Question
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
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 225 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 2383.3 calories daily with a standard deviation of 194. During the March-August period, participants consumed a mean of 2416.2 calories daily with a standard deviation of 240. 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 95% confidence interval for 1-2 , the difference between the mean daily calorie consumption 1 of females in September-February and the mean daily calorie consumption 2 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.)
- What is the lower limit of the 95% confidence interval?
- What is the upper limit of the 95% confidence interval?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started