How much time do Americans spend eating or drinking? Suppose for a random sample of 1001 Americans, the mean time eating or drinking per day is 1.22 hours with a sample standard deviation of 0.65 hours. (a) Construct and interpret a 99% confidence interval for the mean amount of time Ameri- cans spend eating or drinking per day. (b) Suppose you want to conduct your own survey. Using the sample standard deviation above, how large of a sample is required to estimate the mean time Americans spend eating or drinking per day within 15 minutes of the true mean and with 95% confidence?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Problem 4
How much time do Americans spend eating or drinking? Suppose for a random sample of
1001 Americans, the mean time eating or drinking per day is 1.22 hours with a sample standard
deviation of 0.65 hours.
(a) Construct and interpret a 99% confidence interval for the mean amount of time Ameri-
cans spend eating or drinking per day.
(b) Suppose you want to conduct your own survey. Using the sample standard deviation
above, how large of a sample is required to estimate the mean time Americans spend
eating or drinking per day within 15 minutes of the true mean and with 95% confidence?
Transcribed Image Text:Problem 4 How much time do Americans spend eating or drinking? Suppose for a random sample of 1001 Americans, the mean time eating or drinking per day is 1.22 hours with a sample standard deviation of 0.65 hours. (a) Construct and interpret a 99% confidence interval for the mean amount of time Ameri- cans spend eating or drinking per day. (b) Suppose you want to conduct your own survey. Using the sample standard deviation above, how large of a sample is required to estimate the mean time Americans spend eating or drinking per day within 15 minutes of the true mean and with 95% confidence?
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