Question

Cans of Diet Coke are filled by machines that should be dispensing an average of 180 milliliters (ml) of liquid. Coca-cola headquarters suspects that one of its bottling plants is not setting its machines at 180 ml and is therefore not filling accurately. To investigate, a quality-control inspector takes an SRS of 40 cans that have been bottled at that plant and measures the volume of liquid in each can. The mean amount of liquid in the sample of cans is 179.4 ml and the standard deviation of the sample is 1.4 ml. Do these data provide convincing evidence at the LaTeX: \alpha=0.05α = 0.05 significance level that the plant is filling cans at a level different than 180ml? Construct and interpret a 95% confidence interval for the problem. (make sure to show all 4 steps;) Upload your work.

Answer 1