For a new study conducted by a fitness magazine, 210 females were randomly selected. For each, the mean daily calorie consurmption was calculated for a September-February period. A second sample of 280 females was chosen independently of the first. For each of them, the mean daily calorie consumption was calculated for a March-August period. During the September-February period, participants consumed a mean of 2386.3 calories daily with a standard deviation of 212. During the March-August period, participants consumed a mean of 2413.7 calories daily with a standard deviation of 260. The population standard deviations of daily calories consumed for females in the two periods can be estimated using the sample standard deviations, as the samples that were used to compute them were quite large. Construct a 90% confidence interval for 4,-H, the difference between the mean daily calorie consumption H, of females in September-February and the mean daily calorie consumption pz of females in March-August. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: 5 ? Upper limit:
For a new study conducted by a fitness magazine, 210 females were randomly selected. For each, the mean daily calorie consurmption was calculated for a September-February period. A second sample of 280 females was chosen independently of the first. For each of them, the mean daily calorie consumption was calculated for a March-August period. During the September-February period, participants consumed a mean of 2386.3 calories daily with a standard deviation of 212. During the March-August period, participants consumed a mean of 2413.7 calories daily with a standard deviation of 260. The population standard deviations of daily calories consumed for females in the two periods can be estimated using the sample standard deviations, as the samples that were used to compute them were quite large. Construct a 90% confidence interval for 4,-H, the difference between the mean daily calorie consumption H, of females in September-February and the mean daily calorie consumption pz of females in March-August. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: 5 ? Upper limit:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:For a new study conducted by a fitness magazine, 210 females were randomly selected. For each, the mean daily calorie consurnption was calculated for a
September-February period. A second sample of 280 females was chosen independently of the first. For each of them, the mean daily calorie consumption was
calculated for a March-August period. During the September-February period, participants consumed a mean of 2386.3 calories daily with a standard deviation
of 212. During the March-August period, participants consumed a mean of 2413.7 calories daily with a standard deviation of 260. The population standard
deviations of daily calories consumed for females in the two periods can be estimated using the sample standard deviations, as the samples that were used to
compute them were quite large. Construct a 90% confidence interval for u,-, the difference between the mean daily calorie consumption H, of fermales in
September-February and the mean daily calorie consumption , of females in March-August. Then find the lower limit and upper limit of the 90% confidence
interval.
Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of
formulas.)
Lower limit: |
Upper limit:
Explanation
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