# A cereal manufacturer claims that the weight of a box of cereal labeled as weighing 12 ounces has a mean of 12.0 ounces and a standard deviation of 0.1 ounce. You sample 75 boxes and weigh them. Let line over x symbol denote the mean weight of the 75 boxes.  a) If the mean weight of the boxes were 11.99 ounces, would you be convinced that the claim was false? Explain.  b) Is 11.99 ounces an unusually small mean weight for a sample of 75 boxes? c) If the mean weight of the boxes wre 11.97 ounces, would you be convinced that the claim was false? Explain.

Question

A cereal manufacturer claims that the weight of a box of cereal labeled as weighing 12 ounces has a mean of 12.0 ounces and a standard deviation of 0.1 ounce. You sample 75 boxes and weigh them. Let line over x symbol denote the mean weight of the 75 boxes.

a) If the mean weight of the boxes were 11.99 ounces, would you be convinced that the claim was false? Explain.

b) Is 11.99 ounces an unusually small mean weight for a sample of 75 boxes?

c) If the mean weight of the boxes wre 11.97 ounces, would you be convinced that the claim was false? Explain.