For a new study conducted by a fitness magazine, 256 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 224 calories daily with a standard deviation of . During the March-August period, participants consumed a mean of2382.2 calories daily with a standard deviation of 255. 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 95% , 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.)