A Packaging Machine Is Supposed to Fill Boxes of Breakfast

Multiple Choice

A packaging machine is supposed to fill boxes of breakfast cereal to a weight of 16 ounces. Eight filled boxes are selected at random and the weight of cereal is determined. The results (in ounces) are summarized in the following table. A technician wishes to test the claim that the machine is overfilling the boxes. At the 5% significance level, what is the P-value of the test statistic? (Assume the filling weights are normally distributed.)

A) 0.262
B) 0.005
C) 0.032
D) 0.081
E) 0.115