Reference no: EM132474334

For a new study conducted by a fitness magazine, 295 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period.

A second sample of 200 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 2387.9 calories daily with a standard deviation of 180.

During the March-August period, participants consumed a mean of 2412.1 calories daily with a standard deviation of 222.5.

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.

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

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

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