For a new study conducted by a fitness magazine, 255 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of 245 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 2385.5 calories daily with a standard deviation of 226. During the March-August period, participants consumed a mean of 2414.5 calories daily with a standard deviation of 275. 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,-4,, the difference between the mean daily calorie consumption u, of females in September-February and the mean daily calorie consumption H2 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:

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For a new study conducted by a fitness magazine, 255 females were
randomly selected. For each, the mean daily calorie consumption was
calculated for a September-February period. A second sample of 245
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 2385.5 calories daily with a standard deviation of 226. During the
March-August period, participants consumed a mean of 2414.5 calories
daily with a standard deviation of 275. 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
the difference between the mean daily calorie
interval for
consumption
of females in September-February and the mean daily
calorie consumption u, 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:
Transcribed Image Text:For a new study conducted by a fitness magazine, 255 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of 245 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 2385.5 calories daily with a standard deviation of 226. During the March-August period, participants consumed a mean of 2414.5 calories daily with a standard deviation of 275. 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 the difference between the mean daily calorie interval for consumption of females in September-February and the mean daily calorie consumption u, 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:
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