Ind the average caffeine intake of the group to be 273 mg/day. A 99% confidence interval for the average daily caffeine intake was found to be (265.73 mg/day, 280.27 mg/day). Which of the following is a correct interpretation of the 99% confidence level? We are 99% confident that the sample mean caffeine intake is between 265.73 mg/day and 280.27 mg/day. We cannot interpret the confidence level in this case because the sample size is not very large. Therefore this estimate is not likely to accurately reflect a plausible set of values for the population of interest. There is a 99% probability that the population mean caffeine intake is between 265.73 mg/day and 280.27 mg/day. O If we were to take every sample of size 28, then 99% of the intervals created would capture the sample mean caffeine intake for this population. frize 28 then 99% of the intervals created

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
icon
Related questions
Question
Please help it’s not graded
A study of 28 random adults found the average caffeine intake of the group to be 273 mg/day.
A 99% confidence interval for the average daily caffeine intake was found to be (265.73
mg/day, 280.27 mg/day). Which of the following is a correct interpretation of the 99%
confidence level?
We are 99% confident that the sample mean caffeine intake is between 265.73
mg/day and 280.27 mg/day.
We cannot interpret the confidence level in this case because the sample size is
not very large. Therefore this estimate is not likely to accurately reflect a
plausible set of values for the population of interest.
O
There is a 99% probability that the population mean caffeine intake is between
265.73 mg/day and 280.27 mg/day.
O
If we were to take every sample of size 28, then 99% of the intervals created
would capture the sample mean caffeine intake for this population.
O
If we were to take every sample of size 28, then 99% of the intervals created
would capture the population mean caffeine intake for this population.
We are 99% confident that the population mean caffeine intake is between
265.73 mg/day and 280.27 mg/day.
Page 17 of 42
Transcribed Image Text:A study of 28 random adults found the average caffeine intake of the group to be 273 mg/day. A 99% confidence interval for the average daily caffeine intake was found to be (265.73 mg/day, 280.27 mg/day). Which of the following is a correct interpretation of the 99% confidence level? We are 99% confident that the sample mean caffeine intake is between 265.73 mg/day and 280.27 mg/day. We cannot interpret the confidence level in this case because the sample size is not very large. Therefore this estimate is not likely to accurately reflect a plausible set of values for the population of interest. O There is a 99% probability that the population mean caffeine intake is between 265.73 mg/day and 280.27 mg/day. O If we were to take every sample of size 28, then 99% of the intervals created would capture the sample mean caffeine intake for this population. O If we were to take every sample of size 28, then 99% of the intervals created would capture the population mean caffeine intake for this population. We are 99% confident that the population mean caffeine intake is between 265.73 mg/day and 280.27 mg/day. Page 17 of 42
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning