For a new study conducted by a fitness magazine, 270 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of 285 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 2385.9 calories daily with a standard deviation of 170. During the March-August period, participants consumed a mean of 2414.1 calories daily with a standard deviation of 230. 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 95% confidence interval for μ₁-₂, the difference between the mean daily calorie consumption μ₁ of females in September-February and the mean daily calorie consumption μ₂ of females in March-August. Then find the lower limit and upper limit of the 95% 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: X Ś
For a new study conducted by a fitness magazine, 270 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of 285 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 2385.9 calories daily with a standard deviation of 170. During the March-August period, participants consumed a mean of 2414.1 calories daily with a standard deviation of 230. 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 95% confidence interval for μ₁-₂, the difference between the mean daily calorie consumption μ₁ of females in September-February and the mean daily calorie consumption μ₂ of females in March-August. Then find the lower limit and upper limit of the 95% 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: X Ś
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:For a new study conducted by a fitness magazine, 270 females were randomly selected. For each, the mean daily calorie consumption was calculated for a
September-February period. A second sample of 285 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 2385.9 calories daily with a standard deviation
of 170. During the March-August period, participants consumed a mean of 2414.1 calories daily with a standard deviation of 230. 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 95% confidence interval for μ₁-₂, the difference between the mean daily calorie consumption μ₁ of females in
September-February and the mean daily calorie consumption μ₂ of females in March-August. Then find the lower limit and upper limit of the 95% 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:
X
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