 10. b) Use the 68-95-99.7 Rule to describe how this proportion might vary from bag to bag. About 68% will be between % and %, 95% will be between % and %, and 99.7% will be between % and %. (Use ascending order. Type integers or decimals rounded to one decimal place as needed.) c) How would this model change if the bags contained even more candies? O A. The model would have the same spread and a larger center value. O B. The model would have a larger center value and more spread. O C. The model would have the same spread and a smaller center value. O D. The model would have the same center and less soread.
Transcribed Image Text:A candy company claims that 10% of all their candy products are green. Suppose that the candies are packaged at random in small bags containing about 200 candies. A class of elementary school students learning about percents opens several bags, counts the various colors of the candies, and calculates the proportion that are green. Complete parts a through c below. a) Explain why it's appropriate to use a Normal model to describe the distribution of the proportion of green candies they might expect. Select all that apply. O A. The Success/Failure Condition is met since np 2 10. O B. The 10% Condition is met because several bags of candy is far less than 10% of the population of candy O C. The Randomization Condition is met because the candies are randomly packaged into each bag. O D. The Success/Failure Condition is met since ng 2 10. b) Use the 68-95-99.7 Rule to describe how this proportion might vary from bag to bag. About 68% will be between % and %, 95% will be between % and %, and 99.7% will be between % and %. (Use ascending order. Type integers or decimals rounded to one decimal place as needed.) c) How would this model change if the bags contained even more candies? O A. The model would have the same spread and a larger center value. O B. The model would have a larger center value and more spread. O C. The model would have the same spread and a smaller center value. O D. The model would have the same center and less soread.
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