A Machine That Is Programmed to Package 1

Multiple Choice

A machine that is programmed to package 1.20 pounds of cereal is being tested for its accuracy in a sample of 36 cereal boxes, the sample mean filling weight is calculated as 1.22 pounds. The population standard deviation is known to be 0.06 pounds. Find the 95% confidence interval for the mean.

A) [1.20, 1.24]
B) [1.18, 1.26]
C) [1.16, 1.28]
D) [1.14, 1.30]