For a new study conducted by a fitness magazine 290 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September - February period. A second sample of 255 females were 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 2384.9 calories daily with a standard deviation of 184. During the March - August period participants consumed a mean of 2415.1 calories daily with a standard deviation of 237.5. The population standard deviations of daily calorie 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 95% confidence interval for u1- u2, the difference between the mean daily consumption u1 of females in September - February and the mean daily calorie consumption u1 of females in March - August. Then find the lower and upper limit of the 95% confidence interval. Lower limit: Upper limit:
For a new study conducted by a fitness magazine 290 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September - February period. A second sample of 255 females were 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 2384.9 calories daily with a standard deviation of 184. During the March - August period participants consumed a mean of 2415.1 calories daily with a standard deviation of 237.5. The population standard deviations of daily calorie 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 95% confidence interval for u1- u2, the difference between the mean daily consumption u1 of females in September - February and the mean daily calorie consumption u1 of females in March - August. Then find the lower and upper limit of the 95% confidence interval.
Lower limit:
Upper limit:
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