You are interested in studying whether college juniors or college sophomores consume more calories. You ask a sample of n₁ = 35 college juniors and n₂ = 40 college sophomores to record their daily caloric intake for a week.
The average daily caloric intake for college juniors was M₁ = 2,423 calories, with a standard deviation of s₁ = 237. The average daily caloric intake for college sophomores was M₂ = 2,679 calories, with a standard deviation of s₂ = 256.
To develop a confidence interval for the population mean difference μ₁ – μ₂, you need to calculate the estimated standard error of the difference of sample means, s(M1 – M2)(M1 – M2). The estimated standard error is s(M1 – M2)(M1 – M2) = .
Use the Distributions tool to develop a 95% confidence interval for the difference in the mean daily caloric intake of college juniors and college sophomores.
0123
Standard Normalt Distribution
Select a Distribution