7. A bottling company helps various brands to fill up 330ml cans with soft drinks. It is noted that the volume of soft drinks filled follows a normal distribution. Twenty (20) such cans were randomly tested and the mean volume is 327ml while the standard deviation is 2.8ml. a) What is the 99% confidence interval for the mean volume of soft drinks filled? b) With reference to this context, explain the meaning of the confidence interval that you have obtained and interpret the confidence level.
7. A bottling company helps various brands to fill up 330ml cans with soft drinks. It is noted that the volume of soft drinks filled follows a normal distribution. Twenty (20) such cans were randomly tested and the mean volume is 327ml while the standard deviation is 2.8ml. a) What is the 99% confidence interval for the mean volume of soft drinks filled? b) With reference to this context, explain the meaning of the confidence interval that you have obtained and interpret the confidence level.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question
![7.
A bottling company helps various brands to fill up 330ml cans with soft drinks. It is noted
that the volume of soft drinks filled follows a normal distribution. Twenty (20) such cans
were randomly tested and the mean volume is 327ml while the standard deviation is 2.8ml.
a) What is the 99% confidence interval for the mean volume of soft drinks filled?
b) With reference to this context, explain the meaning of the confidence interval that
you have obtained and interpret the confidence level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60cd2f3b-14de-4127-808b-98b652e2dc68%2Fa3eaae49-281b-4dc7-a650-b45907fe8eb9%2Fnkabfs_processed.png&w=3840&q=75)
Transcribed Image Text:7.
A bottling company helps various brands to fill up 330ml cans with soft drinks. It is noted
that the volume of soft drinks filled follows a normal distribution. Twenty (20) such cans
were randomly tested and the mean volume is 327ml while the standard deviation is 2.8ml.
a) What is the 99% confidence interval for the mean volume of soft drinks filled?
b) With reference to this context, explain the meaning of the confidence interval that
you have obtained and interpret the confidence level.
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