Question

Small bags of Christmas candy are labelled as coming in packages weighing 52 grams.
You purchase 36 such packages and weigh each one of them after removing the
wrapping, only to discover that not one of the 36 packages weighed 52 grams, and the
mean weight of your sample is 51.5 grams. Understanding that some variation is to
be expected in the manufacturing process, you call up the Christmas Candy Company
of Canada Inc. (the company that manufactures these packages of candy) to ask how
much variation is allowed for. A spokesperson for the company informs you that a
standard deviation of 1 gram is considered reasonable. Based on your sample and
assuming your weighing is accurate, do the claimed parameters of μ and σ for the
candy manufacturing process provide a plausible explanation (at α = .05) for the
results you obtained?

Answer 1