Popular wisdom is that eating presweetened cereal tends to increase the number of dental caries (cavities) in children. A sample of children was (with parental consent) entered into a study and followed for several years. Each child was classified as a sweetened-cereal lover or a unsweetened cereal lover. At the end of the study, the amount of tooth damage was measured. Here are the summary data: Cereal preference Sweetened Unsweetened (d) (6.41-5.20) ± 1.96 (e) (6.41-5.20)±1.96 Assuming the necessary conditions for inference are met, which of the following is an approximate 95% confidence interval for the difference in the mean tooth damage? (a) (6.41-5.20) ± 2.262, (b) (6.41-5.20) ±2.262, (c) (6.41-5.20) ±2.145 + 5 15 + 10 15 25 225 + 10 15 25 225 10 15 25 225 + 10 15 n Mean 10 6.41 15 5.20 25 225 + V100 225 Std. Dev. 5.0 15.0
Popular wisdom is that eating presweetened cereal tends to increase the number of dental caries (cavities) in children. A sample of children was (with parental consent) entered into a study and followed for several years. Each child was classified as a sweetened-cereal lover or a unsweetened cereal lover. At the end of the study, the amount of tooth damage was measured. Here are the summary data: Cereal preference Sweetened Unsweetened (d) (6.41-5.20) ± 1.96 (e) (6.41-5.20)±1.96 Assuming the necessary conditions for inference are met, which of the following is an approximate 95% confidence interval for the difference in the mean tooth damage? (a) (6.41-5.20) ± 2.262, (b) (6.41-5.20) ±2.262, (c) (6.41-5.20) ±2.145 + 5 15 + 10 15 25 225 + 10 15 25 225 10 15 25 225 + 10 15 n Mean 10 6.41 15 5.20 25 225 + V100 225 Std. Dev. 5.0 15.0
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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![Popular wisdom is that eating presweetened cereal tends to increase the number of dental
caries (cavities) in children. A sample of children was (with parental consent) entered into a
study and followed for several years. Each child was classified as a sweetened-cereal lover or a
unsweetened cereal lover. At the end of the study, the amount of tooth damage was measured.
Here are the summary data:
Cereal
preference
Sweetened
Unsweetened
5 15
(a) (6.41–5.20) ±2.262, +
10 15
Assuming the necessary conditions for inference are met, which of the following is an
approximate 95% confidence interval for the difference in the mean tooth damage?
25 225
(b) (6.41-5.20) ±2.262, +
(c) (6.41-5.20) ±2.145
(d) (6.41-5.20) ± 1.96
(e) (6.41-5.20)±1.96
n
Mean
10
6.41
15 5.20
10 15
25 225
10 15
25 225
+
10 15
25 225
+
100 225
Std. Dev.
5.0
15.0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73fc84ba-31f2-4c34-9d71-484f34e776ea%2F110e6a66-cabe-4c73-92f1-f5b2fedcc7a9%2F3hsens_processed.png&w=3840&q=75)
Transcribed Image Text:Popular wisdom is that eating presweetened cereal tends to increase the number of dental
caries (cavities) in children. A sample of children was (with parental consent) entered into a
study and followed for several years. Each child was classified as a sweetened-cereal lover or a
unsweetened cereal lover. At the end of the study, the amount of tooth damage was measured.
Here are the summary data:
Cereal
preference
Sweetened
Unsweetened
5 15
(a) (6.41–5.20) ±2.262, +
10 15
Assuming the necessary conditions for inference are met, which of the following is an
approximate 95% confidence interval for the difference in the mean tooth damage?
25 225
(b) (6.41-5.20) ±2.262, +
(c) (6.41-5.20) ±2.145
(d) (6.41-5.20) ± 1.96
(e) (6.41-5.20)±1.96
n
Mean
10
6.41
15 5.20
10 15
25 225
10 15
25 225
+
10 15
25 225
+
100 225
Std. Dev.
5.0
15.0
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