For a new study conducted by a fitness magazine, 220 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of 260 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 2385.8 calories daily with a standard deviation of 218. During the March-August period, participants consumed a mean of 2414.2 calories daily with a standard deviation of 267.5. 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 −μ1μ2, 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 complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. What is the lower limit of the 90% confidence interval? What is the upper limit of the 90% confidence interval?

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Description: For a new study conducted by a fitness magazine, 220 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of 260 females was chosen independently of the first. Fo

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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For a new study conducted by a fitness magazine, 220 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of 260 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

2385.8 calories daily with a standard deviation of 218. During the March-August period, participants consumed a mean of 2414.2 calories daily with a standard deviation of 267.5. 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 −μ1μ2, 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 complete the table below.

Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places.

What is the lower limit of the 90% confidence interval?
What is the upper limit of the 90% confidence interval?

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