For a new study conducted by a fitness magazine,
females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of
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
calories daily with a standard deviation of
. During the March-August period, participants consumed a mean of
calories daily with a standard deviation of
. 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
confidence interval for
, the difference between the mean daily calorie consumption
of females in September-February and the mean daily calorie consumption
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. (If necessary, consult a list of formulas.)