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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
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