The fun size of a Snickers bar is supposed to weigh 20 grams

The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72.

By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of = 0.01.

F) State the statistical decision of the test and justify your conclusion.

G) Interpret your decision in the context of the problem. Use full sentences.

Solution